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A quantitative analysis of the simulated annealing algorithm: A case study for the traveling salesman problem

Journal of Statistical PhysicsPublished 1 January 1988
Emile Aarts, Jan Korst, Peter J. M. van Laarhoven
Citations129
SJR quartileQ2
SJR score0.67
SNIP1.00

Abstract

A quantitative study is presented of the typical behavior of the simulated annealing algorithm based on a cooling schedule presented previously by the authors. The study is based on the analysis of numerical results obtained by systematically applying the algorithm to a 100-city traveling salesman problem. The expectation and the variance of the cost are analyzed as a function of the control parameter of the cooling schedule. A semiempirical average-case performance analysis is presented from which estimates are obtained on the expectation of the average final result obtained by the simulated annealing algorithm as a function of the distance parameter, which determines the decrement of the control parameter.

Keywords

Computer ScienceEngineering