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Title: Selecting a near-optimal design for multiple criteria with improved robustness to different user priorities

Journal Article · · Quality and Reliability Engineering International
DOI:https://doi.org/10.1002/qre.2413· OSTI ID:1481982
 [1];  [2];  [3];  [4]
  1. Scientific Test and Analysis Techniques Center of Excellence, Dayton, OH (United States)
  2. Univ. of South Florida, Tampa, FL (United States). Dept. of Mathematics and Statistics
  3. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  4. Arizona State Univ., Tempe, AZ (United States). School of Computing, Informatics and Decisions Systems, Engineering Dept. of Industrial Engineering

In a decision-making process, relying on only one objective can often lead to oversimplified decisions that ignore important considerations. Incorporating multiple, and likely competing, objectives is critical for balancing trade-offs on different aspects of performance. When multiple objectives are considered, it is often hard to make a precise decision on how to weight the different objectives when combining their performance for ranking and selecting designs. We show that there are situations when selecting a design with near-optimality for a broad range of weight combinations of the criteria is a better test selection strategy compared with choosing a design that is strictly optimal under very restricted conditions. Here, we propose a new design selection strategy that identifies several top-ranked solutions across broad weight combinations using layered Pareto fronts and then selects the final design that offers the best robustness to different user priorities. This method involves identifying multiple leading solutions based on the primary objectives and comparing the alternatives using secondary objectives to make the final decision. We focus on the selection of screening designs because they are widely used both in industrial research, development, and operational testing. The method is illustrated with an example of selecting a single design from a catalog of designs of a fixed size. However, the method can be adapted to more general designed experiment selection problems that involve searching through a large design space.

Research Organization:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
US Department of Homeland Security (DHS); USDOE
Grant/Contract Number:
AC52-06NA25396; PSA‐ASU‐ODEX‐16‐04
OSTI ID:
1481982
Report Number(s):
LA-UR-18-20532
Journal Information:
Quality and Reliability Engineering International, Vol. 35, Issue 3; ISSN 0748-8017
Publisher:
WileyCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 1 work
Citation information provided by
Web of Science

References (11)

Simultaneous Optimization of Several Response Variables journal October 1980
Rethinking the Optimal Response Surface Design for a First-Order Model with Two-Factor Interactions, When Protecting against Curvature journal July 2012
Balancing Multiple Criteria Incorporating Cost using Pareto Front Optimization for Split-Plot Designed Experiments: Pareto Front Optimization for Split-Plot Designs journal December 2012
A case study to demonstrate a Pareto Frontier for selecting a best response surface design while simultaneously optimizing multiple criteria: L. LU, C. M. ANDERSON-COOK AND T. J. ROBINSON
  • Lu, Lu; Anderson-Cook, Christine M.; Robinson, Timothy J.
  • Applied Stochastic Models in Business and Industry, Vol. 28, Issue 3 https://doi.org/10.1002/asmb.940
journal March 2012
Complete enumeration of pure-level and mixed-level orthogonal arrays journal August 2009
A comparison of two-level designs to estimate all main effects and two-factor interactions journal May 2016
Fraction of Design Space to Assess Prediction Capability of Response Surface Designs journal October 2003
A Case Study to Select an Optimal Split-Plot Design for a Mixture-Process Experiment Based on Multiple Objectives journal August 2014
Adapting the Hypervolume Quality Indicator to Quantify Trade-offs and Search Efficiency for Multiple Criteria Decision Making Using Pareto Fronts journal September 2012
A fast and elitist multiobjective genetic algorithm: NSGA-II journal April 2002
Optimal designed experiments using a Pareto front search for focused preference of multiple objectives journal March 2014

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