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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2010 Volume 50, Number 1, Pages 24–37 (Mi zvmmf4809)

This article is cited in 14 papers

On the rate of convergence of the simulated annealing algorithm

A. S. Tikhomirov

Novgorod State University, ul. Bol'shaya Sankt-Peterburgskaya 41, Novgorod, 173003 Russia

Abstract: The convergence rate of the simulated annealing algorithm is examined. It is shown that, if the objective function is nonsingular, then the number of its evaluations required to obtain the desired accuracy $\varepsilon$ in the solution can be a slowly (namely, logarithmically) growing function as $\varepsilon$ approaches zero.

Key words: simulated annealing algorithm, random search, global optimization, estimate of convergence rate.

UDC: 519.626

Received: 07.09.2007
Revised: 30.12.2008


 English version:
Computational Mathematics and Mathematical Physics, 2010, 50:1, 19–31

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