Robust multi-response surface optimization: a posterior preference approach

Mahdi Bashiri, Amir Moslemi, Seyed Taghi Akhavan Niaki

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)
14 Downloads (Pure)


This paper discusses the use of multi-response surface optimization (MRSO) to select the preferred solutions from among various non-dominated solutions (NDS). Since MSRO often involves conflicting responses, the decision-maker's (DM) preference information should be included in the model in order to choose the preferred solutions. In some approaches this information is added to the model after the problem is solved. In contrast, this paper proposes a three-stage method for solving the problem. In the first stage, a robust approach is used to construct a regression model. In the second phase, non-dominated solutions are generated by the ε-constraint approach. The robust solutions obtained in the third phase are NDS that are more likely to be Pareto solutions during consecutive iterations. A simulation study is then presented to show the effective performance of the proposed approach. Finally, a numerical example from the literature is brought in to demonstrate the efficiency and applicability of the proposed methodology.

Original languageEnglish
Pages (from-to)1751-1770
Number of pages20
JournalInternational Transactions in Operational Research
Issue number3
Early online date5 Sep 2017
Publication statusPublished - 1 May 2020
Externally publishedYes

Bibliographical note

This is the peer reviewed version of the following article: Bashiri, M, Moslemi, A & Akhavan Niaki, ST 2020, 'Robust multi-response surface optimization: a posterior preference approach', International Transactions in Operational Research, vol. 27, no. 3, pp. 1751-1770.which has been published in final form at This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving.


  • multi-response
  • optimization
  • posterior
  • robust

ASJC Scopus subject areas

  • Business and International Management
  • Computer Science Applications
  • Strategy and Management
  • Management Science and Operations Research
  • Management of Technology and Innovation


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