A slope scaling/Lagrangean perturbation heuristic with long-term memory for multicommodity capacitated fixed-charge network design

A slope scaling/Lagrangean perturbation heuristic with long-term memory for multicommodity capacitated fixed-charge network design

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Article ID: iaor20051136
Country: Netherlands
Volume: 10
Issue: 5
Start Page Number: 525
End Page Number: 545
Publication Date: Sep 2004
Journal: Journal of Heuristics
Authors: , ,
Keywords: heuristics
Abstract:

This paper describes a slope scaling heuristic for solving the multicommodity capacitated fixed-charge network design problem. The heuristic integrates a Lagrangean perturbation scheme and intensification/diversification mechanisms based on a long-term memory. Although the impact of the Lagrangean perturbation mechanism on the performance of the method is minor, the intensification/diversification components of the algorithm are essential for the approach to achieve good performance. The computational results on a large set of randomly generated instances from the literature show that the proposed method is competitive with the best known heuristic approaches for the problem. Moreover, it generally provides better solutions on larger, more difficult, instances.

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