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On the stability of the Travelling Salesman Problem algorithm of Hopfield and Tank

Biological CyberneticsPublished 1 January 1988
Greg Wilson, G. S. Pawley
Citations549
SJR quartileQ2
SJR score0.52
SNIP0.78

TL;DR

The application of the method of Hopfield and Tank to the Travelling Salesman Problem has been re-examined in an effort to find a procedure for scaling to system sizes of real interest, but no satisfactory refinement was found and the reasons for algorithm failure have been identified.

Abstract

The application of the method of Hopfield and Tank to the Travelling Salesman Problem (1985) has been re-examined in an effort to find a procedure for scaling to system sizes of real interest. As this failed, methods were tried to improve the algorithm, recognizing the importance of a "silicon implementation". No satisfactory refinement was found, and the reasons for algorithm failure have been identified.

Keywords

Computer Science