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Title: Multiple response optimization for higher dimensions in factors and responses

Journal Article · · Quality and Reliability Engineering International
DOI:https://doi.org/10.1002/qre.2051· OSTI ID:1312571
 [1];  [2];  [3]
  1. Univ. of South Florida, Tampa, FL (United States)
  2. St. Lawrence Univ., Canton, NY (United States)
  3. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

When optimizing a product or process with multiple responses, a two-stage Pareto front approach is a useful strategy to evaluate and balance trade-offs between different estimated responses to seek optimum input locations for achieving the best outcomes. After objectively eliminating non-contenders in the first stage by looking for a Pareto front of superior solutions, graphical tools can be used to identify a final solution in the second subjective stage to compare options and match with user priorities. Until now, there have been limitations on the number of response variables and input factors that could effectively be visualized with existing graphical summaries. We present novel graphical tools that can be more easily scaled to higher dimensions, in both the input and response spaces, to facilitate informed decision making when simultaneously optimizing multiple responses. A key aspect of these graphics is that the potential solutions can be flexibly sorted to investigate specific queries, and that multiple aspects of the solutions can be simultaneously considered. As a result, recommendations are made about how to evaluate the impact of the uncertainty associated with the estimated response surfaces on decision making with higher dimensions.

Research Organization:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOD; USDOE
Grant/Contract Number:
AC52-06NA25396
OSTI ID:
1312571
Report Number(s):
LA-UR-15-26285
Journal Information:
Quality and Reliability Engineering International, Journal Name: Quality and Reliability Engineering International; ISSN 0748-8017
Publisher:
WileyCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 6 works
Citation information provided by
Web of Science

References (9)

Optimal designed experiments using a Pareto front search for focused preference of multiple objectives journal March 2014
Optimization of Designed Experiments Based on Multiple Criteria Utilizing a Pareto Frontier journal November 2011
Balancing Multiple Criteria Incorporating Cost using Pareto Front Optimization for Split-Plot Designed Experiments: Pareto Front Optimization for Split-Plot Designs journal December 2012
Process Optimization for Multiple Responses Utilizing the Pareto Front Approach journal May 2014
Incorporating response variability and estimation uncertainty into Pareto front optimization journal October 2014
Optimization of Simultaneous Saccharification and Fermentation for the Production of Ethanol from Lignocellulosic Biomass journal May 2000
Impact of response variability on Pareto front optimization
  • Chapman, Jessica L.; Lu, Lu; Anderson-Cook, Christine M.
  • Statistical Analysis and Data Mining: The ASA Data Science Journal, Vol. 8, Issue 5-6 https://doi.org/10.1002/sam.11279
journal September 2015
A Case Study on Selecting a Best Allocation of New Data for Improving the Estimation Precision of System and Subsystem Reliability Using Pareto Fronts journal November 2013
Rethinking the Optimal Response Surface Design for a First-Order Model with Two-Factor Interactions, When Protecting against Curvature journal July 2012

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