Networks

A directed cycle‐based column‐and‐cut generation method for capacitated survivable network design

Journal Article

Abstract

A network is said to be survivable if it has sufficient capacity for rerouting all of its flow under the failure of any one of its edges. Here, we present a polyhedral approach for designing survivable networks. We describe a mixed‐integer programming model, in which sufficient slack is explicitly introduced on the directed cycles of the network while flow routing decisions are made. In case of a failure, flow is rerouted along the slacks reserved on directed cycles. We give strong valid inequalities that use the survivability requirements. We present a computational study with a column‐and‐cut generation algorithm for designing capacitated survivable networks. © 2004 Wiley Periodicals, Inc.

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