IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v245y2015i2p489-505.html
   My bibliography  Save this article

Multi-objective models and techniques for analysing the absolute capacity of railway networks

Author

Listed:
  • Burdett, Robert L.

Abstract

Railway capacity determination and expansion are very important topics. In prior research, the competition between different entities such as train services and train types, on different network corridors however have been ignored, poorly modelled, or else assumed to be static. In response, a comprehensive set of multi-objective models have been formulated in this article to perform a trade-off analysis. These models determine the total absolute capacity of railway networks as the most equitable solution according to a clearly defined set of competing objectives. The models also perform a sensitivity analysis of capacity with respect to those competing objectives. The models have been extensively tested on a case study and their significant worth is shown. The models were solved using a variety of techniques however an adaptive E constraint method was shown to be most superior. In order to identify only the best solution, a Simulated Annealing meta-heuristic was implemented and tested. However a linearization technique based upon separable programming was also developed and shown to be superior in terms of solution quality but far less in terms of computational time.

Suggested Citation

  • Burdett, Robert L., 2015. "Multi-objective models and techniques for analysing the absolute capacity of railway networks," European Journal of Operational Research, Elsevier, vol. 245(2), pages 489-505.
  • Handle: RePEc:eee:ejores:v:245:y:2015:i:2:p:489-505
    DOI: 10.1016/j.ejor.2015.03.020
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377221715002271
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.ejor.2015.03.020?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Mussone, Lorenzo & Wolfler Calvo, Roberto, 2013. "An analytical approach to calculate the capacity of a railway system," European Journal of Operational Research, Elsevier, vol. 228(1), pages 11-23.
    2. Burdett, R.L. & Kozan, E., 2014. "An integrated approach for earthwork allocation, sequencing and routing," European Journal of Operational Research, Elsevier, vol. 238(3), pages 741-759.
    3. 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.
    4. Singh, Gaurav & Sier, David & Ernst, Andreas T. & Gavriliouk, Olena & Oyston, Rob & Giles, Tracey & Welgama, Palitha, 2012. "A mixed integer programming model for long term capacity expansion planning: A case study from The Hunter Valley Coal Chain," European Journal of Operational Research, Elsevier, vol. 220(1), pages 210-224.
    5. Burdett, R.L. & Kozan, E., 2009. "Techniques for inserting additional trains into existing timetables," Transportation Research Part B: Methodological, Elsevier, vol. 43(8-9), pages 821-836, September.
    6. Oskar Fr�idh & Hans Sipil� & Jennifer Warg, 2014. "Capacity for express trains on mixed traffic lines," International Journal of Rail Transportation, Taylor & Francis Journals, vol. 2(1), pages 17-27, February.
    7. Zhou, Xuesong & Zhong, Ming, 2005. "Bicriteria train scheduling for high-speed passenger railroad planning applications," European Journal of Operational Research, Elsevier, vol. 167(3), pages 752-771, December.
    8. Burdett, R.L. & Kozan, E., 2006. "Techniques for absolute capacity determination in railways," Transportation Research Part B: Methodological, Elsevier, vol. 40(8), pages 616-632, September.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Bayan Bevrani & Robert L. Burdett & Ashish Bhaskar & Prasad K. D. V. Yarlagadda, 2020. "A multi commodity flow model incorporating flow reduction functions," Flexible Services and Manufacturing Journal, Springer, vol. 32(3), pages 693-723, September.
