An interactive approximation algorithm for multi-objective integer programs

Date

2018-08-01

Author

Lokman, Banu
Korhonen, Pekka J.
Wallenius, Jyrki

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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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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.

Subject Keywords

Multi-objective integer programming, Approximation algorithm, Interactive algorithm

URI

https://hdl.handle.net/11511/30772

Journal

COMPUTERS & OPERATIONS RESEARCH

DOI

https://doi.org/10.1016/j.cor.2018.04.005

Collections

Graduate School of Natural and Applied Sciences, Article

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Citation Formats

B. Lokman, P. J. Korhonen, and J. Wallenius, “An interactive approximation algorithm for multi-objective integer programs,” COMPUTERS & OPERATIONS RESEARCH, pp. 80–90, 2018, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/30772.