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

Abstract

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.

Authors:
 [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)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOD; USDOE
OSTI Identifier:
1312571
Report Number(s):
LA-UR-15-26285
Journal ID: ISSN 0748-8017
Grant/Contract Number:  
AC52-06NA25396
Resource Type:
Accepted Manuscript
Journal Name:
Quality and Reliability Engineering International
Additional Journal Information:
Journal Name: Quality and Reliability Engineering International; Journal ID: ISSN 0748-8017
Publisher:
Wiley
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS AND COMPUTING; mathematics; response surfaces; decision-making; Pareto front; scalability; estimation uncertainty

Citation Formats

Lu, Lu, Chapman, Jessica L., and Anderson-Cook, Christine M. Multiple response optimization for higher dimensions in factors and responses. United States: N. p., 2016. Web. doi:10.1002/qre.2051.
Lu, Lu, Chapman, Jessica L., & Anderson-Cook, Christine M. Multiple response optimization for higher dimensions in factors and responses. United States. doi:10.1002/qre.2051.
Lu, Lu, Chapman, Jessica L., and Anderson-Cook, Christine M. Tue . "Multiple response optimization for higher dimensions in factors and responses". United States. doi:10.1002/qre.2051. https://www.osti.gov/servlets/purl/1312571.
@article{osti_1312571,
title = {Multiple response optimization for higher dimensions in factors and responses},
author = {Lu, Lu and Chapman, Jessica L. and Anderson-Cook, Christine M.},
abstractNote = {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.},
doi = {10.1002/qre.2051},
journal = {Quality and Reliability Engineering International},
number = ,
volume = ,
place = {United States},
year = {2016},
month = {7}
}

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Works referenced in this record:

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journal, March 2014

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