To my wife and parents. EMPLOYEE TRAVEL AT THE DALLAS/FORT WORTH REGIONAL AIRPORT by WALDO ANTONIO ZAMBRANO B. S. in Civil Engineering THESIS Presented to the Faculty of the Graduate School of The Texas at Austin University of in Partial Fulfillment of the Requirements for the Degree of MASTER OF SCIENCE IN ENGINEERING THE UNIVERSITY OF TEXAS AT AUSTIN May 1976 ACKNOWLEDGEMENTS I gratefully acknowledge the invaluable contributions of Dr. William of J. Dunlay, Jr., as my supervisor in the preparation this thesis, and Dr. Clyde Lee as co-supervisor, who responded enthusiastically to all my requests for advice. The The Council for Special recognition to University of Zulia, Advanced Ronald Tom Transportation Studies, Linehan, Lyndon Henry, Caffery, The Delgado Family, Rita Tamayo and all those persons or entities who in one way or another aided in the completion of this report. Special thanks to my wife, my great support, and my parents. ABSTRACT This thesis presents an analysis of data that were obtained from the Employee Travel Survey made at the Dallas/Fort Worth Regional Airport (DFW) in May 1975 and a methodology for estimating DFW employee vehicular volumes arriving at or leaving the airport in a given time interval. From the survey information, an analysis is employee made of characteristics for all the DFW employees. This is followed by a com parison of employee characteristics according to whether or not they previously worked at Love Field Airport in Dallas. Theoretical distributions are developed for the period between the times that the work shifts start and end and the actual time employees' that employees arrive at or leave the airport relative to those starting and ending times. Different theoretical distributions are obtained for different periods of the day. Finally, a model is developed for estimvehicular volumes from the work shift times or ating employee (starting ending) and the number of employees on each work shift. Estimates from the model were found to compare favorably with actual counts of employee vehicles made during the survey. IV TABLE OF CONTENTS iv ABSTRACT vi LIST OF TABLES viii LIST OF FIGURES 1CHAPTER I. INTRODUCTION 1 Objectives of Study 1 and Limitations Scopes 3 CHAPTER 11. PREVIOUS RESEARCH 5 CHAPTER 111. EMPLOYEE TRAVEL SURVEY The 5 Survey Form 9 Survey Method Problems Encountered in Employee Survey 13 Sample Size 14 17 CHAPTER IV. ANALYSIS OF DFW EMPLOYEE DATA I Total DFW Sampled Employees 7 DFW to Previous Work Place Employees According 30 CHAPTER V. ARRIVAL AND DEPARTURE DISTRIBUTIONS OF DFW EMPLOYEES 47 Determination of the Periods 47 Determination of the Theoretical Distributions 50 of Day for Analysis CHAPTER VI. MODEL DEVELOPMENT 59 Fundamental and Theoretical Concepts 59 Computation of Vehicular Volumes 64 Input Data 66 Output 68 Calibration of the Model 71 CHAPTER VII. CONCLUSIONS AND RECOMMENDATIONS 76 APPENDICES A Appendix B 89 Appendix 80 REFERENCES 100 V LIST OF TABLES PAGE 3.1. EMPLOYEE BY CATEGORY OF EMPLOYER 6 3.2. EMPLOYEE SAMPLE BY TYPE OF EMPLOYER CATEGORY 15 4.1A. DISTRIBUTION OF DFW EMPLOYEE RESIDENTIAL LOCATION BY CITIES INSIDE THE INTENSIVE STUDY AREA 21 4.18. DISTRIBUTION OF EMPLOYEE RESIDENTIAL LOCATION BY CITIES OUTSIDE THE INTENSIVE STUDY AREA 22 4.2. ZONE NUMBERS FOR THOSE EMPLOYEES WHO DID NOT GIVE A COMPLETE ADDRESS BUT DID GIVE THE CITY 25 4.3. MODE COMBINATION USED BY DFW EMPLOYEES IN THEIR WORK TRIP. 27 . 4.4. PERCENT OF DFW EMPLOYEES BY TYPE OF WORK 28 4.5. DFW EMPLOYEES BY AGE 31 4.6. DFW EMPLOYEES BY SEX 32 4.7A. DISTRIBUTION OF DFW EMPLOYEE RESIDENTIAL LOCATION BY CITIES INSIDE THE INTENSIVE STUDY AREA ACCORDING TO PREVIOUS WORK PLACE 35 4.78. DISTRIBUTION OF DFW EMPLOYEE RESIDENTIAL LOCATION BY CITIES OUTSIDE THE INTENSIVE STUDY AREA ACCORDING TO PREVIOUS WORK PLACE 39 4.8. MODE COMBINATIONS USED BY DFW EMPLOYEES IN THEIR WORK TRIPS ACCORDING TO PREVIOUS WORK PLACE 41 4.9. DISTRIBUTION OF DFW EMPLOYEES BY OCCUPATION ACCORDING 42 TO PREVIOUS WORK PLACE 4.10. DFW EMPLOYEES BY AGE ACCORDING TO PREVIOUS WORK PLACE. 45 .. 4.11. DFW EMPLOYEES BY SEX ACCORDING TO PREVIOUS WORK PLACE. 45 . . 5.1. LIMITS OF PERIODS OF STARTING AND ENDING WORK SHIFTS 51 ... 5.2. CHARACTERISTICS OF PERIODS OF DFW EMPLOYEES STARTING THEIR WORK SHIFTS VI TABLE PERIODS OF DFW EMPLOYEES 5.3. CHARACTERISTICS OF 57 ENDING THEIR WORK SHIFTS 6.1 COMPARISON OF DFW EMPLOYEE VOLUME FROM DIFFERENT 72 SOURCES (ARRIVING AT THE AIRPORT) 6.2 COMPARISON OF DFW EMPLOYEE VOLUME FROM DIFFERENT 73 SOURCES (LEAVING THE AIRPORT) VII LIST OF FIGURES FIGURE PAGE 3.1 EMPLOYEE SURVEY FORM 7 3.1 (CONTINUED) 8 3.2 INTRODUCTORY LETTER TO EMPLOYERS 10 3.3 INSTRUCTIONS TO EMPLOYERS 11 3.4 INSTRUCTIONS TO SUPERVISORS 12 4.1 REGIONAL ANALYSIS AREA DESIGNATIONS 18 4.2 CITIES INSIDE THE INTENSIVE STUDY AREA 19 4.3 ZONAL DISTRIBUTION OF DFW EMPLOYEES 20 4.4 DISTRIBUTION OF DFW THE INTENSIVE STUDY EMPLOYEES AREA BY CITIES INSIDE 23 4.5 DFW EMPLOYEES WORK TRAVEL MODE 26 4.6 DFW EMPLOYEES BY FAMILY INCOME 29 4.7 ZONAL DISTRIBUTION WORK AT LOVE FIELD OF DFW EMPLOYEES AIRPORT WHO USED TO 33 4.8 ZONAL DISTRIBUTION WORK AT LOVE FIELD OF DFW EMPLOYEES AIRPORT WHO DID NOT 34 4.9 DISTRIBUTION OF DFW EMPLOYEES WHO FIELD AIRPORT BY CITIES INSIDE THE USED TO WORK AT INTENSIVE STUDY LOVE AREA. . . 36 4.10 DISTRIBUTION OF DFW EMPLOYEES FIELD AIRPORT BY CITIES INSIDE WHO THE DID NOT WORK AT LOVE INTENSIVE STUDY AREA. . . 37 4.11 DFW EMPLOYEES PREVIOUS WORK WORK TRAVEL PLACE MODE ACCORDING TO 40 4.12 DFW EMPLOYEES WORK PLACE BY INCOME LEVEL ACCORDING TO PREVIOUS 44 5.1 DISTRIBUTION OF DFW EMPLOYEES WORK. SHIFT STARTING TIMES OF 48 VIII FIGURE PAGE 5.2 DISTRIBUTION OF WORK SHIFT ENDING TIMES OF DFW EMPLOYEES 49 5.3 TYPICAL DISTRIBUTION OF TIME DIFFERENCE DATA 53 5.4 PROCEDURE FOR FITTING TIME DIFFERENCE DISTRIBUTION 54 5.5 SAMPLE DISTRIBUTION FOR DFW EMPLOYEES ARRIVING AT THE DFW AIRPORT 58 5.6 SAMPLE DISTRIBUTION FOR DFW EMPLOYEES LEAVING THE DFW AIRPORT 58 6.1 EMPLOYEE VEHICLES ARRIVAL PATTERNS (SINGLE WORK SHIFT TIME) 60 6.2 EMPLOYEE VEHICLES DEPARTURE PATTERNS (SINGLE WORK SHIFT TIME) 60 6.3 EMPLOYEE VEHICLES ARRIVAL PATTERNS (OVERLAPPING OF CURVES) 63 6.4 EMPLOYEE VEHICLES DEPARTURE PATTERNS (OVERLAPPING OF CURVES) 63 6.5 FLOW CHART OF EMPLOYEE VEHICLE VOLUME COMPUTATION 65 6.6 INPUT DATA STRUCTURE 67 6.7 WORK SHIFT INFORMATION 69 6.8 PERIODS INFORMATION 69 6.9 CALCULATED DFW EMPLOYEE VOLUMES 70 6.10 CALCULATED AND COUNTED DFW EMPLOYEE VOLUMES (ARRIVING AT THE AIRPORT) 75 6.11 CALCULATED AND COUNTED DFW EMPLOYEE VOLUMES (LEAVING THE AIRPORT) 75 ix CHAPTER I. INTRODUCTION The work presented in this thesis is part of a project undertaken under the auspices of the Council for Advanced Transportation Studies at University of at project sponsored by the The Texas Austin. The is Office of the of of University Research U. S. Department Transportation. The study staff consisted of two principal investigators, Dr. William Dunlay, Jr. of Civil Engineering of Geography, J. and Dr. Pat Burnett plus various research students (of which associates, graduate research the author was and one), undergraduate students. Objectives of Study The the research described in this thesis is to objective of analyze part of the data obtained from the Dallas-Fort Worth Airport (DFW) employee survey in May (Ref. 4). analysis will consist conducted 1975 The of a comparison of DFW employees according to whether or not they previously worked at Love Field Airport in Dallas and an analysis of the times that employees arrived at or left the airport relative to work shift starting or ending times. Based on this latter analysis, a method ology is developed for estimating employee vehicles the number of DFW that be to enter and leave the time can expected airport in any given interval. Scope and Limitations In the comparison of DFW employees according to whether or not they used to work at Love Field, a general analysis is made of all those characteristics for which both subsets of employees presented enough information in the above mentioned survey. In particular, the same anal ysis is made of both subsets and a comparison is made of the DFW employees who previously worked at Love Field and the current DFW employees who did not. In the analysis of the time that employees arrive at or leave the relative to the of the airport starting and ending their work shift, 1 distributions of the interval between those two times are tested against known theoretical distributions. The number of candidate theoretical and the distributions is five, goodness-of-fit test used is the Test and For the methodology developed to estimate the number of employees Kolmogorov-Smirnov (Refs. 1,2, 5 13). entering and leaving the airport in a given time interval, the required input includes the periods of the day to be considered, parameters of the above theoretical distributions for each period, the starting or ending time of each work shift, and the respective number of employees. The output is the number of employee vehicles entering or leaving the air port for any given time period. CHAPTER 11. PREVIOUS RESEARCH The results of past airport employee travel surveys have not been widely published. References which discuss this matter are quite limited. In most of the references concerned with the study of airport access traffic, the influence of the airport employees is mentioned, but how this influence is distributed in time is almost described never modeled. or John Robinson and Peter Nordie (Ref. 12) present an origin/destination survey of Washington National Airport. In the employee survey part of that study the following procedures were followed: contacted 1. Organizations having more that 75 employees were From of personally. an alphabetical listing of all employees these a organizations sample consisting of every eighth person and was selected, a weekly record of travel patterns was obtained for that sample. 2. For organizations with less than 75 employees, questionnaires were sent to the organizations by mail with the instructions to be followed in selecting employees for the sample. 