Solving biobjective combinatorial max-ordering problems by ranking methods and a two-phases approach

Solving biobjective combinatorial max-ordering problems by ranking methods and a two-phases approach

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Article ID: iaor20042759
Country: Netherlands
Volume: 147
Issue: 3
Start Page Number: 657
End Page Number: 664
Publication Date: Jun 2003
Journal: European Journal of Operational Research
Authors: ,
Keywords: programming: multiple criteria
Abstract:

In this paper we propose a new method to solve biobjective combinatorial optimization problems of the max-ordering type. The method is based on the two-phases method and ranking algorithms to efficiently construct K-best solutions for the underlying (single objective) combinatorial problem. We show that the method overcomes some of the difficulties of procedures proposed earlier. We illustrate this by an example and discuss the difficulties in extending it to more than two objectives.

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