Abstract
Due to the interaction among different planning levels and various travel demands during a day, the transit network planning is of great importance. In this paper, a bi-objective multi-period planning model is proposed for the synchronization of timetabling and vehicle scheduling. The main aim of the problem is to minimize the weighted transfer waiting time in the interchange stations along with the operational costs of vehicles. In order to demonstrate the effectiveness of the proposed integrated model, a real case study of Tehran subway is considered. The proposed model is solved by the ε-constraint method and some outstanding results are achieved.
Similar content being viewed by others
References
Ceder, A.: Public Transit Planning and Operation: Theory, Modeling and Practice. Elsevier, Butterworth-Heinemann, Oxford (2007)
Ceder, A.A.: Optimal multi-vehicle type transit timetabling and vehicle scheduling. Proc. Soc. Behav. Sci. 20, 19–30 (2011)
Ceder, A.A., Hassold, S., Dano, B.: Approaching even-load and even-headway transit timetables using different bus sizes. Public Transp. 5(3), 193–217 (2013)
Cohon, J.L.: Multiobjective Programming and Planning. Courier Corporation, Chelmsford (2013)
Guihaire, V., Hao, J.-K.: Transit network timetabling and vehicle assignment for regulating authorities. Comput. Ind. Eng. 59(1), 16–23 (2010)
Guo, X., Wu, J., Sun, H., Liu, R., Gao, Z.: Timetable coordination of first trains in urban railway network: a case study of Beijing. Appl. Math. Model. 40, 8048–8066 (2016)
Guo, X., Sun, H., Jianjun, W., Jin, J., Zhou, J., Gao, Z.: Multiperiod-based timetable optimization for metro transit networks. Transp. Res. Part B Methodol. 96, 46–67 (2017)
Hassannayebi, E., Zegordi, S.H., Yaghini, M., Amin-Naseri, M.R.: Timetable optimization models and methods for minimizing passenger waiting time at public transit terminals. Transp. Plan. Technol. 40, 1–27 (2017)
Hassold, S., Ceder, A.: Multiobjective approach to creating bus timetables with multiple vehicle types. Transp. Res. Rec. J. Transp. Res. Board 2276, 56–62 (2012)
Ibarra-Rojas, O.J., Rios-Solis, Y.A.: Synchronization of bus timetabling. Transp. Res. Part B Methodol. 46(5), 599–614 (2012)
Ibarra-Rojas, O.J., Giesen, R., Rios-Solis, Y.A.: An integrated approach for timetabling and vehicle scheduling problems to analyze the trade-off between level of service and operating costs of transit networks. Transp. Res. Part B Methodol. 70, 35–46 (2014)
Ibarra-Rojas, O.J., López-Irarragorri, F., Rios-Solis, Y.A.: Multiperiod bus timetabling. Transp. Sci. 50, 805–822 (2015)
Kang, L., Zhu, X.: A simulated annealing algorithm for first train transfer problem in urban railway networks. Appl. Math. Model. 40, 419–435 (2015)
Kang, L., Jianjun, W., Sun, H., Zhu, X., Gao, Z.: A case study on the coordination of last trains for the Beijing subway network. Transp. Res. Part B Methodol. 72, 112–127 (2015)
Kang, L., Zhu, X., Sun, H., Puchinger, J., Ruthmair, M., Bin, H.: Modeling the first train timetabling problem with minimal missed trains and synchronization time differences in subway networks. Transp. Res. Part B Methodol. 93, 17–36 (2016)
Kwan, C.M., Chang, C.S.: Timetable synchronization of mass rapid transit system using multiobjective evolutionary approach. IEEE Trans. Syst. Man Cybern. Part C Appl. Rev. 38(5), 636–648 (2008)
Liebchen, C.: The first optimized railway timetable in practice. Transp. Sci. 42(4), 420–435 (2008)
Mavrotas, G.: Effective implementation of the ε-constraint method in multi-objective mathematical programming problems. Appl. Math. Comput. 213(2), 455–465 (2009)
Tuzun Aksu, D., Yılmaz, S.: Transit coordination with heterogeneous headways. Transp. Plan. Technol. 37(5), 450–465 (2014)
Ullman, J.B., Bentler, P.M.: Structural Equation Modeling. Wiley, London (2003)
Van den Heuvel, A., Van den Akker, J., Van Kooten, M.: Integrating timetabling and vehicle scheduling in public bus transportation. Reporte Técnico UU-CS-2008-003, Department of Information and Computing Sciences, Utrecht University, Holanda (2008)
Wong, R.C., Yuen, T.W., Fung, K.W., Leung, J.M.: Optimizing timetable synchronization for rail mass transit. Transp. Sci. 42(1), 57–69 (2008)
Wu, J., Liu, M., Sun, H., Li, T., Gao, Z., Wang, D.Z.: Equity-based timetable synchronization optimization in urban subway network. Transp. Res. Part C Emerg. Technol. 51, 1–18 (2015)
Xu, X., Li, K., Li, X.: A multi-objective subway timetable optimization approach with minimum passenger time and energy consumption. J. Adv. Transp. 50, 69–95 (2015)
Author information
Authors and Affiliations
Contributions
Authors’ contribution
M Heidari: Drafting the article, Literature Search and Review, and Manuscript Writing. SM Hosseini-Motlagh: Design of the work, Meta-Analysis and Content Planning, and Manuscript Editing. N Nikoo: Conception of the work, Content Planning, and Manuscript Editing.
Corresponding author
Rights and permissions
About this article
Cite this article
Heidari, M., Hosseini-Motlagh, SM. & Nikoo, N. A subway planning bi-objective multi-period optimization model integrating timetabling and vehicle scheduling: a case study of Tehran. Transportation 47, 417–443 (2020). https://doi.org/10.1007/s11116-018-9895-2
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11116-018-9895-2