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DY: Dynamik und Statistische Physik

DY 10: Allgemeine Statistische Physik I

DY 10.4: Talk

Tuesday, March 18, 1997, 11:15–11:30, R1

Searching for Backbones - Ein effizienter paralleler Algorithmus für das Traveling Salesman Problem — •J. Schneider1, Ch. Froschhammer1, I. Morgenstern1, Th. Hußlein1, and J. M. Singer21Institut für Theoretische Physik, Universität Regensburg, Universitätsstr. 31, D-93053 Regensburg — 2Physikinstitut, Universität Zürich, CH-8057 Zürich

The Traveling Salesman Problem (TSP) plays an important role in Operations Research, Applied Mathematics and Computational Physics. We investigated it using a stochastic approach. Studying several solutions of a special TSP we found that many parts of a good solution are the same in all other good solutions for this problem. We discuss an efficient parallel method to reduce the TSP to a smaller one by finding these backbones and eliminating them to get even better solutions in a very short time and a few observables of interest corresponding to this parallel approach [1].

[1] J. Schneider, Ch. Froschhammer, I. Morgenstern, Th. Husslein, J. M. Singer, Computer Physics Communications 96 (2/3) (1996) 173–188

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