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


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Abstract

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.

About the authors

Yu. A. Kochetov

Novosibirsk State University; Sobolev Institute of Mathematics, Siberian Branch

Author for correspondence.
Email: jkochet@math.nsc.ru
Russian Federation, Novosibirsk; Novosibirsk

A. A. Panin

Novosibirsk State University; Sobolev Institute of Mathematics, Siberian Branch

Email: jkochet@math.nsc.ru
Russian Federation, Novosibirsk; Novosibirsk

A. V. Plyasunov

Novosibirsk State University; Sobolev Institute of Mathematics, Siberian Branch

Email: jkochet@math.nsc.ru
Russian Federation, Novosibirsk; Novosibirsk

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