Qualitative and quantitative sequential sampling

Abstract

Sequential sampling refers to a set of design of experiment (DOE) method where the next sample point is determined by information from previous experiments. This dissertation introduces qualitative and quantitative sequential sampling (Q2S2) technique, in which optimization and user knowledge is used to guide the efficient choice of sample points. This method combines information from multiple fidelity sources including computer simulation models of the product, first principals involved in design and designer's qualitative intuitions about the design. Both quantitative and qualitative information from varying fidelty sources are merged together to arrive at new sampling strategy. This is accomplished by introducing the concept of confidence function, C, which is represented as a field that is a function of the decision variables, x, and the performance parameter, f. The advantages of the approach are demonstrated using various function example cases. The examples include design of a bi-stable Micro Electro Mechanical System (MEMS) relay, a complex and relevant mechanical system. In each case, the performance of Q2S2 is highly encouraging.