3. The information obtained from the employee survey included: a) Work hours b) Home address c) Type of vehicle d) Automobile occupancy e) Trip time (from and to the airport) Attitude toward about the f) trip time, i.e., feeling trip time. Only summary comments about the results of the questions asked in the employee survey were presented in the reference 12. (Ref. 3) presents study Merrit Chance a as to how the different users (of whom employees are one category) of airport access highways create ground transportation problems. In the section called "Daily Distribution of and Travel Air Passengers, Employees Related Visitors," several graphs that give some indication of the daily movement of people 3 at six airports, which are San Francisco, Washington National, Dulles, Friendship, Los Angeles, and London Heathrow,are presented. It is quite obvious that in the percentage of volume represented by daily employees this study was deterministically from starting and ending derived the work shift times. No references about the actual time distribution of airport employees arriving at leaving the airport were or found. CHAPTER 111. EMPLOYEE TRAVEL SURVEY In order to the travel habits of at the DFW investigate employees airport, a travel survey was conducted by Dunlay, et al. (Ref. 4). In forms for this survey, the written, self-executed, type of questionnaire were distributed to more than 13,000 employees. The rate of response of completed questionnaires was 24 percent. Presently there are 13,368 employees at the Dallas/Fort Worth Airport. Table 3.1 shows the division of these employees by employer category. The Survey Form The form consisted of short employee survey a introductory para graph followed by eleven questions (Fig. 3.1). The first question was to determine each employee's present home address, allowing the option of answering either by street address or by the nearest intersection. This option was designed to allow the response to be less personal and to encourage a response from persons who might be reluctant to give their address. The next two questions dealt with how an employee perceives the distance and travel time between his home and DFW, and also between his home and Dallas Love Field. The answers to these questions can be compared with the true distances and travel times (Ref. 11). Question number four asked the employee to indicate the type of vehicle he uses in his work trip. This was straightforward, and all reasonable alternatives were included in the check list. The next was whether the topic of interest, question five, employee worked at Love Field before DFW opened. If a change of residence occurred because of the shift to the DFW airport, this was noted in Part Bof old address also the question. The respondent’s was obtained in Part Cof the same question. It was hypothesized that the decision to move should be related to the actual travel time and distance between DFW and the respondent’s old home. The employee was also asked to indicate the mode of transportation he used in his work trips to Love Field. 5 TABLE 3.1. EMPLOYEES BY CATEGORY OF EMPLOYER EMPLOYER CATEGORY NO. OF EMPLOYEES Airlines 9,126 Air Cargo (1) 382 Air Mail Facility 350 Airport Marina Hotel 250 Allied Aviation Company 95 APCOA (Airport Parking Control) 135 Board DFW Airport 480 Federal Aviation Administration 135 Food Service 1,406 General Telephone Company 43 L.T.V. Airtrans 135 Maintenance (2) 284 Rent-A-Car Firms 268 Security (2) 120 Other 159 TOTAL 13,368 Source: Central Offices at DFW of the Employers and the DFW Airport Board. (1) Excluding Airlines with Airfreight (2) Excluding DFW Airport Board (Airport Police) 7 Form Survey Employee 3.1. Figure 30 >4 38*2 46 22 U49 i 53 57 *1 45 29 3337 17 18 48□50 51 54 46 J □□2021[ 36 *0 44 □m52□56 28 32 U 25 cur cm (TTT LLLi 58 47 ra123 m 1 19 31 3943 53 ?7 35 to shift your Regional of (Zip) (Zip) Worth because A.M. one) chant* check Dallas-Fort specify) *32,000 to (Please *32,000 plan lease A.M. P.M. A.M. P.M. A.M. F.M. Labor 9 food/alrllna/custodlan (Continued) the bus ( mv you Town) Town) *26,000 Ov.r of do oror or address? Taxi Public Other Saturday Other Service opening (City (City airport. street tha tha raaldaoca TODAY? *20,000 *26,000 3.1. No TODAY? of TODAY? at before previous alroort TODAY? work Thursday Friday Foreman one) placa Yaa Name) Field: etart airport 55-64 65 one) qcck *13,000 *20,000 Flail your WORK: the work yeu Ov.r Craftsman, Technician/Operator Maintenance Figure Leva your was (Strsat Love someone shift off the week check to LEAK at the r«.i. (please EfflCWtNT: Yaa changed No what Intersection) vehicle by work one) - arrive get leave off WO of Dallas taken carpool 35-4* (please IS: - own you your you you TRAVEL: Tuesday Wednesday check *5-5* a AIRPORT at you moved, Street ARRIVE days *13,000 did did work hav# my In airport? No.) vehicle droDDed will will YUUR the h»i« (puase INCCft *6,500 have of YOU time time time time CF 21 you new PREVIOUS Dll Airport? HUES*the you (Strsst (Nearest Type Driving tiding Beirut THAT What What What What check Sunday Mooday .ARE: AGE: Under 21-3* OCCUPATION: Professional Clerical Sslaa FAMILY Under *6,500 VQJR Tift FREQUENCY Please YOUR If YOUR YOUR YOU A.B. Ot C. A.B.C. D. 11. S. * »■». 10. two number intended The next questions, six and seven, were to provide a of the in of the sample employee’s '’normal” work day terms time when he began the shift, the number of hours worked, and the number of days per week that he worked. The sample size was assumed to be large effect enough to offset the of asking for starting and quitting times on one specific day. The survey form ended with some requests for personal data. These can be used to relate the to travel behavior of employees standard, identifiable demographic characteristics, similar to those gathered in the U. S. Census. The age group brackets were designed to encompass standard phases of the personal and family life cycle. The occupational breakdown the guidelines of census data, but was simplified followed somewhat for the convenience of the The income respondent. family survey brackets shown on the form are the same as those used in the previous survey at Love Field by Alan M. Vorhees, Inc. in 1969, but were adjusted upward for inflation using the increase in the region’s Consumer Price Index. Survey Method The distribution and collection of the forms employee survey proved to be a time-consuming task as seventy-one airport-related employers The vast had to be contacted. forms were distributed majority of survey through the mail. A letter of introduction was included which explained the purpose of the survey (Fig. 3.2). In addition, a set of detailed instructions was compiled for the employers, which suggested a particular distribution and collection procedure (Fig. 3.3). A few announcements of the study suitable were also included in the information for posting packet of sent to employers. The survey forms were distributed through employee supervisors. Distribution and collection instruc the tions for the supervisors were printed on the envelope which contained the forms (Fig. 3.4). Figure 3.2. Introductory Letter to Employers. Figure 3.3. Instructions to Employers. Figure 3.4. Instructions to Supervisors. Problems Encountered in Employee Surve From the results examined so far, it appears that the overall design of the survey form was good, and that usable data were obtained. There was little or no confusion on most of the asked. the questions However, wording of some questions could be improved, and suggestions for this are given below. Problems with the form itself involved wording, length, and the fact that the Airport Board had recently conducted a ot its own. survey Thus, the fact that some employees might have been irritated by the necessity to execute another survey form may have lowered the response rate. The initial confusion in the employee survey was due to delays in delivering the packages of forms to the employers by the postal service. In the of forms delivered until the some cases, packages were not day they were supposed to be filled out. This allowed no time for employers to their distribution effort. In adequately organize addition, delays in channels resulted some intra-airport communication in management personnel the forms late the receiving as as following Monday or Tuesday, May Since the instructions requested that employers 19 and 20. and supervisors "...distribute the enclosed survey forms to the employees under your supervision on Friday, May 16..." some employers who received their forms after May 16 assumed that it was too late to distribute them The project staff subsequently had to contact these employers and encourage them to distribute the forms to their employees. In the code of the address question one zip was requested as part This proved to be a valuable piece of information, as some respondents left out their city name but included their zip code. A small number of respondents misinterpreted question two as asking for a round trip distance. This could have been avoided by specifying distance. a one-way Also, a few respondents may have misinterpreted question 2B as asking for the distance between DFW and Love Field since they were filling out the form at DFW. It was possible to spot-check these errors by the locations of the two airports relative to their homes. Question four could be improved by asking for the vehicle taken "most often" or "usually," as several multiple responses were encoun tered. Another troublesome question was the one that requested employees to classify themselves by occupation (professional, clerical, sales, craftsman/foreman, technician/operation, maintenance, labor, ser other It deemed to check list for vice). was preferable give the respondent a this purpose, to avoid nebulous and illegible answers which would be difficult to that interpret by the project staff. However, it turns out the of such a list also be conducive to wording may misinterpretation by the respondent. In addition, a question of this type actually solicits the respondent's perceived self-classification. That this can produce problems recognized by incongruities responses has been the found between to to related this question vis-a-vis responses questions, e.g., a - "clerical" worker with income "$26,000 $32,000." The occupational breakdown used was selected in consultation with the North Central Texas Council of Governments which was doing a study of basic and non-basic industry in the Dallas/Fort Worth Region. With regard to questions six and seven, some employees with rotating