A Potts Neuron Approach to Communication Routing

Research output: Contribution to journalArticle

Abstract

A feedback neural network approach to communication routing problems
is developed, with emphasis on Multiple Shortest Path problems,
with several requests for transmissions between distinct start- and
endnodes. The basic ingredients are a set of Potts neurons for each request,with interactions designed to minimize path lengths and to
prevent overloading of network arcs. The topological nature of the
problem is conveniently handled using a propagator matrix approach.
Although the constraints are global, the algorithmic steps are based
entirely on local information, facilitating distributed implementations.
In the polynomially solvable single-request case, the approach reduces
to a fuzzy version of the Bellman-Ford algorithm.
The method is evaluated for synthetic problems of varying sizes and
load levels, by comparing to exact solutions from a branch-and-bound
method, or to approximate solutions from a simple heuristic.
With very few exceptions, the Potts approach gives legal solutions of
very high quality. The computational demand scales merely as the
product of the numbers of requests, nodes, and arcs.

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  • Subatomic Physics
Original languageEnglish
Pages (from-to)1587-1599
JournalNeural Computation
Volume10
Publication statusPublished - 1998
Publication categoryResearch
Peer-reviewedYes