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Phys. Rev. E 51, R1–R3 (1995)

Traveling salesman problem and Tsallis statistics

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T. J. P. Penna
Instituto de Física, Universidade Federal Fluminense, Outeiro de São João Batista, s/n, 24210 Niterói, Brazil

Received 16 August 1994; published in the issue dated January 1995

A generalization of the stochastic method of simulated annealing algorithm based on Tsallis statistics is proposed. This algorithm is considerably faster than the traditional ones in solving the traveling salesman problem. Acceptable solutions are found in fewer steps and higher temperatures than both the classical and the fast simulated annealings. Recent developments in solving NP-complete problems can be incorporated and improve the performance even more.

© 1995 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.51.R1
DOI:
10.1103/PhysRevE.51.R1
PACS:
02.50.Ey, 02.60.Pn, 05.70.Ln, 02.70.-c