shifts only unspecifically days and vary. stated that work shift time Others specified that days and work shift time vary and included the work of the Still others checked all days and shift times at the time survey. the days of the week. created two new Concerning question number 10, job categories were n because of employee responses: MRent-a-carand "Hotel employees." Also, the percent of employees checking "Other Labor" was relatively high. Sample Size A total of forms late forms have been 3,157 employee plus 84 returned, which constitutes a 24 of return of the 13,368 forms distri percent rate buted. Table 3.2 shows the number and percent of survey forms returned by type of employer. General Telephone Company, Airport Parking Control, and DFW Airport Board were the employer categories with the highest TABLE 3.2. EMPLOYEE SAMPLE BY TYPE OF EMPLOYER CATEGORY PERCENT EMPLOYER CATEGORY SAMPLE RETURNED Airlines 1,211 13.3 Air Cargo (1) 70 18.3 Air Mail Facility 200 57.1 Airport Marina Hotel 171 48.4 Allied Aviation Company 0 0.0 APCOA (Airport Parking Control) 87 64.4 DFW Airport Board 294 61.2 Federal Aviation Administration 57 42.2 Food Service 283 20.1 General Telephone Company 31 72.1 L.T.V. Airtrans 29 21.5 Maintenance 94 33.1 Rent-a-Car Firms 126 47.0 Security (2) 19 15.83 Other 26 16.3 Unidentified 594 4.4 TOTAL 3,241 24.2 Source: Central Offices at DFW of the Employers and the DFW Airport Board. (1) Excluding Airlines with Airfreight. (2) Excluding DFW Airport (Airport Police) Board rates of return (72.1%, 64.4%, and 61.2% respectively). On the other hand, Allied Aviation Company, the airlines , and security were the employer categories with the lowest percent rate of return (0%, 13.3% and 15.8% respectively). CHAPTER IV. ANALYSIS OF DFW EMPLOYEE DATA is divided into two sections. The first section This chapter major deals with the total sampled DFW employees and their residential location broken down by zone, city, type of vehicle used for work trip, occupation, income, age and sex. In the second section of the chapter, the same analysis and a comparison are made of the two subsets of employees at DFW, namely, those that used to work at Love Field airport before the and opening of DFW, those that did not. The study area considered in this analysis is divided into zones designated by the North Central Texas Council of Governments (NCTCOG), to which giving emphasis the so-called Intensive Study Area (ISA), covers primarily Tarrant and Dallas counties (Fig. 4.1). Later in this analysis, the ISA zones are grouped at the city level (Fig. 4.2). Total Sampled by DFW Employees DFW Employees by Zone. Figure 4.3 shows the distribution of residential location of DFW employees disaggregated by zones inside of the Table shows the the study area. A.l in Appendix A frequency and percent of the in each of the sample zone study area. There are two pertinent observations to be made. The first is the wide dispersion of small percentages of employees on the one hand, and the single concentration of 14.4 percent in five zones near the airport (zones 350, 368, 374, 375 380) and on the other. Note that the maximum percent in any zone is only 5. Therefore, the sample distribution by zone is considered to be too small and an aggregation of the zones into bigger areas is desirable. DFW Employee Distribution by City. One way to aggregate the zones is at the city level. This produces a clear idea of how the employees are distribtued in the study area. Table 4.1 A and Table 4.18 show the frequency and percent of the sample of employees for the cities inside and outside the intensive study area, respectively. Figure 4.4 shows graphically that the city of Dallas has the largest single portion of 17 18 Designations. Area Analysis Regional 4.1. Figure 19 Area. Study Intensive the Inside Cities 4.2. Figure 20 Employees DFW of Distribution Zonal 4.3. Figure TABLE 4.1A. DISTRIBUTION OF DFW EMPLOYEE’ RESIDENTIAL LOCATION BY CITIES INSIDE THE INTENSIVE STUDY AREA SAMPLE CITY PERCENT FREQUENCY Addison 7 0.22 Arlington 233 7.19 Azle 3 0.09 Balch 4 Springs 0.12 Bedford 93 2.87 Benbrook 3 0.09 Blue Mound 4 0.12 Carrolton 74 2.28 Cedar Hill 5 0.15 Colleyville 28 0.86 Coppell 8 0.25 Dallas 801 24.71 Dalworthington Gardens 1 0.03 De Soto 13 0.40 Cuncanville 13 0.40 Evenaan 3 0.09 Euless 215 6. 63 Farmers Branch 56 1.73 Fort Worth 257 7.93 Forest Hill 3 0.09 Garland 49 1.51 Grand Praire 88 2.72 Grapevine 93 2.87 Haltom City 20 0.62 Highland Park 2 0.06 Hurst 138 4.26 Hutchins 1 0.03 Irving 404 12.47 Keller 30 0.93 Kennedale 1 0.03 Lancaster 4 0.12 Mansfiled 3 0.09 Mesquite 25 0.77 North Richland Hills 59 1.82 Pantego 1 0.03 Richardson 33 1.02 0.59 River Oaks 2 0.06 Sachse 1 0.03 Richland Hills 19 Saginaw 2 0.06 Seagoville 1 0.03 0.46 Snithville 15 0.28 9 South Lake 0.56 University Park 18 0. 37 Watauga 12 0.09 White Settlement 3 0.03 1 Wilmer 88.18 TOTAL 2,858 TABLE 4.18. DISTRIBUTION OF EMPLOYEE RESIDENTIAL LOCATION BY CITIES OUTSIDE THE INTENSIVE STUDY AREA SAMPLE 7. OF CITY FREQUENCY TOTAL Allen 2 0.06 Alvord 1 0.03 Argyle 7 0.22 Aubrey l 0.C3 Blue Ridge 2 0.06 Bonham 1 0.03 Bowie 1 0.03 Boyd 6 0.19 Bridgeport 4 0.12 Celina 2 0.o6 Celeste 1 0.03 Cleburne 1 0.03 Clifton 1 0.03 Collinsville 1 0.03 Conroe 1 0.03 Decature 1, 0.03 Denton 31 0.96 Elmo 2 0.06 Ennis 2 0.06 Fairfield 1 0.03 Fannesville 1 0.03 Ferris 2 0.06 Flower Mound 2 0.06 Frisco 8 0.25 Gainsville 1 0.03 Granbury 1 0.03 Gordon 1 0.03 Greenville 1 0.03 Josbua 2 0.06 Justin 4 0.12 Highland Village 1 0.03 Kerns 1 0.03 Lake Dallas 6 0.19 Little Elm 1 0.03 Lewisville 113 3.49 Mabank '■ 3 0.09 McKinney 9 0.28 Midlothian 1 0.03 Nevada 1 0.03 Nocona 1 0.03 Paradise 1 0.03 Plano 26 0.80 Pilot Point 2 0.06 Ponder 2 0.06 Poolville 1 0.03 Quinlan 1 0.03 RedOak 2 0.06 Rhome 1 0.03 Roanoke 30 0.92 Rockwall 3 ‘0.09 San Marcos 1 0.03 Sanger 3 0.09 Sunset 1 0.03 Tioga 1 0.03 Valley View 2 0.06 Weatherford 3 0.09 Waxahachie 5 0.16 Wills Point X 0.03 Whitewright 1 0.03 Wylie 4 0.12 TOTAL 320 9.87 23 Area. Study Intensive the Inside Cities by Employees DFW of Distribution 4.4. Figure DFW employees with 24.7 percent. In comparision, Irving has 12.5 percent of the total employees sampled—half that of Dallas despite its smaller population. Of the cities outside the ISA, Lewisville, Denton, Roanoke and Plano are the ones with the highest percent of employee residences. Two percent of the employees sampled either did not give their address or it was not possible to locate the given address on the reference maps (Ref. 8). 7 and Although some addresses were not identifiable by zone, it was possible to indicate the location of those DFW employees for which only the city name was given by assigning them a dummy zone number (see Table 4.2). explains the presence dummy zone This of such numbers in Table A.l and later in Tables A. A. 2 and A. 3 of Appendix DFW the Employees by Type of Vehicle. "Driving my own vehicle," was that employees gave 84.6 percent they were answer of the time when asked about the type of vehicle taken to and from work. Figure 4.5 shows the Data distribution of DFW employees by type of vehicle. on employees who indicated they use more than one type of vehicle in their work trip are presented in Table 4.3, which shows only the five most frequently given combinations. DFW Employees by Occupation. Table 4.4 presents the percent of employees occupational category. account in each Professionals for 30.5 followed service airlines sales (12 percent) and other labor (11.5 percent). The last category, other labor, probably reflects the presence of a large variety of work types which could not be covered by the 10 categories named on the sur percent of the responses, by (15.1 percent), form. vey DFW Level of Income. The 4.6 shows Employees by histogram in Fig. the level of breakdown of employees by income. Although this question is 8 of the returned forms did quite personal, only percent survey not mention the family income. DFW The of 21 Employees by Age and Sex. range to 44 years accounts for the highest percent of employees (75 percent) with 49.3 percent TABLE 4.2. ZONE NUMBERS FOR THOSE EMPLOYEES WHO DID NOT GIVE A COMPLETE ADDRESS BUT DID GIVE THE CITY CITY ZONE Addison 729 Arlington 704 Bedford 714 Carrolton 708 Dallas 700 Denton 715 De Soto 737 Duncanville 713 Ennis 735 Euless 710 Farmers Branch 709 Fort Worth 701 Garland 706 Grand Prairie 703 Grapevine 712 Hurst 711 Irving 702 Keller 740 Lewisville 730 McKinney 734 Mesquite 707 Mesquite 732 North Dallas 728 Plano 733 Richardson 705 Sherman 736 West Side Fort Worth 731 26 Mode. Travel Work Employees DFW 4.5. Figure TOTAL OF EMPLOYEES 1.97 1.14 2.59 0.49 0.31 4.50 DFW DFW BY PERCENT USED TRIP. 643719 1610 COMBINATION WORK SAMPLE FREQUENCY THEIR 146 IN MODE EMPLOYEES Carpool by carpool 4.3. someone a a off in in by TABLE off riding Surtran dropped other riding ororor oror dropped car car car car car COMBINATION someone ‘ or Own Own Own Own Own TOTAL TYPE OF WORK PERCENT OF TOTAL DFW EMPLOYEES 30.5 12.0 5.6 2.2 3.5 7.2 11.5 5.8 15.1 1.1 0.9 1.0 3.5 100.00 BY EMPLOYEES PERCENT OF DFW SAMPLE FREQUENCY 990 389 180 72 113 233 374 188 491 37 29 32 113 3,241 TABLE 4.4. OCCUPATION Professional Clerical Sales Craftsman, Foreman Technician/Operator Maintenance Other Labor Service (Food) Service (Airline) Service (Custodian) Rent-A-Car Hotel Employee No Response TOTAL 29 Income. Family by Employees DFW 4.6. Fiqure between 21 and 34 years of age (see Table 4.5). The distribution of employees by sex turned out to be 63.3 percent males and 34.1 females. The remaining 2.6 percent did not answer the question (see Table 4.6). DFW Employees According to Previous Work Place Because Love Field in Dallas was the major air carrier airport before the opening of DFW, a significant percentage of former Love Field employees airport when shift of operations transferred to DFW the occurred 1974. In the survey, 57 the in January, percent of employees sampled formerly worked at Love Field. This section will compare DFW employees who previously worked at Love Field with those who did not. The tables will be broken down by both subsets: "Former Love Field Worker" and "Non-Love Field Worker." Each subset is divided into three columns: the the "Percent of Total DFW Employees," "Sampled Frequency;" which tabulates the sample frequency of each category label as a percentage of the total DFW employee sample of 3,241; and "Percent of DFW Employees Within Category," sample frequency of which tabulates the each category as a percentage of the total DFW employee sample in the same category. Distribution by Zone, Figures 4.7 and 4.8 and Table A. 2 of Appendix A, show the DFW employees by zone of residence broken down by whether they used to work at Love Field or not. It can be noted that those employees that used to work at Love Field are predominantly spread over the zones which correspond to the mid-cities area of the ISA and to Dallas County. On the other hand the DFW employees that did not work at Love Field are distributed most frequently over Tarrant County. Distribution by City. Table 4.7 A and Figs. 4.9 and 4.10 more clearly indicate the observations stated above. Cities like Carrolton, Dallas, and Irving, located in Dallas County and having relatively sig nificant percentages of DFW employees, exhibit higher percentages of former Love Field than current DFW employees who did not work employees at Love Field. On the other hand, cities like Arlington, Bedford, Hurst, and Fort Worth, located in Tarrant County and having a relatively high OF TOTAL EMPLOYEES PERCENT DFW 7.7 49.3 23.9 13.3 4.3 .2 1.3 100.0 AGE BY EMPLOYEES DFW SAMPLE FREQUENCY 251 1,599 773 432 138 7 41 3,241 4.5. TABLE CATEGORY Under 21 21-34 35-44 45-54 55-64 Over 65 No Response TOTAL SEX BY EMPLOYEES DFW 4.6. TABLE 63.3 34.1 PERCENT 2.6 SAMPLE FREQUENCY 2,052 1,105 84 Response CATEGORY Female No Male \ < •:-i Airport. 