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The landscape of the traveling salesman problem

Physics Letters APublished 1 January 1992
Peter F. Stadler, Wolfgang Schnabl
Citations131
SJR quartileQ2
SJR score0.46
SNIP0.81

TL;DR

The landscape of traveling salesman problems is investigated by random walk techniques and the autocorrelation functions for different metrics on the space of tours are calculated and turns out to be AR(1) for symmetric TSPs.

Abstract

The landscapes of traveling salesman problems are investigated by random walk techniques. The autocorrelation functions for different metrics on the space of tours are calculated. The landscape turns out to be AR(1) for symmetric TSPs. For asymmetric problems there can be a random contribution superimposed on an AR(1) behaviour.

Keywords

Computer ScienceMathematicsBiochemistry, Genetics and Molecular Biology