Mathematical models of a distributed market and a flow-distribution problem in the theory of hydraulic networks

Authors
Citation
Ag. Kovalenko, Mathematical models of a distributed market and a flow-distribution problem in the theory of hydraulic networks, J COMP SYST, 40(4), 2001, pp. 591-598
Citations number
13
Categorie Soggetti
AI Robotics and Automatic Control
Journal title
JOURNAL OF COMPUTER AND SYSTEMS SCIENCES INTERNATIONAL
ISSN journal
10642307 → ACNP
Volume
40
Issue
4
Year of publication
2001
Pages
591 - 598
Database
ISI
SICI code
1064-2307(200107/08)40:4<591:MMOADM>2.0.ZU;2-#
Abstract
Mathematical models of a multiproduct market consisting of related distribu ted single-product markets are considered. The subjects of markets are ente rprises that supply their products to one of these single-product markets, playing the role of sellers, and consume the products of other enter rises, playing the role of purchasers, as well as ultimate consumers and dealers that perform intermediary operations and transport the products. The model proposed describes a multiproduct market in an equilibrium state. The appli cability of the methods for determining the equilibrium state that are base d on the mathematical methods of the theory of hydraulic networks is analyz ed. It is shown that the model of a distributed single-product market in an equilibrium state can be described by a nonlinear single-criterion transpo rtation problem in the network statement.