THE FORMULATION OF THE ECONOMIC AND MATHEMATICAL MODEL OF SERVING SYSTEM ON THE EXAMPLE OF PUBLIC TRANSPORT BUS TRAFFIC MANAGEMENT


Cite item

Full Text

Abstract

The paper considers and implements a serving system on the example of a particular management task of the system of a public transport bus run. This system plays the important role in the sphere of economics and everyday life where, on the one hand, mass requirements for the performance of certain services occur, and, on the other hand, these requests are being satisfied. The author determined the principles of the operational efficiency of the system, which affect the optimization of traffic flow, defined the basic elements and developed the algorithm of work of the system with the formation of input and output data. The paper formulates the economic and mathematical model, where with the help of specially developed software code and using the possibilities of C++ tools, the modeling happens, particularly, in terms of satisfaction of passenger requirements coming into this system. Special features are taken into account within the computer program that makes the simulation model an effective tool for decision-making in the conditions of uncertainty. In addition to the description of the model, the paper presents the results of the calculations in graphical and tabular views to use them for the visual demonstration of the options of the situation results. The simulation model, which imitates the passenger pick-up and drop-off, is designed to collect the queue statistics and to find the random variable distribution. According to the results of the study, the solution of the task for simulation of the events at the bus stop is received. This model gives an opportunity to plan the events at the bus stop in order to achieve the uniformity of load and the route dynamism, to identify the capacity problems that have the negative impact on the transport cycle operation.

About the authors

Margarita Vladislavovna Kravtsova

National Research University “Higher School of Economics”, Moscow

Author for correspondence.
Email: mkravcova@hse.ru

postgraduate student

Russian Federation

References

  1. Loginova N.A., Pyrvanov Kh.P. Organizatsiya predprinimatelskoy deyatelnosti na transporte [The organization of business activity in transport]. Moscow, Infra-M Publ., 2013. 260 p.
  2. Dzhaarbekov S.M. Bukhgalterskiy uchet, nalogi, khozyaystvennoe pravo [Accounting, taxes, business law]. Moscow, SBI Publ., 2001. 733 p.
  3. Mirotin L.B. Logistika v avtomobilnom transporte [Logistics in road transport]. Moscow, FENIKS Publ., 2015. 240 p.
  4. Troitskaya N.A., Chubukov A.B. Edinaya transportnaya sistema [Integrated transport system]. Moscow, Akademiya Publ., 2013. 240 p.
  5. Rossiyskiy statisticheskiy ezhegodnik. 2017 [Russian statistical sourcebook. 2017]. Moscow, Rosstat Publ., 2017. 725 p.
  6. Cats O., Larijani A., Koutsopoulos H.N., Burghout W. Impacts of Holding Control Strategies on Transit Performance. Bus Simulation on Transit Performance. Transportation Research Record, 2011, no. 2216, pp. 51–58.
  7. Guial K.L.L., Bantang J.Y., Saloma C.A. Identifying critical transient traffic intensity in a queuing system. Proceedings of the Samahang Pisika ng Pilipinas. Philippines, Western Digital Publ., 2017, pp. 20–25.
  8. Andersson P.-A., Hermansson A., Tengvald E., Scalia-Tomba G.-P. Analysis and simulation of an urban bus route. Transportation Research Part A: General, 1979, vol. 13, no. 6, pp. 439–466.
  9. Stepanchenko I.V., Krushel E.G., Panfilov A.E. The Passengers’ Turnout Simulation for the Urban Transport System Control Decision-Making Process. Communications in computer and information science: conference on creativity in intelligent technologies and data science. Volgograd, Springer Link Publ., 2017, pp. 389–398.
  10. Yudin S.V. Matematika i ekonomiko-matematicheskie modeli [Mathematics and economic-mathematical models]. Moscow, Infra-M Publ., 2016. 376 p.
  11. Stubbs P.C., Tyson W.J., Dalvi M.Q. Transport Economics. London, Routledge Publ., 2017. 226 p.
  12. Erofeenko V.T., Kozlovskaya I.S. Uravneniya s chastnymi proizvodnymi i matematicheskie modeli v ekonomike [Partial differential Equations and mathematical models in Economics]. Moscow, Ogni Publ., 2016. 310 p.
  13. Wallis I., Lawrence A. Forecasting Perth’s public transport patronage: econometric analysis and model development. Australasian Transport Research Forum. Australia, Department of Infrastructure and Regional Development Publ., 2016, pp. 15–22.
  14. Ablanskaya L.V., Babeshko L.O., Bausov L.I. Ekonomiko-matematicheskoe modelirovanie [Economic-mathematical modeling]. Moscow, Ekzamen Publ., 2014. 800 p.
  15. Zhao F., Li M.-T., Chow L.-F., Zhang H. Simulation Model for Estimating Bus Dwell Time by Simultaneously Considering Numbers of Disembarking and Boarding Passengers. Transportation Research Record, 2006, no. 1971, pp. 59–65.
  16. Bakul K., Pal M. Bulk Service Queuing System with Impatient Customers: A Computational Approach. Thailand Statistician, 2017, vol. 15, no. 1, pp. 1–10.
  17. Lee D.H. A note on the optimal pricing strategy in the discrete-time Geo/Geo/1 queuing system with sojourn time-dependent reward. Operations Research perspectives, 2017, vol. 4, pp. 113–117.
  18. Graham B.S. An econometric model of network formation with degree heterogeneity. Econometrica, 2017, vol. 85, no. 4, pp. 1033–1063.
  19. Caspersen E., Johansen B.G., Hovi I.B., Jong G. Norwegian Logistics Model: Moving from a deterministic framework to a random utility model. TOI Report, 2016, no. 1538, pp. 60–69.
  20. Cowie J., Ison S. The Routledge Handbook of Transport Economics. London, Routledge Publ., 2018. 440 p.

Supplementary files

Supplementary Files
Action
1. JATS XML
Download

Copyright (c)