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JOURNALS // Vestnik TVGU. Seriya: Prikladnaya Matematika [Herald of Tver State University. Series: Applied Mathematics] // Archive

Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2017 Issue 4, Pages 59–71 (Mi vtpmk189)

System Analysis, Control and Data Processing

Optimization of the trade margin of the interdependent goods

G. M. Solomakha, E. V. Turkenich

Tver State University, Tver

Abstract: In article approach to making decision on the size of a trade margin on the realized goods for the enterprise of retail trade is offered and besides possible interdependence between the realized goods is considered. This approach is based on the cybernetic description of processes of functioning of the enterprise, and processes of realization of goods and their wholesale deliveries are described by dynamic converters, and functioning of trade enterprise is represented by the system of the differential equations. The economic sense of coefficients of the received differential equations is revealed, proceeding from it their possible concrete look is chosen. The analytical solution of the relevant system of the differential equations describing functioning of trade enterprise is found. The economic-mathematical model of optimization of the size of a trade margin is offered. Optimization of trade margins is carried out proceeding from criterion of maximizing the revenue of trade enterprise for the studied period. The example of calculation of size of a trade margin on the interdependent goods for two-grocery model of the enterprise which illustrates operability of the offered approach is given.

Keywords: economic-mathematical model, dynamic converter, trade enterprise, trade margin, optimization, interdependent products, decision-making, differential equation, revenue.

UDC: 658.8.031.2

Received: 20.11.2017
Revised: 05.12.2017

DOI: 10.26456/vtpmk189



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