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JOURNALS // Journal of Computational and Engineering Mathematics // Archive

J. Comp. Eng. Math., 2019 Volume 6, Issue 1, Pages 68–73 (Mi jcem141)

This article is cited in 1 paper

Short Notes

Mathematical model for solving operational problem of regional cargo transportation

A. V. Panyukov, Yu. V. Pivovarova, Kh. Z. Chaloob

South Ural State University, Chelyabinsk, Russian Federation

Abstract: The task of operatively to provide cargo transportation with the given kinds of available vehicles is actual at operative planning of work of logistic centres. In the case of non-transit transporting planning, the amount of available vehicles is critical, which in some cases does not allow the fulfilment of orders to the full extent. The use of transit transport allows to reduce the volume of unfulfilled orders. The article presents a formal setting of the given problems in the form of multi-index problems of linear programming. Special cases of problems, which allow to use effective algorithms for their solution, are noted.

Keywords: transport logistics, distribution task, transport task, graph, incident matrix, linear programming.

UDC: 519.863

MSC: 80M50

Received: 09.03.2018

Language: English

DOI: 10.14529/jcem190107



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