Geometric routing model in finding rational distributions of empty wagonflows in port transport-technological system

In recent years, there has been an active redirection of the bulk of cargo-and wagon flows originating in the economic space of Russia to the countries of the Asian and African continents. The specified transport and logistics «turn» is of a strategic nature and, apparently, will be long-lasting. There is no doubt that the ongoing changes help to increase the level of relevance of relevant transport and logistics research. The importance of approaches and methods, the development of which is based on new mathematically justified logistics ideas, is increasing. The previously proposed approaches do not lose their significance, subject to their development, modification and adaptation to the ongoing economic and geographical changes occurring in relation to the transportation process as a whole. At the same time, practically significant, first of all, are the results of research, which represent theoretically substantiated transport and logistics schemes of a general nature, the implementation of which makes it possible to activate the mechanism of market functioning (concerning this paper, this is, first of all, the market for operating wagons). Drawing attention to the multimodality of the vast majority of economically significant freight transportation, we note that due to the very design of the modern transportation process, the objects that are especially in demand in conducting the above researches are port-side transport and technological systems.
The purpose of this research is to develop a mathematically sound and practical approach to transport and logistics modeling of the process of regulating wagon flows at a railway loop. The theoretical basis is a modification of the economic-geographical delimitation method of the «influence areas» of transportation process subjects developed by the authors previously. The main component of the new model is the coefficient of road non-straightness, introduced for the considered railway stations for the departure of wagons. The specified coefficient makes it possible to take into account the specific location of the transport network in relation to possible destination stations.
The result of the research is a geometric routing model of the territorial oligopolistic market for services for the transportation of empty wagons, formed by the departure stations under consideration. The model is implemented in the environment of the computer mathematics system Maxima (Free Ware).

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