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A model for the blocking of trains

Author

Listed:
  • Bodin, Lawrence D.
  • Golden, Bruce L.
  • Schuster, Allan D.
  • Romig, William

Abstract

We have developed a nonlinear, mixed-integer programming model for the railroad blocking problem. The objective of this model is to determine a classification strategy for all the classification yards in a railroad system at one time. The model can be viewed as a multicommodity flow problem with many additional side conditions. In this paper, we develop the model by discussing variables, constraints, and the objective function in great detail. We are currently attempting to solve this model using MPSX/370.

Suggested Citation

  • Bodin, Lawrence D. & Golden, Bruce L. & Schuster, Allan D. & Romig, William, 1980. "A model for the blocking of trains," Transportation Research Part B: Methodological, Elsevier, vol. 14(1-2), pages 115-120.
    • Handle: RePEc:eee:transb:v:14:y:1980:i:1-2:p:115-120
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    Cited by:

    1. Phil Ireland & Rod Case & John Fallis & Carl Van Dyke & Jason Kuehn & Marc Meketon, 2004. "The Canadian Pacific Railway Transforms Operations by Using Models to Develop Its Operating Plans," Interfaces, INFORMS, vol. 34(1), pages 5-14, February.
    2. Schwerdfeger, Stefan & Otto, Alena & Boysen, Nils, 2021. "Rail platooning: Scheduling trains along a rail corridor with rapid-shunting facilities," European Journal of Operational Research, Elsevier, vol. 294(2), pages 760-778.
    3. Jin, Jian Gang & Zhao, Jun & Lee, Der-Horng, 2013. "A column generation based approach for the Train Network Design Optimization problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 50(C), pages 1-17.
    4. Markus Bohlin & Sara Gestrelius & Florian Dahms & Matúš Mihalák & Holger Flier, 2016. "Optimization Methods for Multistage Freight Train Formation," Transportation Science, INFORMS, vol. 50(3), pages 823-840, August.
    5. Boysen, Nils & Fliedner, Malte & Jaehn, Florian & Pesch, Erwin, 2012. "Shunting yard operations: Theoretical aspects and applications," European Journal of Operational Research, Elsevier, vol. 220(1), pages 1-14.
    6. Lawrence, Martha B. & Shughart, L.A., 1992. "A Railroad Terminal cost model to support network management strategy," Transportation Research Forum Proceedings 1990s 311884, Transportation Research Forum.
    7. Jianjun Fu & Junhua Chen, 2021. "A Green Transportation Planning Approach for Coal Heavy-Haul Railway System by Simultaneously Optimizing Energy Consumption and Capacity Utilization," Sustainability, MDPI, vol. 13(8), pages 1-25, April.
    8. Yidong Wang & Rui Song & Shiwei He & Zilong Song, 2022. "Train Routing and Track Allocation Optimization Model of Multi-Station High-Speed Railway Hub," Sustainability, MDPI, vol. 14(12), pages 1-21, June.
    9. Harry N. Newton & Cynthia Barnhart & Pamela H. Vance, 1998. "Constructing Railroad Blocking Plans to Minimize Handling Costs," Transportation Science, INFORMS, vol. 32(4), pages 330-345, November.
    10. Boliang Lin & Xingkui Li & Zexi Zhang & Yinan Zhao, 2019. "Optimizing Transport Scheme of High Value-Added Shipments in Regions without Express Train Services," Sustainability, MDPI, vol. 11(21), pages 1-21, November.
    11. Ravindra K. Ahuja & Krishna C. Jha & Jian Liu, 2007. "Solving Real-Life Railroad Blocking Problems," Interfaces, INFORMS, vol. 37(5), pages 404-419, October.
    12. Boliang Lin & Jingsong Duan & Jiaxi Wang & Min Sun & Wengao Peng & Chang Liu & Jie Xiao & Siqi Liu & Jianping Wu, 2018. "A study of the car-to-train assignment problem for rail express cargos in the scheduled and unscheduled train services network," PLOS ONE, Public Library of Science, vol. 13(10), pages 1-18, October.
    13. J Liu & R K Ahuja & G Şahin, 2008. "Optimal network configuration and capacity expansion of railroads," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(7), pages 911-920, July.
    14. Cynthia Barnhart & Hong Jin & Pamela H. Vance, 2000. "Railroad Blocking: A Network Design Application," Operations Research, INFORMS, vol. 48(4), pages 603-614, August.
    15. Endong Zhu & Teodor Gabriel Crainic & Michel Gendreau, 2014. "Scheduled Service Network Design for Freight Rail Transportation," Operations Research, INFORMS, vol. 62(2), pages 383-400, April.
    16. Armin Fügenschuh & Henning Homfeld & Hanno Schülldorf, 2015. "Single-Car Routing in Rail Freight Transport," Transportation Science, INFORMS, vol. 49(1), pages 130-148, February.
    17. Ruf, Moritz & Cordeau, Jean-François, 2021. "Adaptive large neighborhood search for integrated planning in railroad classification yards," Transportation Research Part B: Methodological, Elsevier, vol. 150(C), pages 26-51.
    18. Van Dyke, Carl, 1986. "The Automated Blocking model: A practical approach to freight railroad blocking plan development," Transportation Research Forum Proceedings 1980s 311823, Transportation Research Forum.
    19. Chen, Chongshuang & Dollevoet, Twan & Zhao, Jun, 2018. "One-block train formation in large-scale railway networks: An exact model and a tree-based decomposition algorithm," Transportation Research Part B: Methodological, Elsevier, vol. 118(C), pages 1-30.
    20. Mantovani, Serena & Morganti, Gianluca & Umang, Nitish & Crainic, Teodor Gabriel & Frejinger, Emma & Larsen, Eric, 2018. "The load planning problem for double-stack intermodal trains," European Journal of Operational Research, Elsevier, vol. 267(1), pages 107-119.
    21. Lin, Bo-Liang & Wang, Zhi-Mei & Ji, Li-Jun & Tian, Ya-Ming & Zhou, Guo-Qing, 2012. "Optimizing the freight train connection service network of a large-scale rail system," Transportation Research Part B: Methodological, Elsevier, vol. 46(5), pages 649-667.
    22. Chen, C. & Dollevoet, T.A.B. & Zhao, J., 2017. "One-block train formation in large-scale railway networks: An exact model and a tree-based decomposition algorithm," Econometric Institute Research Papers EI-2017-32, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    23. Xiao, Jie & Pachl, Joern & Lin, Boliang & Wang, Jiaxi, 2018. "Solving the block-to-train assignment problem using the heuristic approach based on the genetic algorithm and tabu search," Transportation Research Part B: Methodological, Elsevier, vol. 108(C), pages 148-171.
    24. Sarah Frisch & Philipp Hungerländer & Anna Jellen & Manuel Lackenbucher & Bernhard Primas & Sebastian Steininger, 2023. "Integrated freight car routing and train scheduling," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 31(2), pages 417-443, June.

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