A Mathematical Framework for Expanding a Railway’s Theoretical Capacity
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A Mathematical Framework for Expanding a Railway’s Theoretical Capacity

Authors: Robert L. Burdett, Bayan Bevrani

Abstract:

Analytical techniques for measuring and planning railway capacity expansion activities have been considered in this article. A preliminary mathematical framework involving track duplication and section sub divisions is proposed for this task. In railways, these features have a great effect on network performance and for this reason they have been considered. Additional motivations have also arisen from the limitations of prior models that have not included them.

Keywords: Capacity analysis, capacity expansion, railways.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1109547

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[1] Abril, M., Barber, F., Ingolotti, L., Salido, M. A., Tormos, P., Lova, A., 2008. An assessment of railway capacity. Transportation Research Part E: Logistics and Transportation Review, 44, 774-806.
[2] Bevrani, B., Burdett, R. L., Yarlagadda P., 2015. An analysis of the Iranian national railway network and its capacity. Transport (In Press).
[3] Burdett, R. L., Kozan, E., 2006. Techniques for absolute capacity determination in railways. Transportation Research B 40(8), 616-632.
[4] Burdett, R. L., Kozan, E., 2009. Techniques for inserting additional trains into existing timetables. Transportation Research B 43(8), 821- 836.
[5] Burdett, R. L., Kozan, E., 2010. A sequencing approach for train timetabling. OR Spectrum 32(1), 163-193.
[6] Burdett, R. L., Kozan, E., 2010. Development of a disjunctive graph model and framework for constructing new train schedules. European Journal of Operational Research 200(1), 85-98.
[7] Burdett, R. L. (2015). Multi-objective models and techniques for railway capacity analysis. European Journal of Operational Research. DOI: 10.1016/j.ejor.2015.03.020.
[8] D’Ariano, A., Pacciarelli, D., Pranzo, M., 2007. A branch and bound algorithm for scheduling trains on a railway network. European Journal of Operational Research 183(2), 643–57.
[9] Dicembre A., Ricci S., 2011. Railway traffic on high density urban corridors: capacity, signalling and timetable. Journal of Rail Transport Planning and Management, 59-68.
[10] Froidh, O., Sipila, H., Warg, J., 2014. Capacity for express trains on mixed traffic lines. International Journal of Rail Transportation 2, 17-27.
[11] Giandomenico, F. D., Fantechi, A., Gnesi, S., Itria, M. L., 2013. Stochastic model based analysis of railway operation to support traffic planning. Software Engineering for Resilient Systems. Lecture Notes in Computer Science. 8166, 184-198.
[12] Goverde, R. M. P., Corman, F. D’ariano, A., 2013. Railway line capacity consumption of different railway signalling systems under scheduled and disturbed conditions. Journal of Rail Transport Planning & Management 3, 78-94.
[13] Harrod, S., 2009. Capacity factors of a mixed speed railway network. Transportation Research Part E: Logistics and Transportation Review 45, 830-841.
[14] Kontaxi, E., Ricci, S., 2010. Railway capacity analysis: Methodological framework and harmonization perspectives. Proceedings of the 12th World Conference on Transportation Research, Lisboa, Portugal (July).
[15] Kozan, E., Burdett, R. L., 2005. A railway capacity determination model and rail access charging methodologies. Transportation Planning and Technology 28(1), 27-45.
[16] Lai, Y. C., Shih M. C., Jong J. C., 2010. Railway capacity model and decision support process for strategic capacity planning. Transportation Research Record: Journal of the Transportation Research Board 2197, 19-28.
[17] Lai, Y., Barkan C., 2011. Comprehensive decision support framework for strategic railway capacity planning. Journal of Transportation Engineering 137, 738-749.
[18] Lai, Y. C., Shih, M. C., Jong, J. C., 2010. Railway capacity model and decision support process for strategic capacity planning. Transportation Research Record: Journal of the Transportation Research Board 2197, 19-28.
[19] Landex, A., 2009. Evaluation of railway networks with single track operation using the UIC 406 capacity method. Networks and Spatial Economics, 9, 7-23.
[20] Liu, S. Q., Kozan E., 2009. Scheduling trains as a blocking parallelmachine job shop scheduling problem. Computers and Operations Research 36(10), 2840–52.
[21] Liu, S. Q., Kozan E., 2011. Scheduling trains with priorities: a no-wait blocking parallel machine job shop scheduling model. Transportation Science 45(2), 175–98.
[22] Lu M., Nicholson G. L., Schmid F., Dai L., Chen L., Roberts C., 2013. A framework for the evaluation of the performance of railway networks. International Journal of Railway Technology 2(2), 76-96.
[23] Lui, J., Ahuja, R. K., Sahin, G. (2008), Optimal network configuration and capacity expansion of railroads. Journal of the Operational Research Society, 59(7), 911-920.
[24] Mussone, L., Wolfler C.R, 2013. An analytical approach to calculate the capacity of a railway system. European Journal of Operational Research 228, 11-23.
[25] Shih, M. C., Dick, C. T., Sogin, S. L., Barkan, C. P., 2014. Comparison of capacity expansion strategies for single-track railway lines with sparse sidings 2. Transportation Research Board 93rd Annual Meeting.
[26] Singh G., Sier D., Ernst A. T., Gavriliouk O., Oyston R., Giles T., Welgama P., 2012. A mixed integer programming model for long term capacity expansion planning: a case study from the hunter valley coal chain. European Journal of Operation Research 220, 210-224.
[27] Yaghini, M., Nikoo, N., Ahadi, H. R., 2014. An integer programming model for analysing impacts of different train types on railway line capacity. Transport 29, 28-35.