## Abstract

SONET add-drop multiplexers (ADMs) are the dominant cost factor in SONET/WDM rings. The number of SONET ADMs required by a set of traffic streams is determined by the routing and wavelength assignment of the traffic streams. Following previous work, we consider the problem where the route of each traffic stream is given as input, and we need to assign wavelengths so as to minimize the total number of used SONET ADMs. This problem is known to be NP-hard, and the best known approximation algorithm for this problem has a performance guarantee of frac(3, 2). We improve this result, and present a frac(98, 69) ≈ 1.42029-approximation algorithm. We also study some of the previously proposed algorithms for this problem, and give either tight or tighter analysis of their approximation ratio.

Original language | English |
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Pages (from-to) | 122-136 |

Number of pages | 15 |

Journal | Journal of Computer and System Sciences |

Volume | 75 |

Issue number | 2 |

DOIs | |

State | Published - Feb 2009 |

## Keywords

- ADM minimization
- Approximation algorithms
- Optical network design

## ASJC Scopus subject areas

- Theoretical Computer Science
- Computer Networks and Communications
- Computational Theory and Mathematics
- Applied Mathematics