Second-order extensions to nearly orthogonal-and-balanced (NOAB) mixed-factor experimental designs

作     者：Little, Zachary C. Weir, Jeffery D. Hill, Raymond R. Stone, Brian B. Freels, Jason K. 

作者机构：Perduco Grp 3610 Pentagon Blvd 110 Beavercreek OH 45431 USA Air Force Inst Technol Dept Operat Sci Wright Patterson AFB OH USA Air Force Inst Technol Dept Syst Engn & Management Wright Patterson AFB OH USA 

出 版 物：《JOURNAL OF SIMULATION》 (仿真杂志)

年 卷 期：2019年第13卷第3期

页      面：226-237页

核心收录：

学科分类：1201[管理学-管理科学与工程(可授管理学、工学学位)] 08[工学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

基　　金：Simulation and Analysis Facility (SIMAF)  Air Force Life Cycle Management Center  Simulation and Analysis Division (AFLCMC/XZS) 

主　　题：Design of experiments mixed-integer linear programming pairwise correlation model misspecification meta-model 

摘      要：When simulation studies involve many quantitative (i.e., discrete and continuous) and qualitative (i.e., categorical) input factors with different numbers of levels for each, meta-models of simulation responses can benefit from the use of mixed-factor space-filling designs. The first-order nearly orthogonal-and-balanced (NOAB) design is a popular approach in these situations. This research develops second-order extensions for an existing construction method of NOAB designs, estimating the pairwise correlations between possible first-order and second-order terms. These extensions permit additional linear constraints in the mixed-integer linear programming (MILP) formulations previously developed for first-order NOAB designs. A case study is presented for NOAB designs of different sizes and construction approaches. The second-order MILP extensions show improvements in design performance measures for parameter estimation and prediction variance for an assumed second-order model as well as for model misspecification with respect to second-order terms for an assumed first-order model.