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Enumerating the Set of Non-dominated Vectors in Multiple Objective Integer Linear Programming

By John Sylva and Alejandro Crema


An algorithm for enumerating all nondominated vectors of multiple objective integer linear programs is presented. The method tests different regions where candidates can be found using an auxiliary binary problem for tracking the regions already explored. An experimental comparision with our previous efforts shows the method has relatively good time performance

Topics: Integer Programming, Multiple Objective Programming, Parametric Programming.
Publisher: EDP Sciences
Year: 2008
DOI identifier: 10.1051/ro:2008018/pdf
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