Mathematics – Optimization and Control
Scientific paper
2011-04-28
Mathematics
Optimization and Control
10 pages
Scientific paper
This paper introduces an improved recursive algorithm to generate the set of all nondominated objective vectors for the Multi-Objective Integer Programming (MOIP) problem. We significantly improve the earlier recursive algorithm of \"Ozlen and Azizo\u{g}lu by using the set of already solved subproblems and their solutions to avoid solving a large number of IPs. A numerical example is presented to explain the workings of the algorithm, and we conduct a series of randomised computational experiments to show the savings that can be obtained. As our experiments show, the improvement becomes more significant as the problems grow larger in terms of the number of rows, columns, objectives, and nondominated objective vectors.
Burton Benjamin A.
Ozlen Melih
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