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Finding highly preferred points for multi-objective integer programs
Date
2014-01-01
Author
LOKMAN, BANU
Köksalan, Mustafa Murat
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Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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This article develops exact algorithms to generate all non-dominated points in a specified region of the criteria space in Multi-Objective Integer Programs (MOIPs). Typically, there are too many non-dominated points in large MOIPs and it is not practical to generate them all. Therefore, the problem of generating non-dominated points in the preferred region of the decision-maker is addressed. To define the preferred region, the non-dominated set is approximated using a hyper-surface. A procedure is developed that then finds a preferred hypothetical point on this surface and defines a preferred region around the hypothetical point. Once the preferred region is defined, all non-dominated points in that region are generated. The performance of the proposed approach is tested on multi-objective assignment, multi-objective knapsack, and multi-objective shortest path problems with three and four objectives. Computational results show that a small set of non-dominated points is generated that contains highly preferred points in a reasonable time.
Subject Keywords
Industrial and Manufacturing Engineering
URI
https://hdl.handle.net/11511/57666
Journal
IIE TRANSACTIONS
DOI
https://doi.org/10.1080/0740817x.2014.882532
Collections
Department of Industrial Engineering, Article