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Design of Logical Topologies: a Linear Formulation for Wavelength Routed Optical Networks with No Wavelength Changers

Krishnaswamy, Rajesh M and SivaKajan, Kumar N (1998) Design of Logical Topologies: a Linear Formulation for Wavelength Routed Optical Networks with No Wavelength Changers. In: IEEE : INFOCOM '98. Seventeenth Annual Joint Conference of the IEEE Computer and Communications Societies, 29 March-2 April, San Francisco,USA, Vol.2, 919 -927.


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In this paper we present a exact linear formulation (mixed integer linear program) for designing a logical topology with no wavelength changers. Since the objective of our linear formulation is minimizing the maximum offered load on any link, which is called congestion, the resulting logical topology reflects the traffic intensities between the nodes. Our linear formulation yields a logical topology and routing and wavelength assignment for the logical links. Previously (see IEEE Journal on Selected Areas in Communications, vol.40, no.1, p.840-51, 1996) the problem of logical topology design is considered but the number of wavelengths the fiber can support is not a constraint. In this paper we take into consideration the number of wavelengths the fiber supports, the hop length of a logical link, and show the trade-offs involved in minimizing congestion. Since the whole problem is linearizable the solution obtained by relaxation of the integer constraints yields a lower bound on the congestion. This can be used to compare the efficiency of heuristic algorithms. We solve the problem exactly for a small size network and for large size networks we develop some heuristic algorithms to obtain a feasible solution using the solution obtained by relaxing the integer constraints. We introduce a cutting plane which enables us to reduce the previously obtained upper bounds on congestion. Numerical results for a six node wide area network and the National Science Foundation Network (NSFNET) are presented for various cases.

Item Type: Conference Paper
Publisher: IEEE
Additional Information: Copyright 1990 IEEE. 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.
Department/Centre: Division of Electrical Sciences > Electrical Communication Engineering
Date Deposited: 10 Apr 2006
Last Modified: 19 Sep 2010 04:25
URI: http://eprints.iisc.ac.in/id/eprint/6213

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