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A polynomial-time algorithm for computing disjoint lightpath pairs in minimum isolated-failure-immune WDM optical networks

Published: 01 April 2014 Publication History

Abstract

A fundamental problem in survivable routing in wavelength division multiplexing (WDM) optical networks is the computation of a pair of link-disjoint (or node-disjoint) lightpaths connecting a source with a destination, subject to the wavelength continuity constraint. However, this problem is NP-hard when the underlying network topology is a general mesh network. As a result, heuristic algorithms and integer linear programming (ILP) formulations for solving this problem have been proposed. In this paper, we advocate the use of 2-edge connected (or 2-node connected) subgraphs of minimum isolated failure immune networks as the underlying topology for WDM optical networks. We present a polynomial-time algorithm for computing a pair of link-disjoint lightpaths with shortest total length in such networks. The running time of our algorithm is O(nW2), where n is the number of nodes, and W is the number of wavelengths per link. Numerical results are presented to demonstrate the effectiveness and scalability of our algorithm. Extension of our algorithm to the node-disjoint case is straightforward.

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  1. A polynomial-time algorithm for computing disjoint lightpath pairs in minimum isolated-failure-immune WDM optical networks

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    Published In

    cover image IEEE/ACM Transactions on Networking
    IEEE/ACM Transactions on Networking  Volume 22, Issue 2
    April 2014
    339 pages
    ISSN:1063-6692
    • Editor:
    • R. Srikant
    Issue’s Table of Contents

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    IEEE Press

    Publication History

    Published: 01 April 2014
    Accepted: 01 March 2013
    Revised: 06 August 2012
    Received: 29 November 2011
    Published in TON Volume 22, Issue 2

    Author Tags

    1. disjoint lightpath pairs
    2. minimum isolated failure immune networks
    3. partial 2-trees
    4. wavelength division multiplexing (WDM) optical network

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