Finding preferred solutions under weighted Tchebycheff preference functions for multi-objective integer programs

KARAKAYA G., Köksalan M.

European Journal of Operational Research, vol.308, no.1, pp.215-228, 2023 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 308 Issue: 1
  • Publication Date: 2023
  • Doi Number: 10.1016/j.ejor.2022.11.043
  • Journal Name: European Journal of Operational Research
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, International Bibliography of Social Sciences, ABI/INFORM, Applied Science & Technology Source, Business Source Elite, Business Source Premier, Computer & Applied Sciences, EconLit, INSPEC, Public Affairs Index, zbMATH, Civil Engineering Abstracts
  • Page Numbers: pp.215-228
  • Keywords: Multiple objective programming, Tchebycheff function, Interactive approach, Preferred solution, INTERACTIVE APPROACH, CONE CONTRACTION, DECISION-MAKING
  • Middle East Technical University Affiliated: Yes

Abstract

© 2022 Elsevier B.V.Many interactive approaches in multi-objective optimization assume the existence of an underlying preference function that represents the preferences of a decision maker (DM). In this paper, we develop the theory and an exact algorithm that guarantees finding the most preferred solution of a DM whose preferences are consistent with a Tchebycheff function for multi-objective integer programs. The algorithm occasionally presents pairs of solutions to the DM and asks which one is preferred. It utilizes the preference information together with the properties of the Tchebycheff function to generate solutions that are candidates to be the most preferred solution. We test the performance of the algorithm on a set of three and four-objective combinatorial optimization problems.