3» - r * IBm : :jx ; v:; - / / ?-.yv bv.r-/" 1 7^-■K xX'Vyi b'XX • / - !: A frWjxX • 1 gtpxrftxtL-( >r— Jry l„ / - ~ >X * F* 3 (~j-~~-f-j ;, *VV^y jxxxj~r/y~~C|frW - r • U-: • X • j• •tyXisSI kjyjyQyc rVS'K'*'^{Jm«"7? ' -' ' i \ Field Love at Work to Used Who Employees DFW of Distribution Zonal 5.03 i 234 < «£• *£ 4.7. <%<%<% C% <% o 23 4 EM3 mmi E22 EM Esa Figure I 34 Airport. Field Love at Work Not Did Who Employees DFW of Distribution Zonal 4.8. Figure TABLE 4.7A. DISTRIBUTION OF DFW EMPLOYEE RESIDENTIAL LOCATION BY CITIES INSIDE THE INTENSIVE STUDY AREA ACCORDING TO PREVIOUS WORK PLACE FIELD WORKER NON-LOVE PERCENT OF PERCENT OF DFW FORMER LOVE FIELD WORKER PERCENT OF PERCENT OF DFW cm SAMPLE SAMPLE TOTAL DFW EMPLOYEES WITH-TOTAL DFW EMPLOYEES FREQUENCY FREQUENCY EMPLOYEES IN CATEGORY EMPLOYEES WITHIN CATEGORY Addison 6 0.19 35.17 1 0.03 14.29 Arlington 71 2.19 30.47 158 4.36 67.31 Azle 3 0.09 100.00 Balch Springs 4 0.12 100.00 Bedford 43 1.33 1.48 46.24 48 51.61 33.33 2 Benbrook 1 0.03 0.06 66.67 Blue Mound 3 0.C9 0.03 75.00 1 25.00 62 1.91 83.73 10 0.31 13.51 Carroltoa Hill 2 0.06 40.00 2 0.06 40.00 Collewille 14 0.43 50.00 14 0.43 50.00 Coppell 4 0.12 50.00 3 0.09 37.50 Dallas 622 19.19 77.65 175 5.40 21.84 Dalworthington (Gardens) 1 0.03 100.00 De Soto 9 0.23 69.23 4 0.12 30.77 Duncanville 8 0.25 61.54 5 0.16 38.46 Cedar 1 0.03 33.33 2 0.06 66.67 Euless 93 2.87 43.26 113 3.49 52.56 Everman Branch 45 1.39 80.36 11 0.34 19.64 Fort Worth 53 1.64 20.62 197 6.08 76.65 Foresc Hill 1 0.03 33.33 Fanners 2 0.06 66.67 40 1.23 0.28 18.37 Garland 81.63 9 30 1.20 44.32 49 1.51 55.68 Grand Praire 50.54 45 1.39 48.39 47 1.45 Grapevine 5 0.16 25.00 14 0.43 70.00 Highland Park 1 0.03 50.00 1 0.03 50.00 Hurst 62 1.91 44.93 75 2.31 54.35 Hutchins 1 0.03 100.00 Irving 230 7.10 56.93 169 5. 2\ 41.83 Keller 17 0.52 56.67 13 0.40 Raltom City 43.33 Kennedale Lancaster 0.12 100.00 4 Mans filed 3 0.09 100.00 Mesquite 17 0.52 63.00 7 0.28 28.00 no. Richland Hills 15 0.46 25.42 42 1.30 71.19 Pantego 1 0.03 100.00 Richardson 24 0.74 72.72 9 0.28 27.27 47.37 Richland Hills 10 0.31 52.63 9 0.03 50.00 River Oaks 1 0.03 50.00 1 0.03 Sachse 1 0.03 100.00 Saginaw 1 0.03 50.00 1 0.03 50.00 Seagoville 1 0.03 50.00 Smithfield 5 0.16 33.33 9 0.28 60.00 0.16 55.55 South Lake 4 0.12 44.44 5 0.06 11.11 University Park 15 0.46 83.33 2 0.25 66.67 Watauga 4 0.12 33.33 8 0.09 100.00 Willmei' White Settlement 3 1 0.03 100.00 42.76 TOTAL 1,592 49.09 55.70 1,222 37.70 36 Field Love at work to used who Employees DFW of Distribution 4.9. Figure Area. Study Intensive the Inside Cities by Airport 37 At Work not Did Who Employees DFW of Distribution 4.10. Figure Area- Study Intensive the Inside Cities by Airport Field Love of DFW exhibit percentage employees, a higher percentage of DFW employees who did not work at Love Field than DFW employees who did. As can be seen in Table 4.1A, the City of Dallas has the highest sample frequency of DFW employees inside the ISA (801 DFW employees). Table that 77.7 4.7 A shows percent of DFW employees (622 employees) who live in Dallas indicated that, they used to work at Love Field Airport. This corresponds to 19.2 percent of the total employees surveyed at DFW to the total DFW airport. Applying similar procedures employees who live inside the ISA, it is found that 55.7 percent of the total DFW employees that live inside the ISA indicated they used to work at Love Field Airport, which corresponds to the 49.1 percent of the total DFW employees surveyed. With regard to ISA, city with cities outside the Lewisville is the the highest percent of DFW employees (see Table 4.IB). Table 4.78 shows that 65.5 the who live in Lewisville indicated percent of DFW employees they used to work at Love Field, and this corresponds to 2.3 percent of the total employees surveyed. Also it can be noted that most of the DFW live outside the ISA used to work at Love Field. That employees who is to say, although 68.4 percent of the DFW employees who live outside the ISA indicated they used to work at Love Field, this represents only the total DFW 6.8 percent of employees surveyed. Distribution by Type of Vehicle Figure 4.11 shows the distributions of both subsets of DFW employees by type of vehicle. It should be noted that current DFW who did not work at Love Field use the employees "carpool" mode more frequently than former Love Field employees. Table 4.8 shows the most frequent combinations of type of vehicle. "Own car or carpool" was the most frequent combination in both cases. Distribution By Type of Work, As seen in Table 4.9 which compares the "Percent of DFW Employees Within Category" for both subsets, Professional, Sales, Service (Airline), and Rent-a-Car, are the catein which the used work gories percentages of DFW employees who to at Love Field are significantly higher than the percentages of DFW employees that did not work at Love Field Airport. On the other hand Service (food), Service (custodian) and Hotel Employee are the categories in which DFW TABLE 4.78. DISTRIBUTION OF DFW EMPLOYEE RESIDENTIAL LOCATION BY CITIES OUTSIDE THE INTENSIVE STUDY AREA ACCORDING TO PREVIOUS WORK PLACE FORMER LOVE FIELD WORKER N0N-L0VE FIELD WORKER PERCENT 0? DFW PERCENT OF DFW CITY SAMPLE 7. OF TOTAL SAMPLE % OF TOTAL EMPLOYEES EMPLOYEES FREQUENCY DFW EMPLOYEES FREQUENCY DFW EMPLOYEES WITHIN CATEGORY: WITHIN CATEGORY Allen 2 0.06 100.00 Alvord 1 0.03 100.00 ArgyLe Aubrey 6 1 0.19 0.03 85.71 100.00 6 0.03 14.29 Blue Ridge 2 0.06 100.00 Bonham 1 0.03 100.00 Bowie 1 0.03 100.00 Hoyd 3 0.09 50.00 3 0.09 50.00 Bridgeport 2 0.06 50.00 2 0.06 50.00 Celina 2 0.06 100.00 Celeste 1 0.03 100.00 Cleburne 1 0.03 100.00 Clifton 1 0.03 100.00 Collinsville 1 0.03 100.00 Conroe 1 0.03 100.00 Decatur 1 0.03 100.00 Denton 24 0.74 77.42 7 0.22 22.58 Elmo 2 0.06 100.00 Ennis 2 0.06 100.00 Fairfield 1 0.03 100.00 Farmersville 1 0.03 100.00 Ferris 1 0.03 50.00 1 0.03 50.00 Flower Mound 1 0.03 50.00 1 0.03 50.00 Frisco 5 0.16 62.50 3 0.09 37.50 Gainsville 1 0.03 100.00 Granbury 1 0.03 100.00 Gordon 1 0.03 100.00 Greenville 1 0.03 100.00 Joshua 1 0.03 50.00 1 0.03 50.00 Justin 1 0.03 25.00 3 0.09 75.00 Highland Village 1 0.03 100.00 Kerns 1 0.03 100.00 Lake Dallas 4 0.12 66.67 1 0.03 16.67 Little Elm 1 0.03 100.00 Lewisville 74 0.23 65.49 36 1.11 31.85 Mabank 2 0.06 66.67 1 0.03 33.33 McKinney 7 0.22 77.77 2 0.06 22.22 Midlothian 1 0.03 100.00 Nevada 1 0.03 100.00 Nocona Paradise 1 0.03 100.00 Plano 18 0.55 69.23 8 0.25 30.77 Pilot Point 2 0.06 100.00 Ponder 1 0.03 50.00 ' 1 0.03 50.00 Poolville 1 0.03 100.00 Quinlan 1 0.03 100.00 Red Oak 2 0.06 100.00 Rhone 1 0.03 100.00 Roanoke 20 0.61 66.67 10 0.31 33.33 Rockwall 1 0.03 33.33 San Marcos 1 0.03 100.00 Sange 2 0.06 66.67 1 0.03 33.33 Sunset 1 0.03 100.00 Tioga 1 0.03 100.00 Valleyview 2 0.06 100.00 Weatherford 1 0.03 33.33 2 0.06 66.67 Waxahachie 4 0.12 80.00 1 0.03 20.00 Wills Point 1 0.03 100.00 Whitewright i 1 0.03 100.00 Wylie 0.12 100.00 i | TOTAL 219 6.76 68.44 i 94 2.90 20.39 — 40 Place. Work Previous to According Mode Travel Work Employees DFW 4.11. Figure DFW CATEGORY OF 42.19 27.03 31.58 56.25 60.00 39.73 PERCENT EMPLOYEES WITHIN WORKER TRIPS WORK FIELD OF DFW PERCENT EMPLOYEES 0,83 0.31 0.19 0.28 0.19 1.79 TOTAL THEIR -LOVE IN NON 27 10696 58 PLACE SAMPLE FREQUENCY EMPLOYEES WORK DFW DFW CATEGORY BY OF PREVIOUS 57.81 72.97 63.16 43.75 40.00 59.59 USED TO PERCENT EMPLOYEES WITHIN WORKER OF COMBINATIONS ACCORDING FIELD DFW .12 1.14 0.83 0.37 0.22 2.68 MODE LOVE PERCENT TOTAL EMPLOYEES 4.8. FORMER 37 27 1274 87 TABLE SAMPLE FREQUENCY orororor or off or off COMBINATION Vehicle Carpool Vehicle Surtran Vehicle Dropped Vehicle Other Vehicle Carpool Dropped Own Own Own Own Own TOTAL TO PREVIOUS WORK PLACE LOVE FIELD WORKER PERCENT OF TOTAL DFW EMPLOYEES PERCENT OF DFW EMPLOYEES WITHIN CATEGORY 10.24 33.50 5.58 46.53 1.60 38.89 0.74 33.33 2.06 59.29 3.70 51.50 6.75 58.56 3.51 60.64 3.27 21.59 0.89 78.38 0.33 37.93 0.89 90.62 1.67 47.79 41.28 41.28 ACCORDING NON SAMPLE FREQUENCY 332 181 52 24 67 120 219 114 106 29 11 29 54 1,338 EMPLOYEES BY OCCUPATION WORKER PERCENT OF DFW EMPLOYEES WITHIN CATEGORY 65.35 52.19 70.56 59.72 38.94 45.92 40.37 36.17 78.21 21.62 62.07 0 44.25 ' 57.08 OF DFW LOVE FIELD PERCENT OF TOTAL DFW EMPLOYEES 19.96 6.26 3.92 1.33 1.36 3.30 4.66 2.10 11.85 0.25 0.56 0 1.54 57.08 DISTRIBUTION FORMER SAMPLE FREQUENCY 647 203 127 43 44 107 151 68 384 8 18 0 50 1,850 4.9. TABLE OCCUPATION Professional Clerical Sales Craftsman Foreman Technician Operator Maintenance Other Labor Service (Food) Service(Airline) Service(Custodian) Rent-a-Car Hotel Employee No Response TOTAL employees that did not work at Love Field exhibit significantly higher percentages Love employees. than former Field It can be noted that those in the "professional" category who indicated that they formerly