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JOURNALS // Diskretnyi Analiz i Issledovanie Operatsii // Archive

Diskretn. Anal. Issled. Oper., 2008 Volume 15, Issue 3, Pages 22–30 (Mi da531)

This article is cited in 3 papers

On decentralized transportation problem

V. T. Dement'ev, A. V. Pyatkin

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences

Abstract: A decentralized transportation problem is considered, where the customers act individually maximizing their own profit, while the producer can only determine the sequence of their service. It is shown that this problem is NP-hard. An aproximate polynomial algorithm with a guaranteed ratio is proposed in the case of the same demand values. Bibl. 3.

Keywords: transportation problem, bilevel programming, algorithmic complexity, NP-completeness, approximate algorithm.

UDC: 519.87+519.854

Received: 10.10.2007
Revised: 03.03.2008


 English version:
Journal of Applied and Industrial Mathematics, 2009, 3:1, 32–37

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