Systems and Means of Informatics
2018, Volume 28, Issue 2, pp 170-177
THE MODEL OF FLOWS DISTRIBUTION IN A SINGLE-PRODUCT NETWORK SYSTEM
Abstract
A linear model of the flows distribution in a single-product network system is proposed. The model is represented in the form of a system of mandatory and orienting rules, including a set of linear functions describing the distribution of product flows moving along the network arcs, depending on the product quantity sent from the producing nodes and the product quantity delivered to the consumption nodes. The system of rules reflects the physical and technological characteristics of the object (balance in the network nodes, limits of the arcs' capacity, etc.). To find the model's parameters, the method of targeted displacement of solution is applied. The measurements of quantities used in the problem solution are synchronously performed at the points of contiguity of the network's arcs to the nodes.
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[+] About this article
Title
THE MODEL OF FLOWS DISTRIBUTION IN A SINGLE-PRODUCT NETWORK SYSTEM
Journal
Systems and Means of Informatics
Volume 28, Issue 2, pp 170-177
Cover Date
2018-05-30
DOI
10.14357/08696527180213
Print ISSN
0869-6527
Publisher
Institute of Informatics Problems, Russian Academy of Sciences
Additional Links
Key words
single-product network system; linear model of flows distribution; accounting of physical and technological characteristics of the object; system of mandatory and orienting rules; method of targeted displacement of solution
Authors
A. V. Ilyin  and V. D. Ilyin 
Author Affiliations
State Research Institute of Aviation Systems, 7 Viktorenko Str., Moscow 125319, Russian Federation
A. A. Dorodnicyn Computing Center, Federal Research Center "Computer Sciences and Control" of the Russian Academy of Sciences; 40 Vavilov Str., Moscow 119133, Russian Federation
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