An interactive algorithm to find the most preferred solution of multi-objective integer programs

Banu Lokman (), Murat Köksalan (), Pekka Korhonen and Jyrki Wallenius ()
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Banu Lokman: TED University
Murat Köksalan: Middle East Technical University
Jyrki Wallenius: Aalto University

Annals of Operations Research, 2016, vol. 245, issue 1, No 5, 67-95

Abstract: Abstract In this paper, we develop an interactive algorithm that finds the most preferred solution of a decision maker (DM) for multi-objective integer programming problems. We assume that the DM’s preferences are consistent with a quasiconcave value function unknown to us. Based on the properties of quasiconcave value functions and pairwise preference information obtained from the DM, we generate constraints to restrict the implied inferior regions. The algorithm continues iteratively and guarantees to find the most preferred solution for integer programs. We test the performance of the algorithm on multi-objective assignment, knapsack, and shortest path problems and show that it works well.

Keywords: Multi-objective optimization; Integer programming; Linear programming; Convex cones (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (9)

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DOI: 10.1007/s10479-014-1545-2

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