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Algorithms for Routing and Wavelength Assignment Based on Solutions of LP-Relaxations

Krishnaswamy, Rajesh M and Sivarajan, Kumar N (2001) Algorithms for Routing and Wavelength Assignment Based on Solutions of LP-Relaxations. In: IEEE Communications Letters, 5 (10). pp. 435-437.


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In this letter, we consider the problem of maximizing the number of lightpaths that may be established in awavelength routed optical network (WRON), given a connection matrix, i.e., a static set of demands, and the number of wavelengths the fiber supports. The problem of establishing all the connections of the connection matrix using the fewest number of wavelengths has been investigated in [3], [6]. We call the former problem Max-RWA (problem of maximizing the number of lightpaths) and the latter problem Min-RWA (minimizing the number of wavelengths). In this letter, we only consider WRONs with no wavelength conversion capabilities. We formulate the Max-RWA problem when no wavelength conversion is allowed as an integer linear programme (ILP) which may be solved to obtain an optimum solution. We hope to solve the ILP exactly for small size networks (few nodes). For moderately large networks (tens of nodes) we develop algorithms based on solutions obtained by solving the LP-relaxation of the ILP formulation. Results obtained for networks such as NSFNET and EONNET are presented.

Item Type: Journal Article
Publication: IEEE Communications Letters
Publisher: IEEE
Additional Information: ©2001IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.
Keywords: Linear programming;Networking;Wavelength division multiplexing.
Department/Centre: Division of Electrical Sciences > Electrical Communication Engineering
Date Deposited: 22 Aug 2008
Last Modified: 19 Sep 2010 04:16
URI: http://eprints.iisc.ac.in/id/eprint/1916

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