DocumentCode :
1513436
Title :
Converter placement supporting broadcast in WDM optical networks
Author :
Ruan, Lu ; Du, Dingzhu ; Hu, Xiaodong ; Jia, Xiaohua ; Li, Deying ; Sun, Zheng
Author_Institution :
Dept. of Comput. Sci. & Eng., Minnesota Univ., Minneapolis, MN, USA
Volume :
50
Issue :
7
fYear :
2001
fDate :
7/1/2001 12:00:00 AM
Firstpage :
750
Lastpage :
758
Abstract :
Given a WDM optical network with wavelength channels on its fiber links, we consider the problem of finding the minimum set of network nodes such that, with wavelength converters at these nodes, broadcast can be supported in the network. We call this problem the converter placement problem. We model a given network using a graph G with colors on its edges and give a mathematical formulation for the problem based on the graph model. Two related problems, color-covering and vertex color-covering, are given and analyzed. Both of them are shown to have a polynomial-time approximation with performance ratio ln n+1 and ln n is the best possible performance ratio unless NP ⊂ DTIME(npoly log n), where n is the number of vertices in G. Using these results, we show that the Converter Placement problem has a polynomial-time approximation with performance ratio 2(ln n+1) and ½ ln n is the best possible performance ratio unless NP ⊂ DTIME(npoly log n ). We present an approximation algorithm to solve the converter placement problem and study the performance of the algorithm on randomly generated network topologies
Keywords :
optical communication; wavelength division multiplexing; WDM optical networks; approximation algorithm; color-covering; converter placement; fiber links; mathematical formulation; performance ratio; polynomial-time approximation; randomly generated network topologies; vertex color-covering; wavelength channels; wavelength converters; Broadcasting; Intelligent networks; Mathematical model; Optical fiber networks; Optical wavelength conversion; Polynomials; WDM networks; Wavelength converters; Wavelength division multiplexing; Wavelength routing;
fLanguage :
English
Journal_Title :
Computers, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9340
Type :
jour
DOI :
10.1109/12.936240
Filename :
936240
Link To Document :
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