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IP‐MRSO: An iterative posterior preference articulation method to multiple response surface optimization
Author(s) -
Lee DongHee,
Jeong InJun
Publication year - 2017
Publication title -
quality and reliability engineering international
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 62
eISSN - 1099-1638
pISSN - 0748-8017
DOI - 10.1002/qre.2145
Subject(s) - preference , mathematical optimization , a priori and a posteriori , selection (genetic algorithm) , set (abstract data type) , inefficiency , decision maker , computer science , mathematics , artificial intelligence , operations research , statistics , economics , philosophy , epistemology , microeconomics , programming language
Abstract One of the most important issues in multiple response surface optimization (MRSO) is obtaining a satisfactory “compromise” solution considering a decision maker (DM)'s preference information on the tradeoffs among multiple responses. A promising alternative to incorporate the DM's preference information into the problem is the posterior preference articulation approach, which first generates all (or most) of the nondominated solutions and then makes the DM select the best one from the set of nondominated solutions a posteriori. However, it has an inefficiency problem in that it generates an excessive number of nondominated solutions in which almost all are not used for the DM's selection. This paper proposes a new posterior method called “IP‐MRSO” to overcome the limitation of the existing posterior method. The proposed IP‐MRSO is illustrated through a well‐known MRSO case problem.