worked at Love Field constitute the higher "Percent of Total DFW Employees" (19.96%). Distribution by Level of Income. Figure 4,12 shows each DFW em ployee subset by level of income. As expectly, most of the DFW employees with high income levels previously worked at Love Field Airport. Also, it should be noted that the former Love Field employees have a signifi cantly higher percent in the $13,000 $20,000 income level range than - the DFW who did not work at Love Field. On the other employees hand, DFW employees who did not work at Love Field present a significantly level than DFW higher percent of the "under $6,000" income range employ- who did. ees Distribution by Age and Sex. Table 4.10 shows the distribution of the subsets of DFW employees by age. Comparing the two subsets with re- be that the gard to percent of t>;fw Employees Within Category”, it can seen category "Under 21” persents a higher percent of DFW employees in the "Non-Love Field Worker” subset than in the "Former Love Field Workers” Field category. In the remaining categories, the subset "Former Love Worker" shows higher percent than "Non-Love Field Worker." Table 4.11 shows the distribution by sex for both subsets. It can be noted that the difference of percent between males for both subsets is significantly greater than the difference of percent between females. This can be understood as an increase of job opportunities for women. As can be seen in all the above tables, most of the percentages of DFW within each do not to hundred The employees category sum one percent. explanation for this is that the question concerning whether or not the at Love Field not answered employee previously worked was by all employ ees . In conclusion, the analysis of data presented in this chapter allows the study of such topics as: 1. The impact of Dallas-Fort Worth Regional Airport in the distri butions of DFW employee residential location. DFW According to Previous Work Place. Figure 4,12. Employees by Income Level TABLE 4.10. DFW EMPLOYEES BY AGE ACCORDING TO PREVIOUS WORK PLACE FORMER LOVE FIELD WORKERS NON-LOVE FIELD WORKERS PERCENT SAMPLE SAMPLE AGE TOTAL DFW EMPT.OYEES TOTAL DFW EMPLOYEES FREQUENCY FREQUENCY PERCENT OF OF DFW PERCENT OF PERCENT OF DFW EMPLOYEES WITHIN CATEGORY CATEGORY EMPLOYEES WITHIN Under 21 29 0.89 11.55 214 6.60 85.26 - 21 34 863 26.63 53.97 715 22.06 44.72 - 35 44 528 16.29 68.30 234 7.22 30.27 - 45 54 311 9.60 71.99 117 3.60 27.08 - 55 64 98 3.02 71.01 39 1.20 28.26 Over 65 4 0.12 57.14 3 0.09 42.86 No Response 17 0.52 40.46 16 0.49 39.02 TOTAL 1,850 57.08 57.08 1,338 41.28 41.28 TABLE 4.11. DFW EMPLOYEES BY SEX ACCORDING TO PREVIOUS WORK PLACE FORMER LOVE FIELD WORKERS NON-LOVF FIELD WORKERS PERCENT OF PERCENT OF DFW PERCENT OF PERCENT OF DFW SAMPLE SAMPLE SEX TOTAL DFW EMPLOYEES TOTAL DFW EMPLOYEES FREQUENCY EMPLOYEES WITHIN CATEGORY FREQUENCY EMPLOYEES WITHIN CATEGORY Male 1,237 38.17 60.28 790 24.38 38.50 Female 570 17.59 51.58 518 15.98 46.88 No Response 43 1.33 51.19 30 0.92 35.71 TOTAL 1,850 57.08 57.08 1,338 41.28 41.28 2. The distribution of DFW employees by type of vehicle, reflecting necessity of considering the DFW employee vehicles as the a significant part of the total volume of vehicles at the air port access highways. 3. The common and different characteristics of DFW employees who formerly worked at Love Field Airport in comparison with those employees who did not. CHAPTER V. ARRIVAL AND DEPARTURE DISTRIBUTIONS OF DFW EMPLOYEES The DFW taken a is of the Airport, as whole, one largest employers in the Dallas/Fort Worth area and as such is a major traffic generator from the standpoint of employee vehicles alone. In addition, the arri vals and departures of employees adds to the traffic volumes generated normal considered by airline activity. This must be both in modeling airport access volumes and in the subsequent design of airport access facilities. Therefore the distribution of employees' arrival and departure times at the airport relative to their work shift times is of critical interest in this research. The purpose of this chapter is to describe the conceptual basis for the distribution of DFW employees’ arrival and departure times modeling at the airport relative to the work shift starting and ending times. The term "time difference" will be applied to the difference between the starting work shift time and the time that DFW employees arrive, or the difference between the time that DFW leave the employees airport and their ending work shift time. The term "time-difference data distribu tion" will be applied to the statistical distribution of the above time differences. is divided into sections. The first section deals two This chapter with the selection of the periods of day for which the time-difference data distributions are going to be specified. The second section deals tests of selected theoretical distributions against with goodness-of-fit the observed time difference data distributions. Determination of the Periods of Day for Analysis Figures 5.1 and 5.2 show histograms of the percentages of DFW employees versus starting work ending work shift times, shift times and respectively, during a normal work day. In the case of percent of DFW employees versus starting work shift time, it can be Fig. noted from 5.1 that there limits are five distinguishable periods whose were tentatively 10 for the selected as: 0 through 4 for the first period, 4 through second period, 10 through 13 for the third period, 13 through 20 for the 47 48 Employees DFW of Times Starting Shift Work of Distribution 5.1. Figure 49 Employees. DFW of Times Ending Shift Work of Distribution b.2. Figure 20 24 for the With the of fourth period, and through fifth period. help "Statistical Package for the Social Sciences" (Ref. 10) a range of alternative limits around the above tentative ones were tested, and fixed when for each period the percent of DFW employees distributed by five- change significantly. objective was minute interval tended to The to distinguish time periods during which the arrival or departure patterns of employees remained approximately constant. A followed for the similar procedure was ending work shift periods. The definitive limits of the periods based on this process are presented in Table 5.1. this In way, knowing the periods during the day, the next step was to determine which theoretical distribution best the time dif explains ference data distribution for each of the above periods. Determination of the Theoretical Distributions With regard to selecting a test to use for goodness-of-fit analysis, Refs. 1,2, 5, and 13 describe the Kolmogorov-Smirnov Test (K-S Test) as a quite sensitive test for continuous distributions with certain advan the tages over Chi-square test. Bradley (Ref. 1) for example, presents a discussion of the K-S test vis-a-vis the Chi-square. From that dis cussion the following conclusions are taken: 1. modest that The K-S test requires only the relatively assumption sampling is random and that the sampled population is continuous Whereas other conditions that Chi-square assumed among things, can be fulfilled only when sample size approaches infinity. The 2. Chi-square test is only an approximate test, at all sample and is hard to where- sizes, the degree of approximation assess, as the K-S test is exact at small sample sizes and its degree of approximation is more readily assessable. 3. The K-S test uses every observation repre ungrouped data, i.e., sents a point at which "goodness-of-fit is examined; Chi-square loses this information (if the hypothesized distribution is continuous) by requiring that data be grouped into cells. Therefore, the K-S test was chosen the test to as be applied in this study TABLE 5.1. LIMITS OF PERIODS OF STARTING AND ENDING WORK SHIFTS TIME PERIOD STARTING WORKSHIFT ENDING WORKSHIFT 0 06 Second through 9 6 through First through 5 through 5 10 Third 9 through 13 10 through 14 Fourth 13 through 21 14 through 19 Fifth 21 24 19 through through 24 The K-S test is based on the simple measurement of the maximum vertical difference between two cumulative distribution functions; in this case, probability the cumulative time difference data distribution and selected theoretical cumulative probability distributions. This difference, once determined, compared is then with the values of K-S statistics for the appropriate sample size, and level of significance. A significance level of 0.05 is assumed in this study. Figure 5.3 shows an example of a typical distribution of the time difference data. From a simple visual inspection of the time difference data distribution for each period, the following observations are made: 1. The theoretical distributions most likely to fit the time difference distributions are: a) Normal distribution b) Lognormal distribution distribution d) Gamma distribution e) Erlang c) Exponential (negative) distribution asked what time they arrived at. left 2. When DFW employees were or the airport there was a tendency to express their answer to the nearest five minutes. Therefore, the intervals selected, were five minutes in length centered around even five-minute epochs, i.e., the actual boundaries were defined according to the formula 5 where is (N + 0.5), N a positive integer (the first interval has the bound These interval integer lower of 0.0). boundaries also ensure that individual integer responses fall within an interval and not on a border between two intervals. Figure 5.4 is a flow chart which was developed to show the sequence of the steps followed in finding the theoretical distribution that best fits the time difference data distribution. First of all, the data were divided randomly into two parts. This division was made because of the K-S that the the theoretical distribution test requirement parameters of should not be obtained from the same sample that is tested (Ref. 5). From one subset of the data the mean and variance are computed sample and used to estimate the parameters of each theoretical distribution. 53 Data. Time-Difference Of Distribution Typical 5.3. FIGURE | (0.05) SIGNIFICANCE r 1 OF LEVEL . 