Indian Journal of Science and Technology
DOI: 10.17485/ijst/2015/v8iS8/70746
Year: 2015, Volume: 8, Issue: Supplementary 8, Pages: 1-8
Original Article
M. Anisi and H. Salehi Fathabadi*
Department of Mathematics, College of Basic Science, Karaj Branch, Islamic Azad University, Alborz, Iran; [email protected], [email protected]
This paper is concerned with the problem of designing a survivable capacitated fixed-charge network. This problem is about selecting a set of fixed-charge arcs inorder to build a survivable network with the cost being kept to a minimum and the flow requirements being satisfied. The system is subject to failure and capacity restriction. Failure is defined as simultaneous failure of arcs. To solve the problem, first a mixed integer linear program is introduced. Then, an appropriate Benders Decomposition (BD) method is developed. Finally, in order to reduce the number of iterations of using the BD approach, a new strategy is proposed on the basis of s-t cut theorem. Using this strategy, the length of time required to solve the problem was reduced by 35% on average.
Keywords: Benders Decomposition, Network Design, Survivable
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