login

N-city traveling salesman problem: Optimization by simulated annealings

Journal of Statistical PhysicsPublished 1 December 1986
R. E. Randelman, Gary S. Grest
Citations30
SJR quartileQ2
SJR score0.67
SNIP1.00

TL;DR

It is shown that the length of tour depends logarithmically on the cooling rateQ in a simulated Monte Carlo anneal, and it is speculated that this is a general property of all Np-complete problems.

Abstract

The problem of finding the shortest closed path connectingN randomly chosen points is one of the classicNp-complete problems. We show that the length of tour depends logarithmically on the cooling rateQ in a simulated Monte Carlo anneal. We speculate that this is a general property of allNp-complete problems.

Keywords

Computer ScienceEngineering