A geometric routing model of the territorial oligopolistic market for cargo transportation by road from logistics freight distribution centers to consumers has been built. In accordance with the cost of transportation and on the basis of the coefficient of road non-straightness, which adequately reflects the specifics of the transport network, “influence areas” were found for distribution centers competing in the regional transport and logistics market. The curves separating the “influence areas” turn out to be algebraic curves of the fourth order, namely, Descartes oval. With the help of a computer algebra system, a mathematically substantiated territorial picture of the competitive environment created by the distribution centers under consideration was obtained, and an analysis of the intensity of competition was carried out.

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Geometric Routing Model in Research of Functioning the Logistical-Type Freight Distribution Centers

  • M. V. Kolesnikov,
  • V. M. Zadorozhniy,
  • M. V. Bakalov,
  • V. A. Bogachev,
  • T. V. Bogachev

摘要

A geometric routing model of the territorial oligopolistic market for cargo transportation by road from logistics freight distribution centers to consumers has been built. In accordance with the cost of transportation and on the basis of the coefficient of road non-straightness, which adequately reflects the specifics of the transport network, “influence areas” were found for distribution centers competing in the regional transport and logistics market. The curves separating the “influence areas” turn out to be algebraic curves of the fourth order, namely, Descartes oval. With the help of a computer algebra system, a mathematically substantiated territorial picture of the competitive environment created by the distribution centers under consideration was obtained, and an analysis of the intensity of competition was carried out.