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Title: Routing and wavelength assignment for WDM multicast networks
Authors: He, Jingyi
Chan, Shueng-Han Gary
Tsang, Danny H. K.
Keywords: Linear programming
Multicast communication
Optical fibre networks
Telecommunication network routing
Trees (mathematics)
Wavelength division multiplexing
Issue Date: 2001
Citation: Proceedings IEEE Global Telecommunications Conference, 2001. GLOBECOM '01. Texas, U.S.A., 25-29 Nov. 2001, v. 3, p. 1536-1540
Abstract: The multicast routing and wavelength assignment (MC-RWA) problem is generally studied with the objective of maximizing the number of multicast groups admitted, or equivalently, to minimize the call (or session) blocking probability given a certain number of wavelengths. While this approach is sound, a better objective is to maximize the total number of users served (i.e., minimizing the user blocking probability) by allowing part of a multicast group to be admitted. We present for the first time a formulation of the MC-RWA problem with such an objective. The formulation is a nonlinear integer program, which in general is complex to solve. We therefore propose a heuristic algorithm based on linear programming (LP). We further develop a simpler MAX-FIRST algorithm, which achieves almost the same performance as the LP algorithm. These algorithms are for static MC-RWA, where the multicast trees are predetermined and cannot be changed during the wavelength assignment. We extend the algorithms to dynamic MC-RWA, where new multicast trees can be built for unserved groups. We finally present upper and lower bounds on the user blocking probability for the static MC-RWA.
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