    2. Line Blander Reinhardt & David Pisinger & Richard Lusby, 2018. "Railway capacity and expansion analysis using time discretized paths," Flexible Services and Manufacturing Journal, Springer, vol. 30(4), pages 712-739, December.
    3. Jovanović, Predrag & Pavlović, Norbert & Belošević, Ivan & Milinković, Sanjin, 2020. "Graph coloring-based approach for railway station design analysis and capacity determination," European Journal of Operational Research, Elsevier, vol. 287(1), pages 348-360.
    4. Bevrani, Bayan & Burdett, Robert L. & Bhaskar, Ashish & Yarlagadda, Prasad K.D.V., 2017. "A capacity assessment approach for multi-modal transportation systems," European Journal of Operational Research, Elsevier, vol. 263(3), pages 864-878.
    5. Yu, Shiwei & Zheng, Shuhong & Gao, Shiwei & Yang, Juan, 2017. "A multi-objective decision model for investment in energy savings and emission reductions in coal mining," European Journal of Operational Research, Elsevier, vol. 260(1), pages 335-347.
    6. Li, Feng & Gao, Ziyou & Wang, David Z.W. & Liu, Ronghui & Tang, Tao & Wu, Jianjun & Yang, Lixing, 2017. "A subjective capacity evaluation model for single-track railway system with δ-balanced traffic and λ-tolerance level," Transportation Research Part B: Methodological, Elsevier, vol. 105(C), pages 43-66.
    7. Burdett, Robert & Kozan, Erhan, 2016. "A multi-criteria approach for hospital capacity analysis," European Journal of Operational Research, Elsevier, vol. 255(2), pages 505-521.
    8. Burdett, RL, 2016. "Optimisation models for expanding a railway's theoretical capacity," European Journal of Operational Research, Elsevier, vol. 251(3), pages 783-797.
    9. Yan, Fei & Bešinović, Nikola & Goverde, Rob M.P., 2019. "Multi-objective periodic railway timetabling on dense heterogeneous railway corridors," Transportation Research Part B: Methodological, Elsevier, vol. 125(C), pages 52-75.
    10. Jovanović, Predrag & Kecman, Pavle & Bojović, Nebojša & Mandić, Dragomir, 2017. "Optimal allocation of buffer times to increase train schedule robustness," European Journal of Operational Research, Elsevier, vol. 256(1), pages 44-54.
    11. Sihui Long & Lingyun Meng & Jianrui Miao & Xin Hong & Francesco Corman, 2020. "Synchronizing Last Trains of Urban Rail Transit System to Better Serve Passengers from Late Night Trains of High-Speed Railway Lines," Networks and Spatial Economics, Springer, vol. 20(2), pages 599-633, June.
    12. Bevrani, Bayan & Burdett, Robert & Bhaskar, Ashish & Yarlagadda, Prasad K.D.V., 2020. "A multi-criteria multi-commodity flow model for analysing transportation networks," Operations Research Perspectives, Elsevier, vol. 7(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Burdett, RL, 2016. "Optimisation models for expanding a railway's theoretical capacity," European Journal of Operational Research, Elsevier, vol. 251(3), pages 783-797.
    2. Burdett, R.L. & Kozan, E., 2010. "A disjunctive graph model and framework for constructing new train schedules," European Journal of Operational Research, Elsevier, vol. 200(1), pages 85-98, January.
    3. Li, Feng & Gao, Ziyou & Wang, David Z.W. & Liu, Ronghui & Tang, Tao & Wu, Jianjun & Yang, Lixing, 2017. "A subjective capacity evaluation model for single-track railway system with δ-balanced traffic and λ-tolerance level," Transportation Research Part B: Methodological, Elsevier, vol. 105(C), pages 43-66.
    4. Talebian, Ahmadreza & Zou, Bo, 2015. "Integrated modeling of high performance passenger and freight train planning on shared-use corridors in the US," Transportation Research Part B: Methodological, Elsevier, vol. 82(C), pages 114-140.
    5. Albrecht, Amie & Howlett, Phil & Pudney, Peter & Vu, Xuan & Zhou, Peng, 2016. "The key principles of optimal train control—Part 1: Formulation of the model, strategies of optimal type, evolutionary lines, location of optimal switching points," Transportation Research Part B: Methodological, Elsevier, vol. 94(C), pages 482-508.