1 SPECIFY TABLE VALUE VERTICAL STATISTICS GREATER K-S VALUE HYPOTHESIS riSTICS 'YES rr r 15 I1 STATISTICS STA1 VERSUS REJECT MINIMUM-MAXIMUM STATISTICS Distribution X-S K-S USE EQUAL? NOT DO OBTAIN K-S IS OR SIZE COMPARE DIFFERENCES VALUE r SAMPLE GET »” Difference pp PROBABILITY CUMULATIVE WITH DIFFERENCES -Time DISTRIBUTION DATA HYPOTHESIS f rf CUMULATIVE THEORETICAL DISTRIBUTION TIME-DIFFERENCE VERTICAL ■ Fitting DIFFERENCE 1 EACH MAXIMUM REJECT CONSTRICT TIME COMPARE PROBABILITY CUMULATIVE DISTRIBUTION for GET DIFFERENCE SAN FITS | fewW f MAXIMUM DATA DIVIDE INPUT \ 1 DISTRIBUTION MINIMUM RANDOMLY Procedure THEORETICAL CUMULATIVE 4 OF THEORETICAL DISTRIBUTION -- VARIANCE5.4. AND ETICAL DISTRIBUTION MEAN 1 THEOR HYPOTHESIS: f PARAMETERS ’ Figure TIME-DIFFERENCE COMPUTE NULL COMPUTE DISTRIBUTION CONSTRUCT PROBABILITY From the other of the the observed part sample cumulative probability time difference data distribution is constructed. Then, each cumulative theoretical distribution is compared with the observed cumulative time difference data distribution, and the maximum vertical differences are obtained. The minimum of the maximum vertical differences is compared with the K-S test statistics (Ref. 6). If the computed value is less than the 0.05 K-S statistic, it can be said that there is no reason to reject hypothesis corresponding the that the theoretical distribution fits the time difference data distribution at the specified significance level of 0.05. and show the of Tables 5.2 5.3 periods day that particular theoretical distributions fit the time difference data distributions along with the functions and estimated Note that corresponding density parameters. the theoretical distribution that fits most often is the Gamma, while the remaining satisfactory theoretical are particular cases distributions of Gamma distribution. This does not discard the possibility that other distributions might also fit the time difference data distribution, but only presented nearly that Gamma the minimum-maximum difference in all cases. Figures 5.5 and 5.6 show a sample graph which compare the actual observed distribution and the theoretical distribution for DFW employees originating leaving airport, respectively. at and the OF 0.1 0.05 0.05 0.05 0.05 LEVEL SIGNIFICANCE SHIFTS. WORK K-S VALUE .189 .049 .105 .069 .105 THEIR 0.52 1.15 0.065 1.13 0.053 1.44 0.067 1.67 0.042 PARA-METERS == ====== = STARTING ak akakak a I EMPLOYEES )/(k-1) DFW ak DISTRIBUTIONS FUNCTION exp" -ax OF (k_1 aexp PERIODS DENSITY } (a N k x Same Same Same = = OF THEORETICAL f(x) CHARACTERISTICS f(x) _, Exponential NAME Gamma Gamma Gamma Gamma Negative 5.2. SAMPLE SIZE 41 716 166 379 144 TABLE 59 1321 24 OF (HRS) PERIOD DAY through through through through through 059 13 21 OF LEVEL 0.05 0.10 0.10 0.05 0.05 SIGNIFICANCE SHIFTS. K-S VALUES .131 .106 .138 .052 .074 WORK THEIR 0.078 2.0 0.081 1.79 0.036 1.46 0.057 0.065 1.64 ==== == = == PARA-METERS akak ak ak a ENDING 1 EMPLOYEES )/()» )» ak DFW FUNCTION ak -otx OF DISTRIBUTIONS _ 1^exp" aexp k Same Same xx^ = PERIODS DENSITY "k n (a . k 1 f)x) OF = THEORETICAL f(x)=(a f(x) NAME CHARACTERISTICS Up) Negative ExponentialErlang (Round Gamma Gamma Gamma 107 131 78 686 341 5.3. SAMPLE SIZE 6 10 14 1921 TABLE OF (HRS.) PERIOD through through through through through DAY 06 10 1419 Figure 5.5. Sample Distribution for DFW Employees Arriving at The DFW Airport. Figure 5.6. Sample Distribution for DFW Employees Leaving the DFW Airport. CHAPTER VI. MODEL DEVELOPMENT ofis to The purpose this chapter to present the methodology used model which be used the develop a can to estimate employee vehicular volumes arriving at or leaving the airport. It is divided into three sections. The first section deals with the fundamental and theoretical concepts used in developing the model. The second section explains the flow chart followed in the the computer program, required input data, and the nature of the The third section deals with the cali output. bration and testing of the model. Fundamental and Theoretical Concepts it found In Chapter V, was for particular periods of time during the day, the way by which DFW employees arrive at or leave the airport can be a distinct theoretical distribu satisfactorily approximated by tion (one distribution for arrival and one distribution for leaving). That is to say, for all the DFW employees whose work shift times in a certain period, the way that they arrive at or leave the airport will be distributed approximately the same. Figures 6.1 and 6.2 show examples of how DFW employees arrive at and leave the airport, respectively. Note that the area under the curves for a given time slice (t, t + At) represents the probability that DFW employees, whose work shift times are and arrive at or leave the airport, respectively, during that time slice. The expected number of employees arriving at or leaving the airport for a time slice (t, t+ At) is given by the product of the above probabilities and the total number of employees corresponding to the work shift times example, or For in Fig. 6.1 denote by P(t, t + At) the probability that an employee corn ing airport to begin his work shift at airport to the arrives at the in (t, t + At). Then, the in expected number of arriving (t,t+ )is: E {N(t, t + At)} = N {P(t, t + At)} (1) where E{N(t, t + At)} is the expected number of employees with work shift time t 1 arriving in the (t, t + At) time slice, and N is the total 59 Figure 6.1. Employee Vehicles Arrival Patterns (Single Work Shift Time). 6.2. Patterns (Single Work Shift Time). Figure Employee Vehicles Departure of . volume (number) employees with work shift time t not sufficient to calculate precisely the Although, data are variance of N(t, t 4-At), it is possible to get a rough estimate of this the variance under following assumptions: of 1. Each the N DFW employees starting his work shift at has the same probability P(t, t + At) of falling into interval (t, t 4-At). 2. Each employee essentially constitutes a Bernoulli trial with the same probability, i»e., the above probability applies inde all N of pendently and identically to employees a particular work shift. These assumptions mean that the number of DFW employees arriving at of each slice or leaving (independently other) the airport at time has binomial (t, t 4-At) a distribution with mean N (P(t, t + At)} and + varianceN {P(t, t At)} {1 P(t, t 4-At)}. So far, the following conclusions be made: can 1. For DFW employees arriving at the DFW airport and whose work shift starting of employees arriving at time is the number time interval (t, t + At) 'has a binomial distribution with mean N {P(t, t + At)} and variance - N {P(t, t + At)} {1 P(t, t + At)} Where N is the total of DFW employees whose work shift starting time is and P(t, t + At) is the probability that employees arrive in time slice (t, t + At). 2. For DFW employees leaving DFW airport, similar assumptions are made. The number of DFW employees with work shift ending time is leaving during the time interval of (t, t + At) has a binomial distribution with mean M {Q(t, t + At)} and variance - M {Q(t, t + At)} {1 Q(t, t + At)} where M is the total of DFW employees whose work shift ending time - is and Q(t, t + At) is the probability that employees leave in time slice (t, t + At). Figure 6.3 and 6.4 show multiple work shift time curves (start ing ending). Considering work shift starting time, for example, and note that many curves overlap in time slice (t, t-At). Therefore, the total volume the in expected of employees arriving at airport a particular time slice (t, t + At) is the sum of the individual volumes of in that time each employees slice from starting work shift. Assuming that the number of time slice for each start- employees arriving in the ing shift is stochastically independent employees work of the number of in that time slice for other also be any starting work shift, it can concluded that the variance of total volume of employees with different work shift starting time arriving in time slice (t, t + At) is the sum of each individual variance for that time slice since the variance of the sum of independent random variables is simply the sum of the individual variances. Similar considerations and conclusions apply to work shift volumes the the ends ending times, and of employees leaving airport at of work shifts. Denoting by the number of employees arriving for the start of work shift i, i = 1,2, n. Then the total expected number of ... in t+is employees arriving at the airport (t, At) n E{N(t,t+At)}=lN. {P(t,t+At)} (2) total° 3 i1 i=l where t + At) is the area under the employee arrival distribution for work shift i in time slice (t, t + At) as shown in Fig. 6.3, By the above assumption, the variance of + At) is n Var {N ,(t, t + At)}= YN. {P.(t, t + At)} {l -P (t, t + At)} (3) total ~ii l. I=l the of the total number of Similarly, mean and variance employees leaving airport a particular time slice from various ending work the in shifts are Figure 6.3. Employee Vehicles Arrival Patterns (Overlapping of Curves) Figure 6.4. Employee Vehicles Departure Patterns (Overlapping of Curves). m E = {M(t1+At)* IM t+At)} (4) total’ i 1 - j=l and m Var M (t t+At)}=lM.{Q.(t,t+At)}(l Q.(t,t+At)}(5) total » J 2 J j=l Where M is the number of employees leaving at the end of work shift j - and + Qj(t> t At) is the probability that work shift j employees leave the airport in the time interval (t, t 4-At), i.e., the area under the employees departure curve for work shift j in time slice (t, t + At) is shown in Fig. 6.4. The above equations (2), (3), (4), and (5), are all that one needs to compute the mean and variance of the total number of employees arrivand ing at leaving the airport in any arbitrary time slice (t, t 4-At). Procedures for the actual computation of employee volumes are described below. Computation of Employees Vehicular Volumes Figure 6.5 shows the flow chart followed to determine the volumes of DFW employees vehicles entering or leaving the airport. The procedure basically is: 1. Selection is made of the of time to be first period analyzed and the theoretical distributions to be considered for that period. 2. The probability distribution is obtained for each interval of time specified (see input data). 3. From all the work shift time only the starting work shift times or the ending work shift times are selected, and from them only those that fall into the period selected. 4. The vehicular volume and the variance at each time interval are calculated and those vehicular volumes and variances with common time interval are summed. 