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

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

0.00 Avg rating0 Votes
Article ID: iaor20163516
Volume: 245
Issue: 1
Start Page Number: 67
End Page Number: 95
Publication Date: Oct 2016
Journal: Annals of Operations Research
Authors: , , ,
Keywords: combinatorial optimization, programming: integer, decision theory: multiple criteria, programming: multiple criteria
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.

Reviews

Required fields are marked *. Your email address will not be published.