Genetic local search and hardness of approximation for the server load balancing problem


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We consider a well-known NP-hard server load balancing problem. We study the computational complexity of finding approximate solutions with guaranteed accuracy estimate. We show that this problem is Log-APX-hard with respect to PTAS reductions. To solve the problem, we develop an approximate method based on the ideas of genetic local search. We show results of computational experiments.

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Yu. Kochetov

Novosibirsk State University; Sobolev Institute of Mathematics, Siberian Branch

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Email: jkochet@math.nsc.ru
俄罗斯联邦, Novosibirsk; Novosibirsk

A. Panin

Novosibirsk State University; Sobolev Institute of Mathematics, Siberian Branch

Email: jkochet@math.nsc.ru
俄罗斯联邦, Novosibirsk; Novosibirsk

A. Plyasunov

Novosibirsk State University; Sobolev Institute of Mathematics, Siberian Branch

Email: jkochet@math.nsc.ru
俄罗斯联邦, Novosibirsk; Novosibirsk

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