Title: Survivable multi-commodity network flow design: case of node capacities and arc failure

Authors: Majid Anisi; Hasan Salehi Fathabadi

Addresses: Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran ' Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran

Abstract: This paper is focused on the design of a survivable network with node capacities and flow restrictions. The goal is to design a survivable network at minimum cost so that feasible flows exist at the time of multiple simultaneous failure arcs (failure scenario). To solve this problem Benders' decomposition (BD) was initially proposed and, then, a new strategy was presented to obtain specific failure scenarios. We computationally demonstrated that BD using this strategy could obtain the optimal solution faster. This strategy reduced iterations more greatly than the BD approach. Using this strategy, the length CPU time required for solving the problem was reduced by 30% on average.

Keywords: survivable; network design; Benders' decomposition; node capacities.

DOI: 10.1504/IJOR.2019.101199

International Journal of Operational Research, 2019 Vol.35 No.3, pp.355 - 365

Received: 08 Sep 2015
Accepted: 20 Jul 2016

Published online: 23 Jul 2019 *

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