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Zbl 0679.90051
Lutton, Jean-Luc; Bonomi, Ernesto
Simulated annealing algorithm for the minimum weighted perfect Euclidean matching problem. (English)
[J] RAIRO, Rech. Opér. 20, 177-197 (1986). ISSN 0399-0559

Summary: A randomized heuristic derived from the Metropolis procedure is proposed to solve the minimum weighted matching problem. In the limit of large problems, the average behaviour of the minimum cost of the perfect matching in the two-dimensional Euclidean space is investigated for different probability distributions of points.
MSC 2000:
*90C27 Combinatorial programming
05C70 Factorization, etc.
65K05 Mathematical programming (numerical methods)

Keywords: simulated annealing; randomized heuristic; Metropolis procedure; minimum weighted matching

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