65 Computation. Volume Vehicle Employee of Chart Flow 6.5. Figure A is considered and 1 5. new period steps through 4 are repeated. 6. Once all the periods are considered and the successive computa tions made, the standard deviation is converted from the total variance for each time interval. 7. For a given time interval, one standard deviation is added and subtracted to the expected value. In this way, one would be able to calculate the percent of the time that observations fall in the interval "Expected value plus and minus one standard deviation." A computer program has been devised following the above flow chart list of and a the program is presented in Appendix B. An explanation of how to use it follows. Input Data data To explain the input to the computer program, three types of input cards will be discussed (see Fig. 6.6). The first type,called the data control card,specifies the number of periods in columns 7-9, the number of work shift times punched in columns 10-12, and the length of time interval columns punched in 13-14. The second card is called work shift data each of which input card, contains informaton about a particular work shift time. Column 7 is used to specify whether the work shift is starting (by punching the number the number the "l") or ending (by punching "2"), columns 8-11 time at which the work shift starts or ends; columns 8-9, the hour; and in 10-11, the minutes. A third value, the number of employees using their own vehicles, is to be punched in columns 12-16. Note that this is the number of employees using their own vehicle, not the total employees starting or ending their work shift. The reasons for this are as follows: 1. The fact was encountered that the percentage of employees using other than their own vehicles was very small (See Chapter lV). 2. The their is percentage of DFW employees using own vehicles significantly high (See Chapter IV). 67 Structure. Data Input 6.6. Figure estimate of the number of and leaving the airport in a given interval of time is obtained as the corresponding number of employees who use their own vehicles . Based on the above this is felt to be reasonable Thus, an employee vehicles entering reasons, a assumption. The third type of input data cards are called period data cards. Each period data card contains: (1) in columns 7-10, the time at which the period begins (hour in columns 7-8 and minutes in columns 9-10); (2) in columns 11-14 the time at which the period ends (hour in columns 11-12 and minutes in columns 13-14); (3) in columns 15-24 the mean and (4) in columns 25-34 the standard deviation of the time before and after the shift that employees arrive or leave in that period, respectively. Four decimals and the decimal point are allowed; (6) in column 35 a number is to be punched to indicate the type of distribution to be considered. This number code indicates the distri following respective butions. 1 Normal distribution 2 Log normal distribution 3 Negative exponential 4 Gamma 5 Erlang down rounded distribution 6 Erlang rounded up distribution In column 36, it is then indicated whether this distribution, with the mean, the variance, and the period specified, is to be used for employees if arriving at or leaving, the airport. If it is arriving, punch "1"; it is leaving, punch "2", and if it is for both arriving and leaving, punch "3". Figure 6.6 shows the entire input data structure. Output The computer output is shown in Figs. 6.7 through 6.9. In Fig. 6.7 the first part of the output is illustrated. The information about work shifts, is shown as a printout of the original "Work Shift Data Card". In Fig. 6.S a printout of the period data card is shown. These printouts allow the user to check the data for keypunch errors and data IF TS •0*K 3H E**»iofee* ITAHTIM5 fWDI*C TIKI 1 82 SI* 5 It ill 31 !JI 13 sss t SS* 33 S«* t i« 6 SS* »• 555 3# 386 1i 36 »• •2 MS t til »]• 150 Hi It 690 T• 20 71* 26 m 13 71* 3*1 7SS 7?» 6 53 7*5 «• 1022 SIS 30 *?» 20 • 98S3« It s • 180 *1* STS 20 STS 16 I* • 59 ISIS 10 1*1* 125 1»«S It 89 II • It Ills IIS* 33 ll«S 10 u « til IS S 13 ISt* 13 ISIS 16 60 IS1* 79 IS * !• 111* 66 ms 19 111* 11SS •6 6 I* • 11*5 262 l«IS 23 1*2* 26 1*1* 191 Figure 6.7. Work Shift Information. P E R I 0 0 S BORDERS LONER UPPER MEAN VARIANCE DISTRIBUTION WAY 0 0 5 0 22,0732 a 23,9695 GAMMA ARRIVING 5 0 9 0 17.a120 269.J5P3 gamma ARRIVING 9 0 13 0 27,3976 521,6399 GAMMA ARRIVING 13 0 21 0 26,7309 a28,6152 GAMMA ARRIVING 21 0 2a 0 23,5«17 309.9913 neg. exponential ARRIVING Figure 6.8. Periods Information. employee vehicle VOLUME An0I V N0 leAVIN0 I minimum MEIN MAXIMUM MINIMUM MEAN MAXIMUM Tine VOLUME VOLUME VOLUME VOLUMEINTERVAL VOLUME VOLUME 0 0 0 0 08 015 09 0 0 0 0 030 09 0 00 Po5 0 0 0 00 010 0 0 99 080 115 00 0 0 9 00 130 0 00 0 2a 8 0 1*5 0 00 0 0 00 0 0 C0 215 0 00 9 2*5 0 90 230 0 0 00 0 30 0 0 0 00 0 990090 315 00 • 0 330 *t 2 009 3* U w £ O' ifs.nrNfM^nONN^'-'H^nr^oDvDn 00^^ < in a u. 0^(sim-.T^vDr^c^0^r^inr^oOO'0-<(Nr-\O W O o *““* r-i *-< CS1 — < t: VC -4 »—< U U2 2 r^r^r^r^r^r^ooc»w»wwwwwww O •a-ininmminiAi^»nir»m\ONDvDvO\0'D'£>vO'0>o-f^r^r^ K nLriNfNjC'^LnNnMv£)nvDvD^^o,'^ffi ir'f^vDOf\Nvc>^0'na'vDrri^^(Oa' mOO o w2 w H r-< *-< CsJ Or-< O (CONTINUED) H 2 •J u: r 2 Nr>)^n^cosDNmO'£>c-i(”'ir')r->mr-ir~)r~>r->(->('‘>c->r-!<'->r-)nr-ic'-)C1<->r-iC>c-)r->r->r->r')(->c-)r-ic-ir'><'">(«-ir-) TABLE W 9>«iruoO'4>D»ri^nnNtMnvonnNnoninO'Nj-ii».in — oiNinrvNruntOO-JiCN o lOOO s OOO—lOOOOO—i—'OOOOOOOOOOOOrsl^O'-iOOOOOOOOOOOO'-'OOOOO— H >* o W 2 U3 iO w Bi U< to W 2 SSSSS?;SS33555§555KS?;R§SSSSSSSKC^RSP:SR§SSSSSS5SSg O MCNJCMCMCMrMr\jC'JCMCMrM K CMCM(NJCMCMCMr>jrMCMCMCMfNiCMCMC\iCMCMCMC'JCMCMrMCMrMCM O MX D CNo CN o> ’■" *“* X O' rnCN 00 roo CO 00 roNOr-vONOCOr-4 -* — rN NO fc r-< -< CN O Oao O CN OooOooCooOoO ooa oc C r-< CN cooo CN OO ooo OO o o Oo oCo o o o OC oo OO ooOO o©O oocoooocooooOocoo oc H H DFW < o w WORKER c* o in CN <5-CN00 in ** *■* £o r—iCN NO CN inNO in O'conOco cn-X co CN CO a: b» u 2: m CNco innO cccn o CN lonCr-^00Ono inSOCC nOn-o CO CO o fN rosDvONOsD O'O'O' O'O'O' CO o r-r^. n.00oc00 CCococ OS O'O'oo ON CO COOJ COONONCO ONnO -O O' ON COON CO CO COroro COONro ON COO' COCO COOJ CO COO' co CONO OJ 0 OO O CO O O_* O0OO O0OO00OOo > OP NO O' Pro NO O'cn nO ON cn ro cn v-O OO0 roO_Oro O0OO0 0 OOOOOOOO 0 OOOOOOOOOOO0OO0O0OO00 OOo 0OOO0OOOO0OOOOO0 OO0O003 OO ro H h; 0 71 z r* d d XO ro iO O CO roro tOro O Coro COro NO CDrop 03 ro p ro roNO ro in 73 > CO ro NO ON O 'O O NOO'00 COnO0 0 P0o Z 00NOO co 'O NOO CO0 COcnO' ro ro pp cnON ro ro N) cn 00CDNOO ro COCo NO NO OOOO roro rorocoCOCOCONOCO P 00NO NO NO Op coP PP cn cn cn cncnOnon cn onO'O'O' ONO' ON ON ONp cn 'O' cn Cncn cn cn cn cn cn Cn Cncn ro O' CJNON COONNOCO COO'ONCONOCO COO'COCo v^J CO ~J ONO'ONCOOJcoPCO r-0 O0OO O CO P_*roOOO0OO0O CS00 0O00 1r roO' ON roroOO'ro NO00NO COO'ro 0OOo co 0O_ 4> > O'OOO p ro CD ro0O' “Tl n OOO O0O O0OO00O0O000OOo 3 OOOO0 OroOO0O 00O0O0OOOOOO0OO *< n (CONTINUED) H _ C=1 Z r* 71 da cnO' O0 ro P roro fOcn j: O O roro O' ro ONcn O'00 ropro m p 'Oro P > ro 73 cn 2. A. 71 Co01 00 cnO' 00O cn ON O 0NO NO roP 00NO0 1—ro cn CD CO 'O-o O roOO CONOCOp O' O'O' -O 0000000000000<0'O0NOOO0 'O 0 O CO PP P PP■OP COOJ CO CO CO CO Co CO COP ■0PPPPPp PCO COsO CO COCO COco COco Coco CO CO TABLE P NO vO co0 ro 0COON CO oO (-• no on NO COON NO0 COro p cn CO ■-O 00NO COcncn COcn CO ro CO CO ro ro cnCJO' COpO'00PO'ro0O0OOO ro CO0cjP0 > O OO0OOro NO 00pO Op P ro O0 O' 0 oO 3 OO0 O0 rOOO00OO0 OOOOOOOOO0O0OOO0OO0O0 00 OOO0 0 OO0 “* H >-< a z 71 ►CO r-» >-• >— »-* *-•OP •— PO00 >-* ro OJ ON NO> 00r— 0 N3 CO -O v-O -0 NOon co NOO' Co COCO 0 O N-*—000 CO p CO COro ro pro ro ro ro 71 -O > C/1 73 O co 0ro p cn 'vJ co ON cn NOO NO cnNO ro p CO CnCn -0 -o-0 CO CO CO CO NO<0 P P PoiCn CnC/l-n 0 CO CO CO CO00CD p cncn C"»P ONO' ON ONON cn OJ ro rororo roro rororo ro COCO CO NO CO COco CO CO COco CO COco CO CM roro ro rororo rorororo (CONTINUED) 2. A. TABLE OF 7. SAMPLE OF 7. SAMPLE OF 7. SAMPLE TOTAT. FREQUENCY ZONE TOTAL FREQUENCY ZONE TOTAL FREQUENCY ZONE 0.03 0.06 0.03 0.06 0.06 0.03 1 12122 715 717 718 719 722 733 0.03 0.06 0.03 0.16 0.03 0.03 12 51l 1 704 705 706 709 710 712 0.03 0.03 0.16 0.06 0.12 0.06 11 52A2 669 677 700 701 702 703 O''OoP' OJOJ 03orroOJOrOrvOO'ro0JroOJOJO'O'VOO'OJOJOrOJro03O'oo50O'vO00NJOJ OJonO NJ O' VO PO vON) rO OJ X- H-»— 00h—OO'O >-JonO oOO r—*rooooo roorooooooOoooo ro03ro00 OfOfOOO > OOr X.' ro OOoOO O OOooOooOOOooooOOooo OOOOOoo oOOOOOoOOo00o o o T01 t*i r* 00vO 03OJvO NJ >— OJ (ONJOJro ■o X> ■43 •o -O>-* ro O'P* OJ OJ -oOJP-Or rO03'OOJroro On■o FREQUENCY ro CO NJ ro p- ZONE BY r— co O OJonOroro Or•o00vOo ro P*onO' ra roOJOnO'SINjOJP>onvQrooj03O' COO roOJP‘03O' VO 4> OJ 2 P*P*p'O'OrO'O'Or -'O'O ooooCo00030300CO0303O roOJ OJOJ4> P*4> oU3 03OnOn o OJ ro njroro roro roro ro roro roro OJOJ OJOJOJOJOJOJ OJOJoj OJ OJoj ro roronjro ro ro ro roro OJ ojOJO ro oo OJ O' OJ OjojO' OOJ vOOJVOVOOJ O'ro OJO'O'roO'OJoO'ro CO00roOrvOONOJojro C O' OJoo vOor OJ ro OJ OJ OJ O oo o oo ooooooo oooOOOOo»—OOo OOO ooo ro OO'oojO > oo EMPLOYEES N OH o o OooooooooooOOoOOOOOoOOOOOoOOOOoooOOOo OOOOOOOoo a Nf >-? 