### 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(nW^{2}), 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.

Original language | English (US) |
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Article number | 6519289 |

Pages (from-to) | 470-483 |

Number of pages | 14 |

Journal | IEEE/ACM Transactions on Networking |

Volume | 22 |

Issue number | 2 |

DOIs | |

State | Published - Apr 2014 |

### Keywords

- Disjoint lightpath pairs
- minimum isolated failure immune networks
- partial 2-trees
- wavelength division multiplexing (WDM) optical network

### ASJC Scopus subject areas

- Software
- Computer Science Applications
- Computer Networks and Communications
- Electrical and Electronic Engineering

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## Cite this

*IEEE/ACM Transactions on Networking*,

*22*(2), 470-483. [6519289]. https://doi.org/10.1109/TNET.2013.2257180