Emperor Alexander I St. Petersburg State Transport University
Russian Federation
Russian Federation
Purpose: To analyze the methods of mathematical modeling applied in Russian practice in transport and urban planning. To propose methods and algorithms for accounting for public transport fares in the frames of a transport demand and a passenger traffic density model. To test model of public transport system, accounting for a fare on the example of St. Petersburg agglomeration. Methods: Mathematical modeling, processing data large amounts processing, geoinformation analysis. Results: The study of the impact of a fare on a transport demand and a passenger traffic density as a part of complex task being solved on the basis of transport and urban planning modeling on the example of the transport system of St. Petersburg agglomeration has been pursued. Methodology for calculating the matrices of interdistrict correspondences and for passenger flow formation on a transport network given a fare has been developed. It has been revealed that in addition to time limitations, there are also cost ones in service system feasibility. It’s been established that accounting for a fare can be pursued when calculating as correspondence matrices on the basis of fare impact on demand amount as well as passenger flows on the basis of fare impact on a route choice. Practical importance: The developed modeling method can be the basis to study the dependence of influence of rate various types on passenger flow distribution, time and speed parameters. Being proposed model can be used at the development of documentation on territorial and transport planning, of concepts for improvement of rate policy on a public transport.
transport modeling, public transport, transport network, correspondence matrix, passenger traffic, passenger flows
1. 50 let laboratorii matematicheskih modeley massovogo obsluzhivaniya LO CEMI - laboratorii matematicheskogo modelirovaniya funkcional'no-prostranstvennogo razvitiya gorodov SPb EMI RAN. Materialy k biobibliografii uchenyh i specialistov transportnyh sistem gorodov i organizacii gorodskogo dvizheniya. Vypusk 27. - SPb: Nestor-Istoriya, 2018. - 100 s.
2. Bregman L.M. Relaksacionnyy metod nahozhdeniya obschey tochki vypuklyh mnozhestv i ego primenenie dlya zadach optimizacii - Dokl. AN SSSR, 1966, t.171, №5. - s.1019-1022.
3. Bregman L.M. Dokazatel'stvo shodimosti metoda G.V.Sheleyhovskogo dlya zadachi s transportnymi ogranicheniyami // Zhurnal vychislit. mat. i mat. fiziki, 1967, t. 7, № 1. - s.147-156.
4. Pittel' B.G. Odna prosteyshaya veroyatnostnaya model' kollektivnogo povedeniya // Problemy peredachi informacii, 1967, 3, 3. - s.37-52.
5. Pittel' B.G. Sluchaynoe razmeschenie s ogranicheniyami i princip maksimuma vzveshennoy entropii - Dokl. AN SSSR, 1972, t.207, №6. - s.1281-1283.
6. Erlander, Sven; Stewart Neil F. (1990) The gravity model in transportation analysis: theory and extensions. Topics in transportation, 99-0624974-9. Utrecht: VSP.
7. Matematicheskie metody v upravlenii gorodskimi transportnymi sistemami (otv. red. O.G.Fayans). - L.: Nauka, 1979. - 152 s.
8. Myagkov V.N., Pal'chikov N.S., Fedorov V.P. Matematicheskoe obespechenie gradostroitel'nogo proektirovaniya (Otv.red. B.L.Ovsievich). - L.: Nauka, Leningradskoe otdelenie, 1989. - 144 s.
9. Ekonomiko-matematicheskie issledovaniya: matematicheskie modeli i informacionnye tehnologii. Sbornik trudov Sankt-Peterburgskogo ekonomiko-matematicheskogo instituta RAN. №9. Matematicheskie modeli v issledovanii processov razvitiya gorodskoy sredy. - SPb: Nestor-Istoriya, 2015. - 84 s.
10. Wardrop equilibria JOS´E R. CORREA (Industrial Engineering Department, universidad de Chile, Santiago, Chile) NICOLA´ S E. STIER-MOSES (Graduate School of Business, Columbia university, New York, New York) In book: Wiley Encyclopedia of Operations Research and Management Science, edited by James J. Cochran Copyright 2010 John Wiley & Sons, Inc.
11. Knight, F.H. (1924). Some Fallacies in the Interpretation of Social Costs. Quarterly Journal of Economics 38, pp. 582-606.
12. Wardrop, J (1952). Some theoretical aspects of road traffic research, Proceedings of the Institute of Civil Engineers, London, Part II, Vol.1, pp. 325-378.
13. Beckmann, M.J., C.B. McGuire, C.B. Winsten (1956). Studies in the Economics of Transportation. Yale University Press, New Haven, Conn.
14. Pittel' B.G., Fedorov V.P. Matematicheskaya model' prognoza passazhiropotokov v gorodskoy transportnoy seti // Ekonomika i matem. metody, 1969, 5, vyp. 5. - s.744-757.
15. Fedorov V.P. Ob odnoy zadache vypuklogo programmirovaniya, svyazannoy s raschetom perspektivnyh potokov gruzovyh mashin v gorodskoy transportnoy seti - Matematicheskiy apparat planovyh raschetov. Izd. CEMI AN SSSR. - s.42-46.
16. Fedorov V.P. Matematicheskaya model' formirovaniya passazhiropotokov // Izv. AN SSSR, Tehnicheskaya kibernetika, 1974, №4. - s.17-26.
17. Pittel' B.G. Statisticheskiy podhod k zadache matematicheskogo modelirovaniya massovogo povedeniya v sistemah obsluzhivaniya // Tez. dokl. Simpozium po modelirovaniyu narodnogo hozyaystva, Sekciya ekonomiko-matematicheskih modeley zarubezhnyh stran, Novosibirsk, 22-27 iyunya 1970 g. - s.78-87.
18. Losin L.A. Peterburgskiy opyt postroeniya informacionno-programmnogo kompleksa dlya resheniya transportno-gradostroitel'nyh zadach // Social'no-ekonomicheskie problemy razvitiya i funkcionirovaniya transportnyh sistem gorodov i zon ih vliyaniya. - Minsk: BNTU, 2017. - s.88-95.
19. Fedorov V.P. Formirovanie variantov razvitiya gorodskih transportnyh setey: razrabotka metoda // Transport Rossiyskoy Federacii. − 2012. − №3-4 (40-41). − s.17−21.
20. Bulycheva N.V., Losin L.A. Modelirovanie sistemy obschestvennogo transporta na osnove passazhiropotokov, sformirovannyh na uslovnoy seti // Ekonomika Severo-Zapada: problemy i perspektivy razvitiya. - №2 (65), 2021. - s.86-92.
21. Bulycheva N.V., Vaksman S.A., Istomina L.Yu., Losin L.A. Opyt razrabotki dosetevyh modeley dlya postroeniya setey obschestvennogo transporta (na primere Ekaterinburga) // Social'no-ekonomicheskie problemy razvitiya i funkcionirovaniya transportnyh sistem gorodov i zon ih vliyaniya. - Ekaterinburg: 2021. - s.180-190.
22. Bulycheva N.V. Losin L.A. Vozmozhnosti dosetevogo podhoda v transportnom planirovanii (na primere g.Permi) / Problemy preobrazovaniya i regulirovaniya regional'nyh social'no-ekonomicheskih sistem: sbornik nauchnyh trudov. Vypusk 49 / pod nauchnoy red. d.e.n., prof. S.V.Kuznecova. IPRE RAN. - SPb.: GUAP, 2021. - s.4-11.
