### Abstract

The survivable logical topology routing problem in an IP-over-WDM optical network is to map each link (u, v) in the logical topology (at the IP layer) into a lightpath between the nodes u and v in the physical topology (at the optical layer) such that failure of a physical link does not cause the logical topology to become disconnected. It is assumed that both the physical and logical topologies are at least two-edge connected. For this problem, two lines of investigation have been pursued in the literature: one pioneered by Modiano and Narula-Tam [Proc. IEEE INFO-COM, 2001, p. 348] and the other pioneered by Kurant and Thiran [Proc. Int. Conf. on Broadband Networks (BROAD-NETS), 2004, p. 44]. Since then there has been a great deal of research on this problem. Most of the works have not considered limitations imposed on the routings by physical capacity limits and other metrics in addition to survivability. In this paper, we first introduce two concepts: weakly survivable routing and strongly survivable routing. We then provide mathematical programming formulations for two problems. The first problem is to design a survivable lightpath routing that maximizes the logical demand satisfaction before and after a physical link failure. The second problem is to add spare capacities to the physical links to guarantee routability of all logical link demands before and after a physical link failure. We conclude with heuristics that mitigate the computational complexity of the mathematical programming formulations and with simulation results comparing these heuristics with the mathematical programming formulations.

Original language | English (US) |
---|---|

Article number | 6739404 |

Pages (from-to) | 190-203 |

Number of pages | 14 |

Journal | Journal of Optical Communications and Networking |

Volume | 6 |

Issue number | 2 |

DOIs | |

State | Published - Feb 2014 |

### Fingerprint

### Keywords

- IP-over-WDM
- Logical topology routing
- Mathematical programming
- Survivability

### ASJC Scopus subject areas

- Computer Networks and Communications

### Cite this

*Journal of Optical Communications and Networking*,

*6*(2), 190-203. [6739404]. https://doi.org/10.1364/JOCN.6.000190

**Unified mathematical programming frameworks for survivable logical topology routing in IP-over-WDM optical networks.** / Lin, Tachun; Zhou, Zhili; Thulasiraman, Krishnaiyan; Xue, Guoliang; Sahni, Sartaj.

Research output: Contribution to journal › Article

*Journal of Optical Communications and Networking*, vol. 6, no. 2, 6739404, pp. 190-203. https://doi.org/10.1364/JOCN.6.000190

}

TY - JOUR

T1 - Unified mathematical programming frameworks for survivable logical topology routing in IP-over-WDM optical networks

AU - Lin, Tachun

AU - Zhou, Zhili

AU - Thulasiraman, Krishnaiyan

AU - Xue, Guoliang

AU - Sahni, Sartaj

PY - 2014/2

Y1 - 2014/2

N2 - The survivable logical topology routing problem in an IP-over-WDM optical network is to map each link (u, v) in the logical topology (at the IP layer) into a lightpath between the nodes u and v in the physical topology (at the optical layer) such that failure of a physical link does not cause the logical topology to become disconnected. It is assumed that both the physical and logical topologies are at least two-edge connected. For this problem, two lines of investigation have been pursued in the literature: one pioneered by Modiano and Narula-Tam [Proc. IEEE INFO-COM, 2001, p. 348] and the other pioneered by Kurant and Thiran [Proc. Int. Conf. on Broadband Networks (BROAD-NETS), 2004, p. 44]. Since then there has been a great deal of research on this problem. Most of the works have not considered limitations imposed on the routings by physical capacity limits and other metrics in addition to survivability. In this paper, we first introduce two concepts: weakly survivable routing and strongly survivable routing. We then provide mathematical programming formulations for two problems. The first problem is to design a survivable lightpath routing that maximizes the logical demand satisfaction before and after a physical link failure. The second problem is to add spare capacities to the physical links to guarantee routability of all logical link demands before and after a physical link failure. We conclude with heuristics that mitigate the computational complexity of the mathematical programming formulations and with simulation results comparing these heuristics with the mathematical programming formulations.

AB - The survivable logical topology routing problem in an IP-over-WDM optical network is to map each link (u, v) in the logical topology (at the IP layer) into a lightpath between the nodes u and v in the physical topology (at the optical layer) such that failure of a physical link does not cause the logical topology to become disconnected. It is assumed that both the physical and logical topologies are at least two-edge connected. For this problem, two lines of investigation have been pursued in the literature: one pioneered by Modiano and Narula-Tam [Proc. IEEE INFO-COM, 2001, p. 348] and the other pioneered by Kurant and Thiran [Proc. Int. Conf. on Broadband Networks (BROAD-NETS), 2004, p. 44]. Since then there has been a great deal of research on this problem. Most of the works have not considered limitations imposed on the routings by physical capacity limits and other metrics in addition to survivability. In this paper, we first introduce two concepts: weakly survivable routing and strongly survivable routing. We then provide mathematical programming formulations for two problems. The first problem is to design a survivable lightpath routing that maximizes the logical demand satisfaction before and after a physical link failure. The second problem is to add spare capacities to the physical links to guarantee routability of all logical link demands before and after a physical link failure. We conclude with heuristics that mitigate the computational complexity of the mathematical programming formulations and with simulation results comparing these heuristics with the mathematical programming formulations.

KW - IP-over-WDM

KW - Logical topology routing

KW - Mathematical programming

KW - Survivability

UR - http://www.scopus.com/inward/record.url?scp=84896899863&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84896899863&partnerID=8YFLogxK

U2 - 10.1364/JOCN.6.000190

DO - 10.1364/JOCN.6.000190

M3 - Article

AN - SCOPUS:84896899863

VL - 6

SP - 190

EP - 203

JO - Journal of Optical Communications and Networking

JF - Journal of Optical Communications and Networking

SN - 1943-0620

IS - 2

M1 - 6739404

ER -