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Computer Research and Modeling, 2012, Volume 4, Issue 2, Pages 431–450
DOI: https://doi.org/10.20537/2076-7633-2012-4-2-431-450
(Mi crm500)
 

MODELS OF ECONOMIC AND SOCIAL SYSTEMS

Mathematical modeling of the optimal market of competing goods in conditions of deliveries lags

V. V. Poddubny, O. V. Romanovich

Tomsk State University, 36 Lenina avenue, Tomsk, 634050, Russia
References:
Abstract: The nonlinear restrictive (with restrictions of the inequalities type) dynamic mathematical model of the committed competition vacant market of many goods in conditions of the goods deliveries time-lag and of the linear dependency of the demand vector from the prices vector is offered. The problem of finding of prices and deliveries of goods into the market which are optimal (from sellers profit standpoint) is formulated. It is shown the sellers total profit maximum is expressing by the continuous piecewise smooth function of vector of volumes of deliveries with breakup of the derivative on borders of zones of the goods deficit, of the overstocking and of the dynamic balance of demand and offer of each of goods. With use of the predicate functions technique the computing algorithm of optimization of the goods deliveries into the market is built.
Keywords: mathematical modeling, market of many goods, price, demand, offer, lag of deliveries, discrete time, dynamics, nonlinearity, seller's profit, piecewise smoothness, optimization algorithm.
Received: 18.04.2012
Document Type: Article
UDC: 519.865
Language: Russian
Citation: V. V. Poddubny, O. V. Romanovich, “Mathematical modeling of the optimal market of competing goods in conditions of deliveries lags”, Computer Research and Modeling, 4:2 (2012), 431–450
Citation in format AMSBIB
\Bibitem{PodRom12}
\by V.~V.~Poddubny, O.~V.~Romanovich
\paper Mathematical modeling of the optimal market of competing goods in
conditions of deliveries lags
\jour Computer Research and Modeling
\yr 2012
\vol 4
\issue 2
\pages 431--450
\mathnet{http://mi.mathnet.ru/crm500}
\crossref{https://doi.org/10.20537/2076-7633-2012-4-2-431-450}
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