Increasing effectiveness of the transportation network by using the automation of a Voronoi diagram

The present article covers the problem of optimization of transport terminal service area zones of city districts and freight delivery from the logistics centres, which is a priority task at the present time. To solve this problem, it is suggested to apply the Voronoi model adapted for transportation network. The model is developed with the geometrical instrumentation applied to find the map of the shortest distances. The development includes the space being subdivided into clusters. Mathematical formulation a the cluster model can vary depending on the city size. The larger the city is, the bigger the number and sizes of the clusters are. Standard Voronoi model satisfies some properties that are given in this article.To solve this problem, a module of the MATLAB software suite was used, in particular, the algorithm of constructing of Voronoi polygons. The capabilities of the software allowed carrying out the cluster analysis, and, on the basis of the comparative analysis, calculating a number of values that reflect the spatial arrangement.To arrange the effective operation of the transportation corridors, a direct interaction with logistics centers is necessary. They ensure the prompt delivery of the freight in the quantity required, without creating any obstructions in the network. Moreover, it is necessary to take into consideration economic factors, in particular, the decrease of: the fuel consumption rate, the average distance run of the rolling stock, a number of loading and unloading stations for the service activities of certain zones. To provide a complex solution of the designated problem, it is necessary to create systems of prompt management of operation of freight transportation, systems of forwarding services and implementation of methods that are able to reduce the load of the street and road network by means of the expert distribution of the freight traffic flows, to ensure reduction of ecological pressure, to find the more economic transportation variants. (C) 2018 The Authors. Published by Elsevier B.V.