Mathematical Models Concerning Location of Vehicular Gas-Filling Stations within Cities

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Kuznetsov A.P. (2016). Factor Analysis of Passenger Cars Using as a Taxi. Mechanics, Materials Science & Engineering, Vol 7. doi:10.2412/mmse.52.18.599

Authors: Kuznetsov A.P.

ABSTRACT. The optimal criterion concerning NGV-RCSs locations in the cities and the mathematical model of vehicle flow distribution on the road network of cities were analysed. It has been determined that optimization of NGV-RCS locations is a multi-criterion problem having no definite solution. The criterion for solving the problem can be the number of vehicle flows within street and road network which requires solving the problem of forecast, in turn, the forecasting problem consists of two subproblems – formation of vehicle flows and optimization of vehicle flow distribution within street and road network. The problems are of NP type, moreover, there are no algorithms making it possible to obtain accurate solutions.

Keywords: optimality criterion, location, NGV-RCS, distribution of vehicle flows, modelling, vehicle flow

DOI 10.2412/mmse.52.18.599


[1] Govorushchenko N. Ya. System technique to design transport machines / N. Ya. Govorushchenko, А. N. Turenko. – Kharkov, KhNASU, 2004. – 206 pp.

[2] Semionov V. V. Mathematical methods for transport flows modeling // Non-linear world. – 2005. – #6. – Pp. 48–52.

[3] Lobanov Е.М. Problems of imitation modeling of transport flows movement within street and road city networks and highway system / Е.М. Lobanov // Theoretical and practical problems of automobile and road system development in Russia. – Moscow: MTUSI , 2006. – Pp. 4–7.

[4] Shvetsov V.I. Mathematical modeling of transport flows / V.I. Shvetsov // Automation and telemechanics. – 2003. – #11. – Pp. 41–48.

[5] Smirnov N.N. Mathematical modeling of transport flows / N. N. Smirnov, А. B. Kiseliov, V. F. Nikitin. – Moscow, MSU, 1999. – Pp. 39–47.

[6] Chowdhury D. Statistical physics of vehicular traffic and some related systems / Chowdhury D., Santen L., Schadschneider A. // Physical Reports. – 2000. – Vol. 329. – P. 199–329.

[7] Cremer M. A fast simulation model for traffic flow on the basis of Boolean operations / Cremer M., Ludwig J. // Mathematical Computing Simulation. – 1986. –  Vol. 28. – P. 297–303.

[8] Binder P.M. Stochastic model of car routing / Binder P.M., Paczuski M., Barma M. // Physical Review. – 1997. – Vol. 49. – P. 1174.

[9] Daganzo C.F. Remarks on Traffic Flow Modelling and its Applications / Daganzo C.F. // Berkeley: Department of Civil and Environmental Engineering University of California. – 2001. – 489 p.

[10] Nagel K. Still flowing: Approaches to traffic flow and traffic jam modeling / Nagel K., Wagner R., Woesler R.: Grow Hill, 2003. – 317 p.

[11] Holland J.F. Adaptation in natural and artificial systems. An introductory analysis with application in biology, control and artificial intelligence / Holland J.F. – London: Bradford book edition, 1994. – 211 p.

[12] Kolesov V.I. Dynamic characteristics of uniform transport flow / V. I. Kolesov, S. P. Kolesnikov, G. V. Kolesov // Transport problems of West-Siberian gas and oil producing complex: Interuniversity collection of scientific papers. – Tyumen, Vector Buk, 2002. – Pp. 130–136.

[13] Spirin I.V Management and control of passenger vehicle transportation. / I.V.Spirin. – Moscow, Akademia, 2014. – 400 pp.


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