    6. Zhang, Yongxiang & Peng, Qiyuan & Yao, Yu & Zhang, Xin & Zhou, Xuesong, 2019. "Solving cyclic train timetabling problem through model reformulation: Extended time-space network construct and Alternating Direction Method of Multipliers methods," Transportation Research Part B: Methodological, Elsevier, vol. 128(C), pages 344-379.
    7. Bevrani, Bayan & Burdett, Robert & Bhaskar, Ashish & Yarlagadda, Prasad K.D.V., 2020. "A multi-criteria multi-commodity flow model for analysing transportation networks," Operations Research Perspectives, Elsevier, vol. 7(C).
    8. Line Blander Reinhardt & David Pisinger & Richard Lusby, 2018. "Railway capacity and expansion analysis using time discretized paths," Flexible Services and Manufacturing Journal, Springer, vol. 30(4), pages 712-739, December.
    9. Burdett, R.L. & Kozan, E., 2009. "Techniques for inserting additional trains into existing timetables," Transportation Research Part B: Methodological, Elsevier, vol. 43(8-9), pages 821-836, September.
    10. Masoud Yaghini & Mohammadreza Sarmadi & Nariman Nikoo & Mohsen Momeni, 2014. "Capacity Consumption Analysis Using Heuristic Solution Method for Under Construction Railway Routes," Networks and Spatial Economics, Springer, vol. 14(3), pages 317-333, December.
    11. Gedik, Ridvan & Medal, Hugh & Rainwater, Chase & Pohl, Ed A. & Mason, Scott J., 2014. "Vulnerability assessment and re-routing of freight trains under disruptions: A coal supply chain network application," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 71(C), pages 45-57.
    12. Yu-Jun Zheng, 2018. "Emergency Train Scheduling on Chinese High-Speed Railways," Transportation Science, INFORMS, vol. 52(5), pages 1077-1091, October.
    13. Repolho, Hugo M. & Church, Richard L. & Antunes, António P., 2016. "Optimizing station location and fleet composition for a high-speed rail line," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 93(C), pages 437-452.
    14. Zeyu Wang & Leishan Zhou & Bin Guo & Xing Chen & Hanxiao Zhou, 2021. "An Efficient Hybrid Approach for Scheduling the Train Timetable for the Longer Distance High-Speed Railway," Sustainability, MDPI, vol. 13(5), pages 1-22, February.
    15. Wenliang Zhou & Junli Tian & Jin Qin & Lianbo Deng & TangJian Wei, 2015. "Optimization of Multiperiod Mixed Train Schedule on High-Speed Railway," Discrete Dynamics in Nature and Society, Hindawi, vol. 2015, pages 1-14, April.
    16. David Canca & Eva Barrena & Gilbert Laporte & Francisco A. Ortega, 2016. "A short-turning policy for the management of demand disruptions in rapid transit systems," Annals of Operations Research, Springer, vol. 246(1), pages 145-166, November.
    17. Ortega Riejos, Francisco A. & Barrena, Eva & Canca Ortiz, J. David & Laporte, Gilbert, 2016. "Analyzing the theoretical capacity of railway networks with a radial-backbone topology," Transportation Research Part A: Policy and Practice, Elsevier, vol. 84(C), pages 83-92.
    18. Bayan Bevrani & Robert L. Burdett & Ashish Bhaskar & Prasad K. D. V. Yarlagadda, 2020. "A multi commodity flow model incorporating flow reduction functions," Flexible Services and Manufacturing Journal, Springer, vol. 32(3), pages 693-723, September.
    19. Jovanović, Predrag & Pavlović, Norbert & Belošević, Ivan & Milinković, Sanjin, 2020. "Graph coloring-based approach for railway station design analysis and capacity determination," European Journal of Operational Research, Elsevier, vol. 287(1), pages 348-360.
    20. Zhou, Wenliang & Teng, Hualiang, 2016. "Simultaneous passenger train routing and timetabling using an efficient train-based Lagrangian relaxation decomposition," Transportation Research Part B: Methodological, Elsevier, vol. 94(C), pages 409-439.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:ejores:v:245:y:2015:i:2:p:489-505. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/eor .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.