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
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.