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A. *■< b2 C*3 oovn OJOJ fO on v0ro OJOJro 03 ro OJ TABLE o > $3 NJ 01 ?3 "*1 r-o O' OJOn 03 OO ro "O COoO >O'O'O' 00 O On5355 5657 6061O'6566 72737479CO 82co038990vOvOvO969766 102o106 1151205 123125126127129130OJ - ZONE S'0ON*0 Co CO NO u>nO CO COLOO' CO CO r* COCDCO ON CO COmDON CO CD CO CoCOCOCOCO CO > OOO IN)0roOOOO0016,O0OOOOOo©oooOO©oooooo ©o g OOO0 0OOOOO00OO0OOOOOoooOoO©ooOoOoOOoo H *< cn z r* cn g 3 O CO cn -CO > ►— ro cn rocoS' ON'O00NO cn0 00 ro00 o> On S' !S>0022 O Z 000300NONONONO oroCo0-300o 501 503 507 508 ** 513 NO 532 533 £ S' 596 o 709 522 s^ J N CO vOCO 4r S' ONON££ NO00£NONOONCOCOCONNOCOrocoCNroO'ON COCCOCOCOcoCO CO'Orococo ro oooo 3o Ooo ►— ro00O00 O0000ooO o O .16 '■n > cn O Oo ooOooooOoOo3 OOO00OOO0©O00OO00000ooOo o >< cn Z (CONTINUED) ,o H 2 n Crt Cn co > *n 3. A. •o t— COo h o> S'o~CO Cn S'cnON ro CT 0 foCOS' ON00NO ro ro S' b0 b i 12) s^ S'S'S'S'S'S' S' S' S'S' S' S'S'S' S' S' S'0 S'S' S' S' S' S' S' S'S' S' S' S'S' S' S' S' CO TABLE ro Cn.71 .28 ON COO' NOnOO' COro Cn CO03 CO ONco03noO'S'o COONco onronoCJCNroO CO COON b 0 O O O CO O ooOS' ro o N3ocoCOoo O CO15 o > OcnO . Cn g OOOO0OOO OOO OOOOO OooOooooooooooOoo oo ro H cn z Cl r* 3 2S'L0O COCO NOCO 00cnCO roS'S'00voroNO noO'N) O'oN) 3 ro •>0 ro fO 0 17 68 03 N» > cn ro co 73 -n S' ro COMO S' § ooo CO nO cncn On ZONE 361 362 363 365 367 368 369 372 373 375 376 377 378 379 380 381 382 383 385 387 388 389 390 392 393 •o 395 396 408 S' x>S'S' CO CO COCOCO CO APPENDIX B PROGRAM FMPPIST ( INPUT»OUTPUT»TAPE 1 = INPUT ) COMMON PF(24,9O),XMEAN,VAR,AC9),B(9),APRC24,6O),XLEA(2« 6O),GARC24 f *,60),GLE(?4,60),IWAYC99), I HOUR(99),MIN(99),EMP|,(99) ,XVAR(24,60) ,VL *E(2<1,60),GXVC24,60),GVL(24,60),JW(3) READ 1, NPFR,NDATA,INI PRINT l/N'PF. R»NDATA»INT 1 FORMAT(6X,2J3,I2) PI s 4,O*ATAN(I.O) PRINT 19 19 FORMAT(IHI,/«9X,*W 0 R K SHIFT S*,//, * *,//, * 4 feX » *T I ME STARTING FNDING*,//) DO 77 J=I,NDATA READ 7, IWAYCJ), IHOURCJ),MINCJ),EMPLCJ) 7 FORMAT CfcX,l 1,212,F5,0) IFCIWAY(J) .EG, 1) GO TO 101 IFCIWAYCJ) ,EQ. 2) GO TO 102 101 CONTINUE PRINT 15,1 HOUR(J),MINCJ),EMPL(J) 15 FORMAT (46X,212,2X,F10,0) GO TO77 102 CONTINUE PRINT 16,IHOUR(J),MIN(,J),EMPL(J) 16 F0RMAT(46X,212,12X,E10,0) 77 CONTINUE PRINT 29 29 FORMATCI HI,/53X,*P £ R I 0 D S*,//, * 31X,*B0RDERS *,//, * 29X,*L0WER UPPER MEAN VARIANCE DISTRIBUTION * WAY*,//) DO 36 M=1»1440 GAR(M) = 0,0 GLE(M) = 0.0 = GXV(M) 0,0 6VL(M) = 0,0 38 CONTINUE DO 11 Nsi,NPER READ 5, IHOURI,MINI,IHOUR2,MIN2,XMEAN,VAR,IDIST,IWI 5 FORMATC6X,ai2,2FIO,R,2II) JfUl) 10H ARRIVING = JW(2) = i3H LEAVING JK(3) 10HARR.-LEA, = IFCIOIST ,EU, 1) GO TO 5010 IFCIOIST .EG. ?) GO TO 5020 IF (101 ST ,£Q. 3) GO TO 5030 IFCIDTST .EG . 4) GO TO 10*10 IFCIOIST .EG. 5) GO TO 1050 IFCIOIST .EG. 6) GO TO 6010 5010 CONTINUE PRINT 35,1 HOURI,MINI,IHOUR2,MIN2,XMEAN,VAR,JW(IWI) 35 F0RMAT(3PX,212,3X,212,2(2X,F10,4),7X,*N0RMAL*,5X,A10) CALL NORMAL(N) GO TO 1060 5020 CONTINUE PRINT i»5,IHOUR1 MINIIHOUR2,MIN2,XMEAN,VAR,Jw(IWI) , , 45 F0RMAT(30X,212,3X,212,2(2X,F10.4),5X,*L0GN0RMAL*,4X,A10) CALL LOGNRML(N) GO TO 1060 5030 CONI INUE PRINT 65,1 HOURI,MINI,IHOUR2,MIN2,XMEAN,VAR,JW(I1) W 65 F0RMAT(3QX,212,3X,21?,2(2X,F1f1.4),2X,*M£G, EXPONENT lAL*A 1«J) CALL NEGEXPCN) GO TO 1060 1040 CONTINUE PRINT 75,1 HOURIrMINI,IHOUR?,MIN2,XMEAN,V AR,JW(IW1) 75 F0RMAT(30X,212,3X,212,2(2X,F10.4),7X,*GAMMA*,6X,A10) CALL GAMMA(N) GO TO 1060 1050 CONTINUE PRINT 05, I HOUR 1,M1N1,1 HOUR2,MIN2,XMEAM,V AR,JW(IWI) 05 F0RMAT(30X,212,3X,212,2(2X,F10.4),4X,*ERLANG DOWN*,3X,AIO) CALL ER|„ ANG(N,0.0 ) GO TO 1060 6010 CONTINUE PRINT 95,IH0UR1,MINI,IH0UR2,MIM2,XMEAN,VAR,JW(IWl) 95 F0RMAT(30X,212,3X,212,2(2X,F10.4),6X,*ERLANG UP*,4X,AIO) CALL ERLANG(N,I.O) 1060 CONTINUE C DO 66 1=1,90 C PRINT 13,PE(N,L) c 13 format(2x,Eio.7) c 66 CONTINUE TIMEI IHOURI * 100 + MINI = = TIME 2 IHOUR2MOO + MIN 2 DO 22 J=I,NDATA IF(IW1 ,F 0,3) GO TO 110 JFCIWI ,NE. IWAY(J)) GO TO 22 110 CONTINUE TIME = IHOUR(J)*100 + MIN(J) IFCTIME TIMED GO TO 22 .EE. IFCTIME ,GT, TIME2) GO TO 22 IFUWAY(J) .EO. 1) GO TO 1090 IFCI WAY CJ) .EO. 2) GO TO 2010 1090 CONTINUE DO 33 K=l» 90 IHT = IHOUR(J) MW = MIN(J) 7777 CONTINUE IF(K LE. MW) GO TO 9020 , IF(IHT .EO. 0.0) IHT=2a.O IHTI IHT 1.0 = IHT = IHTI = MW +60.0 NJ MW = MJ GO TO 7777 9020 CONTINUE MJr MW K +1.0 ~ IHI = IHT +1.0 ARR(IHI,MI) = EMPLCJ)*PE(N,K) GAR(IHI,MI) = GAR(IHI,MI) + ARRCTHI,MI) 0 = 1.0 -P E(N,K) XVAR(IHI,MI) = Q* ARR CIHI,MI) GXV(IHI,MI) GXV(IHI,MI) + XVAR(IHI,MI) = C PRINT 70,TH1,M1,ARR(IH1,M1),GAR(IH1,M1),XVAP(JH1,M1),GXV(IH1,MD 70 F0RMAT(9X,212,2(9X,F10.0),2F10.5) 33 CONTINUE GO TO22 2010 CON fINUE DO 44 K =1,90 IHT I HOUR(J) = MW = MIN(J) MJ= K+ MW 2222 CONTINUE IF(MJ ,LT, 60.01 GO TO 9030 IHTI =INT + 1 IHT = IHTI IF(IHT .EQ. 2fl) IH T =0,0 MI=MJ 60 - = MJ MI GO TO 2222 9030 CONTINUE = IHI IHT+ 1 Ml = MJ+1 XLEA(IHI,MI) EMPL(J)*PE(N,K) - = GLE(IHI,MI) GI.E (IH I,M 1 ) + XLE A C IHI #MI ) = - 0 1.0 PE(N,K) VLE(IHI,MI) = O*XLEA(IHI,MI) GVL(IHI,MI) = GVL(IHI,M 1) + VLE(IHI,MI) C PRINT 1Ifl,IHJ ,M 1,XLEAUHI ,M 1>#GLE(IHI,MI),V|_E(IHI,MI),GVL(IHI,MI) 114 F0RMAT(2X,212,4F10.0) 44 CONTINUE 2? CONTINUE 11 CONTINUE PRINT 39 39 FORMAT(IHI, VEHICLE VOLUME*,//, * 42X,*A. R RI VI NG*,l6X,*L E A V I NG*,//, * ?7X,*TIME *,2(3X,*MINIMUM*,SX,*MEAN*»4X,*MAXIMUM*),//, * 25X, *INTERVAL*, 6(i)X,*VOLUME*),//) J1= 2.0 J 3 = 60.0 = INTI INT DO 28 1=1,24 GO TO97 98 CONTINUE = INTI INT J1= J2+ 1 J 3 = 60.0 97 CONTINUE DO 99 J=JI,J3,INTI IF(INT .NE. INTI) GO TO 3333 = CA Rl 0.0 = CAR 0.0 CLEI = 0.0 CLE = 0.0 = CV AR 0.0 CVAP 1= 0.0 CVLE = 0.0 CVLEI 0.0 = 3333 CONTINUE J2 =J +INTI 1 - NINT = J2 IF(NI NT .GT. 60) NINT=6O DO 68 K=J,NINT CA R 1 = CAR + GAR(I,K) = CAR CAR 1 CVARI = CVAR + G XV(I,K) CVAR = CVARI CLEI = CLE + GLE(I» K) = CLE CLF. 1 CVLEI = CVLE + GVL(T,K) = CVLE CVLEI 66 CONTINUE IFCI ,NF« 2fi) 00 TO 17 IF CNINT .LI. 60) GO TO 17 = CARI CAR + GAR(I ,1 ) CAR CAR! - CVARI CVAR + GXV(I, 1) CVAR = CVARI CLE) = CLF + GLE(1,1 ) CLE CLEI CVLEI CVLE + GVL(1»1) = CVLE = CVLEI IH2 24 = M2s 00 GO TO 113 17 CONTINUE IF(J2 ,GT. 60) GO TO 99 IH2 = - I 1.0 - M2= NINT 1 113 CONTINUE - CAR 2 = CAR SORT(CVAR) CAR 3 = CAR + SORT(CVAR) CIE2 CLE SQRT(CVLE) = CLE 3 = CLE + SQRT(CVLE) PRINT 16,IH2,M2,CAR2,CAR,CAR3,CLE2,CLE,CLE3 16 F0RMAT(27X,212,6F10.0) 99 CONTINUE IF(J2 ,LE. 60) GO TO 96 J3= J?-60 INTI =J 3 J1= 1 28 CONTINUE CALL EXIT end SUBROUTINE NORMAL(N) COMMON PE(24,90),XHEAN,VAR,A(9),R(9),ARR(26,60),XLEA(26,60),GAR(24 *,60),GLF(26,60),1WAY(99),1 HOUR(99),MIN(99),EMPL(99),XVAR(26,6O),VL *E(26,60),GXV(26,60),GVl(26,60), ,1W(3) 1 FORMAT 4lX*>27 1 ;PEr>S SET TO ZER 0 * E 10,3) PI = 4,0* ATAN(I.K) CONST = 1.0/SQRT(2,O*PI*VAR) = AREA 0.0 = ALAST 0.0 = FLAST O.P T= 0.0 XEXP = -o.s*271fPFr>S SET TO 7FRP*MO,S) A(2) =AI.OG(XMEAN)-O.b*ALOG( (VAR/(XMEAM**2))+I,O) B(2)=AIOG((VAR/(XMEAN**2)) + l,0) PI = 4,fI*ATANU,O) CONST=I,O/SQRT(? O*PI*B(2)> t ARE A= 0,0 AL AST=0 0 f FUST = 0.0 = T 0,0 DO 1020 1=1,90 DO 1010 Jsl,lo T=T+o„l XEXP = -0,5*((AIOG(T)-A(2))**2)/R(2) 2010 IF ( ABS(XEXP) ,GT 271,0 ) GO TO F CONST*EXP(XEXP)/T , = AREA = AREA t O.OS*(FIAST4F) FUST F = 1010 CONTINUE PE CN,I ) a AREA -AIAST ALAST AREA = 1020 CONTINUE RETURN 2010 CONTINUE PRINT I,XEXP DO 61 1=1,90 = PE(N, I) 0,0 81 CONTINUE RETURN END SUBROUTINE NEGEXP(N) COMMON PE(24,90)f XMEAN,VAR,A(9)*B(9),ARR(24,6ft),XLEA(24,6(i),GAR(24 *,60),01E(29,60),IWAY(99) THOURC99),MIN(99)FMPL(99 ),XVAR(24,60),VL ,, *E(24,60),GXV(24,6U),GVL(24,60) 1 FORMAT (/,41X*>271 >PEr>S SET TO 7ERO*FIO,3* IN NEGATIVE * * *EXPONENTIAL. DISTRIBUTION*) A (3)sXME AN Tso,o ALAST=O.O DO 1010 1=1,90 T=r+i .0 XEXP = »T/A ( 3) IF ( ABS(XFXP) t GT, 271,0 ) GO TO 2PIO AREA = 1„0 -EXP(XEXP) PE(N,I)=AREA~ALAST alast=area 1010 CONTINUE RETURN 2010 CONTINUE PRINT 1 /XEXP DO B 1 1=1,90 PE(N,I) = 0,0 61 CONTINUE RETURN END subroutine gamma(N) COMMON PE(24,9O),XMEAN,VAR,A(9),H(9),ARR(24,6/1),X1.EA(24,6'1),GARC24 A»6O)#GLF(24#6O),IWAY(99),I HOUR(99),MIN(99),fcMPLC9 9),XV AR(24,6?),VL *E(24,60) ,GXV(227l>PFrfS SET TO ZERO*FIO,3* IN ERLANG DISTRIBUTION*) NO IST a XROUND + 6,fc A(NDIST) = XMEAN/VAR IB=XMEAN**2/VAR+XROUND B(NDIST) IB s IF! B(NDIST) ,GT, 150.0) GO TO 2010 IF(IB,EQ, 0 ) GO TO2020 AREA a 0,0 ALA3T=O,O FLASTsO,O T= 0.0 IBMIsIB-i IFACTsI DO 1010 lai.lßMl IFACTsIFACT*I 1010 CONTINUE CONST=A(NDIST)/IFACT DO 1030 1=1,90 DO 1020 J=l,lo TaT+0 # 1 XEXP a -ACNDIST)*T IF! ABS(XEXP) ,GT, 271,0 ) GO TO 2030 FeCONST*! (A(NDIST)*T)**IBMI)*EXP(XEXP) AREA=AREA+O,OS*(FLAST+F) FLASTaF 1020 CONTINUE PECN, ALASIaAREA ie3o CONTINUE RETURN 2010 CONTINUE PRINT 1, B(NDIST) DO 61 I=l*9o P£(N,I) 0,0 a 61 CONTINUE RETURN 2020 CONTINUE PRINT 2 DO 61 1=1,90 PE(N,I) = 0.3 61 CONTINUE RETURN 2030 CONTINUE PRINT 3, XEXP DO 51 1=1,90 PE(N,I) = 0,0 51 CONTINUE RETURN END FUNCTION GAMMAP(X) C W GAUTSCHI,ALGORT THM22I,CACM, H,WERNER,R.COLLINGE,MOCIS,I9b-)97, f DATA AOO/ 0,90999 99999 9999/ DATA AOl / 0.92278 93351 0233/ DATA A02/ 0,91189 03301 6678/ DATA AO3/ 0,08157 69261 29155/ DATA AU9/ 0,07929 89159 19999/ DATA AO5/~0,00026 61865 99953 06/ DATA AO6/ 0,01119 97193 35778/ DATA AO7/-0.00283 69625 20372 8/ DATA AOB/ 0,00206 10918 50225 5/ DATA AO9/-P,00083 75696 85135 17/ DATA AlO/ 0,00037 53650 52263 07/ DATA All/-0,00012 19173 98706 32/ DATA Al2/ 0,00002 79832 88993 83/ DATA Al3/-0,00000 30301 90810 28/ C ZsX IF(X GT,150,0) GO TO 91 GAMMAF=I,O 1F(Z,GT,3,0) GO e TO 20 GO TO30 IFCZ,GT O,O) GO 10 1F(Z,GE,2.0) TO # Z=AMOD(X,I,) IF(Z,CU,O,O) GO TO90 ZsX 10 gammaf=gammaf/z Z= Z+i .0 Jr(Z«GE,2,O) 30,10 20 ZsZ-1,0 GAMMAF=GAMMAF*Z IF(Z GT.3,O) GO TO 20 t 30 TsZ-2. P=l(((C(Al3*T+Al2)*T+All)*T+Alo)*T+Ao9)*T+AoB)*T+Ao7)*T+Ao6 Ps (((((P *T+AOS)*T+AO9)*T+AO3)*T+AO2)*T+AOI)*T+AOO 80 GAMMAF=GAMMAF*P RETURN 90 PRIM 95,X STOP 3 91 PRINT 96,X CALL SYSTEMP(O,O,O,O,O,O,I,6LGAMMAF) STOP 9 96 FORMAT(*OX = *E20.13* GT 150*) 95 FORMATC*OBAD ARGUMENT FOR GAMMAF(Z)*E2O,I3) END REFERENCES 1. James Bradley, V., Distribution—Free Statistical Tests, Prentice-Hall, Inc., Englewood Cliffs, 1968, pp. 296-303. 2. Statistics: With View Toward Breiman, Leo, a Applications, Houghton Mifflin Company, Boston, 1973, pp. 298-316. 3. Chance, Merrit 0., Airport Access and Ground Traffic Study Review, Graduate Report, Institute of Transportation and Traffic Engineering, University of California, Berkeley, 1968, pp. 18-31. 4. Dunlay, William J., et al., Survey of Ground Transportation Patterns of the Dallas/Fort Worth Research Regional Airport, Report 15, Transportation Studies, Council for Advanced The University of Texas at Austin, August 1975, pp. 13-23 5. Gerlough, Daniel L. and Barnes, Frank C., Poisson and Other Distributions in Traffic, Eno Foundation for Transportation, Saugatuck, 1971, pp. 35-49. 6. and and Other Distributions Gerlough, Daniel, Barnes, Frank, Poisson in Foundation Traffic, Eno for Transportation, Saugatuck, 1971, 120-121. pp. 7. MAPSCO, Dallas 1975, Handy Map, Inc., Dallas, Texas 8. MAPSCO, Fort Worth 1975, Handy Map, Inc., Dallas, Texas. 9. Naylor, Thomas H., et al., Computer Simulation Techniques, John 77-701. Wiley & Sons, Inc., New York, 1966, pp. 10. Statistical Package for the Social Nie, Norman, et al., Sciences, McGraw-Hill Book Company, 1975. 11. North Central Texas Council of Governments, data furnished from their in-house computer operations. A of Local 12. Robinson, John P., and Nordlie, Peter G., Survey Origins and Destinations of Users of Washington National Airport, U.S. HSR-RR-61/S—MS-b, February 1961, of 37-43. Department Commerce, pp. Statistics for the Behavioral Sciences, 13. Siegel, Sidney, Nonparametric McGraw-Hill Book Company, 1956, pp. 47-52. 100 The vita has been removed from the digitized version of this document.