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Article

Alternate Criteria in LP Solutions of Public Transport Line Planning
Jan Černý, Štefan Peško, Anna Černá
Keywords:public transportation, line planning, linear programming, criterion, objective function

Abstract

In the paper, the public transportation line planning means planning of routes and frequencies of vehicles on them. In the world literature, different criteria are used in this context; mainly the variable costs of lines, the fixed costs of lines, the fixed plus variable costs of lines, the number of direct travellers, the total or average riding time and the total or average travelling time. The current paper adds two more: the total number of used vehicles (to be minimized when all passengers are transported) and relative excess of supply over demand (to be maximized without exceeding the number of available vehicles). Basic mathematical models for both cases are presented and the motivation of such approach is described including a brief excursion into the history of the Czech and Slovak research of line planning where the use of these objectives has arisen. Further, the basic models were modified for the cases of fourteen special practical requirements, e.g. heterogeneous vehicle fleet (= rolling stock), limitation of transfers, elastic demand, limited total number of lines, etc. The brief outline of the experience with practical use is added as well.

References

Ceder A. Public Transit Planning and Operation: Theory, Modeling and Practice. Oxford, UK: Elsevier, Butterworth-Heinemann; 2007.

Desaulniers G, Hickman MD. Public transit. In: Barnhart C, Laporte G, editors. Handbook in Operation Research and Management Science: Transportation. Vol. 14. Amsterdam: Elsevier; 2007. p. 69-127.

Guihaire V, Hao JK. Transit network design and scheduling: A global review. Transportation Research Part A. 2008;42(10): 1251-1273.

Ibarra-Rojas OJ, Delgado F, Giesen R, Muñoz JC. Planning, operation, and control of bus transport systems: A literature review. Transportation Research Part B. 2015;77: 38-75.

Chua TA. The planning of urban bus routes and frequencies: A survey. Transportation. 1984;12(2): 147-172.

Kepaptsoglou K, Karlaftis MG. Transit Route Network Design Problem: Review. Journal of Transportation Engineering. 2009;135(8): 491-505.

Schöbel A. Line planning in public transportation: models and methods. OR Spectrum. 2012;34(3): 491-510.

Erlander S, Schéele S. A Mathematical Programming Model for Bus Traffic in a Network. Proceedings of the 6th International Symposium Transportation and Traffic Theory, Vol VI, 1974 August 26-28, Sydney, Australia.

Černý J, Černá A. Erlander Principle in Managerial Decision Making on Czech and Slovak Urban Transport Routes. E&M Economics and Management. 2013;16(1): 93-100.

Daněk J, Plevný M, Teichmann D. The Rational Operation of the Urban Transport Line Network by Minimisation of the Needed Vehicles. Ekonomie a management. 2010;13(2): 53-61.

[11] Černá A, Černý J, Peško Š. Modification of the Method PRIVOL for Optimal Routing and Frequencing. Proceedings of the 32nd International Conference on Mathematical Methods in Economics, 2014 September 10–12, Olomouc, Czech Republic. p. 89-94.

Bielli M, Caramia M, Carotenuto P. Genetic algorithms in bus network optimization. Transportation Research Part C. 2002;10(1): 19-34.

Furth PG, Wilson NHM. Setting frequencies on bus routes: Theory and practice. Transportation Research Record. 1982;818: 1-7.

Matisziw TC, Murray AT, Kim C. Strategic route extension in transit networks. European Journal of Operational Research. 2006;171(2): 661-673.

Szeto WY, Jiang Y. A hybrid artificial bee colony algorithm for transit network design. Transportation Research Record. 2012;2284: 47-56.

Mahdi Amiripour SM, Mohaymany AS, Ceder A. Optimal modification of urban bus network routes using a genetic algorithm. Journal of Transportation Engineering. 2015;141(3): Article No. 04014081.

Orth H, Nash A, Weidmann U. Level-based approach to public transport network planning. Transportation Research Record. 2015;2537: 1-12.

Chien S, Schonfeld P. Joint optimization of a rail transit line and its feeder bus system. Journal of Advanced Transportation.1998;32(3): 253-284.

Chen J, Wang S, Liu Z, Wang W. Design of suburban bus route for airport access. Transportmetrica A: Transport Science. 2017;13(6): 568-589.

Kuah GK, Perl J. Optimization of feeder bus routes and bus-stop spacing. Journal of Transportation Engineering. 1988;114(3): 341-354.

Wang S, Qu X. Rural bus route design problem: Model development and case studies. KSCE Journal of Civil Engineering. 2015;19(6): 1892-1896.

Přibyl V. Solution of the bus route design problem. Communications. 2009;13(3): 25-28.

Yan Y, Liu Z, Meng Q, Jiang Y. Robust optimization model of bus transit network design with stochastic travel time. Journal of Transportation Engineering. 2013;139(6): 625-634.

Jiang Y, Szeto WY. Time-dependent transportation network design that considers health cost. Transportmetrica A: Transport Science. 2015;11(1): 74-101.

Published
13.06.2019
Copyright (c) 2023 Jan Černý, Štefan Peško, Anna Černá

Published by
University of Zagreb, Faculty of Transport and Traffic Sciences
Online ISSN
1848-4069
Print ISSN
0353-5320
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