## Abstract

Minimizing the number of add-drop multiplexers (ADMs) in a unidirectional SONET ring can be formulated as a graph decomposition problem. When traffic requirements are uniform and all-to-all, groomings that minimize the number of ADMs (equivalently, the drop cost) have been characterized for grooming ratio at most six. However, when two different traffic requirements are supported, these solutions do not ensure optimality. In two-period optical networks, n vertices are required to support a grooming ratio of C in the first time period, while in the second time period a grooming ratio of C′, C′ < C, is required for v ≤ n vertices. This allows the two-period grooming problem to be expressed as an optimization problem on graph decompositions of K_{n} that embed graph decompositions of K_{v} for v ≤ n. Using this formulation, optimal two-period groomings are found for small grooming ratios using techniques from the theory of graphs and designs.

Original language | English (US) |
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Pages (from-to) | 307-324 |

Number of pages | 18 |

Journal | Networks |

Volume | 52 |

Issue number | 4 |

DOIs | |

State | Published - Dec 2008 |

## Keywords

- Combinatorial designs
- Graph decomposition
- Optical networks
- Traffic grooming

## ASJC Scopus subject areas

- Information Systems
- Computer Networks and Communications