Mathematical simulation of the cargoes delivery on an extensive network of automobile roads

Вестник МГСУ 7/2014
  • Khayrullin Rustam Zinnatullovich - Moscow State University of Civil Engineering (MGSU) Doctor of Physical and Mathematical Sciences, Professor, Department of Higher Mathematics, Moscow State University of Civil Engineering (MGSU), 26 Yaroslavskoe Shosse, Moscow, 129337, Russian Federation; Этот e-mail адрес защищен от спам-ботов, для его просмотра у Вас должен быть включен Javascript .

Страницы 184-191

The problem of calculation of an optimal route is important for companies, including civil engineering companies, wishing to reduce transportation costs of cargoes delivery. The existing regional distribution network of automobile roads is characterized, as a rule, by an extensive network of roads of varying quality, traffic capacity, large distances between consignors and consignees, small warehouse areas, disabled vehicle fleet. In this way companies seek to increased profits by means of solving complex problems such as: reducing the costs of transportation and storage of cargoes, reducing the number of vehicles fleet, using optimal vehicles schedule. Note that in this paper, the term optimal is not used in the strict mathematical sense (optimal - which can’t be improved), but as an established business application in a term describing the effectiveness and efficiency of the process of cost reduction. Common formulation of cargoes delivery optimization problem from consignor to consignee by motor transport is offered. Mathematical models and methods of cargoes delivery on an extensive network of roads are provided. The method consists in gradual solving of three problems: the problem of dividing the region into zones detour in one trip, the traveling salesman problem and the problem of forming a daily job for each unit of vehicle. The software for solving this problem is developed. The software is based on the complex of developed algorithms and standard software tools. The software permits: to calculate the optimal (in terms of transport costs and time costs) routes, schedules and delivery schemes of cargoes from consignor to consignee; to perform the optimal choice of consignor for each consignee by means of calculation of the minimum total cost of the storage and cost of its delivery; to ensure optimal filling of order in time and to ensure a full loading of cargo motor vehicles. Some results of software implementation are described.

DOI: 10.22227/1997-0935.2014.7.184-191

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