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Modeling of the rail freight traffic by the method of economic-geographical delimitation in the region of the south-easter coast of the Baltic Sea

Chislov Oleg, Bogachev Viktor, Zadorozhniy Vyacheslav, Demchenko Oleg, Khan Vladimir, Bogachev Taras

Transport Problems

2019

T. 14, z. 2

77--87

The results of further research on the creation of a mathematical model of railway freight traffic carried out in a regional transport and technological system are presented. The proposed logistic approach is applied to the issues of optimizing the management of transportation directed to ports located on the southeast coast of the Baltic Sea. Built on the basis of a comprehensive assessment of the transport infrastructure of the region under consideration and the performance of the operating company, the mathematical model provides ample opportunities to address issues of regulating of transportation. The method of economic and geographical delimitation of the ≪influence areas≫ of loading stations is significantly developed both in terms of using the geometric properties of higher order algebraic curves and in terms of a deeper approach to studying the transportation process. The results of the research can serve as one of the basis for improving the economic efficiency of the functioning of international transport corridors in the framework of multimodal transport.

Economic–geographical method delimiting wagon flows in the region considered: model and algorithm

Chislov O., Bogachev V., Zadorozhniy Zadorozhniy., Bogachev T.

Transport Problems

2018

T. 13, z. 2

39--48

The problem of effective management of the railway freight flows in the conditions of the multiplicity of operators requires the rationalization of the transportation process. The further development of the authors’ research on creating the mathematical model of the railway freight flows in the region transportation and technological system is presented. For the first time, the theory of algebraic curves of higher orders is used to create a territorial model of the oligopolistic market of freight traffic. The algorithm for creating a model of freight transportation is based on the analysis of the qualitative and quantitative indicators of the operator company in the considered region with the use of analytical, heuristic, and graphic capabilities of math software. The theoretical substantia-tion of the territorial picture, the freight transportation market in the region is obtained. The carried-out research allows to specify possible ways of optimization of freight traffic distribution.

Limacon of Pascal as an anamorphic image of a circle

Zdziarski A., Pałka A.

Journal Biuletyn of Polish Society for Geometry and Engineering Graphics

2011

Vol. 22

3--6

The content of this paper relates to cylindrical reflective anamorphs. In particular, a horizontally positioned circle on a cylindrical surface will be transformed into a Limacon of Pascal. Graphical and analytical proof of the construction has been provided.

Niniejsza praca dotyczy przypadku zwierciadlanych anamorfoz refleksyjnych powierzchniowych. W szczególności przeprowadzono graficzny i analityczny dowód pewnej własności przekształcenia anamorficznego, z którego wynika, iż obrazem poziomego okręgu leżącego na powierzchni zwierciadła walcowego jest krzywa 4-go rzędu, a konkretnie jest nią ślimak Pascala.