An interactive approximation algorithm for multi-objective integer programs

LOKMAN B., Koksalan M., Korhonen P. J., Wallenius J.

COMPUTERS & OPERATIONS RESEARCH, cilt.96, ss.80-90, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 96
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1016/j.cor.2018.04.005
  • Dergi Adı: COMPUTERS & OPERATIONS RESEARCH
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.80-90
  • Anahtar Kelimeler: Multi-objective integer programming, Approximation algorithm, Interactive algorithm, MULTIPLE CRITERIA, CONVEX CONES, OPTIMIZATION PROBLEMS
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

We develop an interactive algorithm that approximates the most preferred solution for any multi-objective integer program with a desired level of accuracy, provided that the decision maker's (DM's) preferences are consistent with a nondecreasing quasiconcave value function. Using pairwise comparisons of the DM, we construct convex cones and eliminate the inferior regions that are close to being dominated by the cones in addition to the regions dominated by the cones. The algorithm allows the DM to change the desired level of accuracy during the solution process. We test the performance of the algorithm on a set of multi-objective combinatorial optimization problems. It performs very well in terms of the quality of the solution found, the solution time, and the required preference information. (C) 2018 Elsevier Ltd. All rights reserved.