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A partitioning algorithm for the network loading problem

delete2010-07-01
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Frédéric Babonneau *
J
J.‐P. Vial
DOI:10.1016/j.ejor.2009.10.009delete
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Abstract

Abstract

En 中文
This paper proposes a Benders-like partitioning algorithm to solve the network loading problem. The approach is an iterative method in which the integer programming solver is not used to produce the best integer point in the polyhedral relaxation of the set of feasible capacities. Rather, it selects an integer solution that is closest to the best known integer solution. Contrary to previous approaches, the method does not exploit the original mixed integer programming formulation of the problem. The effort of computing integer solutions is entirely left to a pure integer programming solver while valid inequalities are generated by solving standard nonlinear multicommodity flow problems. The method is compared to alternative approaches proposed in the literature and appears to be efficient for computing good upper bounds. (C) 2009 Elsevier B.V. All rights reserved.
Keywords:
Network loading problem
Benders partitioning
ACCPM
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Journal

European Journal of Operational Research cover
European Journal of Operational Research
IF:
6
Papers:
2.2W
Citations:
6.4W

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