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Optimum assignment of trains to platforms under partial schedule compliance

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  • Chakroborty, Partha
  • Vikram, Durgesh

Abstract

The paper develops a linear mixed integer programming formulation for allocating platforms optimally to trains arriving at a busy multi-platform station. The formulation does not assume that all trains arrive as per schedule, in fact it assumes that the exact arrival times of trains are known shortly (an hour or so) before the actual arrivals of the trains. Such variation in arrival times often necessitates delaying of trains (on the entry tracks) due to non-availability of platforms; these delays may also cause queuing up of trains on the tracks. While determining the optimum allocation the formulation takes into account the inconvenience caused due to (i) delay, (ii) allocation of non-preferred platforms (some platforms may be preferred for some trains - as is the case in India), and (iii) last minute reassignment of platforms. The constraints ensure that all physical and safety related restrictions are satisfied. Various problems developed from the schedule of arrivals at a busy station in India are also solved and the results analyzed.

Suggested Citation

  • Chakroborty, Partha & Vikram, Durgesh, 2008. "Optimum assignment of trains to platforms under partial schedule compliance," Transportation Research Part B: Methodological, Elsevier, vol. 42(2), pages 169-184, February.
    • Handle: RePEc:eee:transb:v:42:y:2008:i:2:p:169-184
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    1. Ghoseiri, Keivan & Szidarovszky, Ferenc & Asgharpour, Mohammad Jawad, 2004. "A multi-objective train scheduling model and solution," Transportation Research Part B: Methodological, Elsevier, vol. 38(10), pages 927-952, December.
    2. David Kraay & Patrick T. Harker & Bintong Chen, 1991. "Optimal Pacing of Trains in Freight Railroads: Model Formulation and Solution," Operations Research, INFORMS, vol. 39(1), pages 82-99, February.
    3. Carey, Malachy & Carville, Sinead, 2003. "Scheduling and platforming trains at busy complex stations," Transportation Research Part A: Policy and Practice, Elsevier, vol. 37(3), pages 195-224, March.
    4. Dejan Jovanović & Patrick T. Harker, 1991. "Tactical Scheduling of Rail Operations: The SCAN I System," Transportation Science, INFORMS, vol. 25(1), pages 46-64, February.
    5. Jean-François Cordeau & Paolo Toth & Daniele Vigo, 1998. "A Survey of Optimization Models for Train Routing and Scheduling," Transportation Science, INFORMS, vol. 32(4), pages 380-404, November.
    6. Alain Billionnet, 2003. "Using Integer Programming to Solve the Train-Platforming Problem," Transportation Science, INFORMS, vol. 37(2), pages 213-222, May.
    7. Odijk, Michiel A., 1996. "A constraint generation algorithm for the construction of periodic railway timetables," Transportation Research Part B: Methodological, Elsevier, vol. 30(6), pages 455-464, December.
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    Cited by:

    1. Sels, P. & Vansteenwegen, P. & Dewilde, T. & Cattrysse, D. & Waquet, B. & Joubert, A., 2014. "The train platforming problem: The infrastructure management company perspective," Transportation Research Part B: Methodological, Elsevier, vol. 61(C), pages 55-72.
    2. Lu, Gongyuan & Nie, Yu(Marco) & Liu, Xiaobo & Li, Denghui, 2019. "Trajectory-based traffic management inside an autonomous vehicle zone," Transportation Research Part B: Methodological, Elsevier, vol. 120(C), pages 76-98.
    3. Lu, Gongyuan & Ning, Jia & Liu, Xiaobo & Nie, Yu (Marco), 2022. "Train platforming and rescheduling with flexible interlocking mechanisms: An aggregate approach," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 159(C).
    4. Weiya Chen & Weiting Yang & Guangdong Zhang, 2022. "Track Utilization Optimization Method for Arrival Yard of Marshalling Station Considering Arrival and Break-Up Coordination Operation," Mathematics, MDPI, vol. 10(18), pages 1-12, September.
    5. Rajnish Kumar & Goutam Sen & Samarjit Kar & Manoj Kumar Tiwari, 2018. "Station Dispatching Problem for a Large Terminal: A Constraint Programming Approach," Interfaces, INFORMS, vol. 48(6), pages 510-528, November.
    6. Jingliu Xu & Zhimei Wang & Shangjun Yao & Jiarong Xue, 2022. "Train Operations Organization in High-Speed Railway Station Considering Variable Configuration," Sustainability, MDPI, vol. 14(4), pages 1-17, February.
    7. Matthew E. H. Petering & Mojtaba Heydar & Dietrich R. Bergmann, 2016. "Mixed-Integer Programming for Railway Capacity Analysis and Cyclic, Combined Train Timetabling and Platforming," Transportation Science, INFORMS, vol. 50(3), pages 892-909, August.
    8. E. Ursavas & Stuart X. Zhu, 2018. "Integrated Passenger and Freight Train Planning on Shared-Use Corridors," Service Science, INFORMS, vol. 52(6), pages 1376-1390, December.

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