IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v189y2008i3p762-774.html
   My bibliography  Save this article

Optimization models for the single delay management problem in public transportation

Author

Listed:
  • Heilporn, Géraldine
  • De Giovanni, Luigi
  • Labbé, Martine

Abstract

Passengers travelling in public transportation networks often have to use different lines to cover the trip from their origin to the desired destination. As a consequence, the reliability of connections between vehicles is a key issue for the attractiveness of the intermodal transportation network and it is strongly affected by some unpredictable events like breakdowns or vehicle delays. In such cases, a decision is required to determine if the connected vehicles should wait for the delayed ones or keep their schedule. The delay management problem (DMP) consists in defining the wait/depart policy which minimizes the total delay on the network. In this work, we present two equivalent mixed integer linear programming models for the DMP with a single initial delay, able to reduce the number of variables with respect to the formulations proposed by the literature. The two models are solved by a branch and cut procedure and by a constraint generation approach respectively, and preliminary computational results are presented.

Suggested Citation

  • Heilporn, Géraldine & De Giovanni, Luigi & Labbé, Martine, 2008. "Optimization models for the single delay management problem in public transportation," European Journal of Operational Research, Elsevier, vol. 189(3), pages 762-774, September.
    • Handle: RePEc:eee:ejores:v:189:y:2008:i:3:p:762-774
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377-2217(06)01183-0
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    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. Robert Fourer & David M. Gay & Brian W. Kernighan, 1990. "A Modeling Language for Mathematical Programming," Management Science, INFORMS, vol. 36(5), pages 519-554, May.
    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. Michael Schachtebeck & Anita Schöbel, 2010. "To Wait or Not to Wait---And Who Goes First? Delay Management with Priority Decisions," Transportation Science, INFORMS, vol. 44(3), pages 307-321, August.
    2. Twan Dollevoet & Dennis Huisman & Marie Schmidt & Anita Schöbel, 2012. "Delay Management with Rerouting of Passengers," Transportation Science, INFORMS, vol. 46(1), pages 74-89, February.
    3. Yiting Xing & Ling Li & Zhuming Bi & Marzena Wilamowska‐Korsak & Li Zhang, 2013. "Operations Research (OR) in Service Industries: A Comprehensive Review," Systems Research and Behavioral Science, Wiley Blackwell, vol. 30(3), pages 300-353, May.
    4. Sato, Keisuke & Fukumura, Naoto, 2012. "Real-time freight locomotive rescheduling and uncovered train detection during disruption," European Journal of Operational Research, Elsevier, vol. 221(3), pages 636-648.
    5. Anita Schöbel & Silvia Schwarze, 2013. "Finding delay-resistant line concepts using a game-theoretic approach," Netnomics, Springer, vol. 14(3), pages 95-117, November.
    6. Twan Dollevoet & Dennis Huisman & Leo Kroon & Marie Schmidt & Anita Schöbel, 2015. "Delay Management Including Capacities of Stations," Transportation Science, INFORMS, vol. 49(2), pages 185-203, May.
    7. Julius Pätzold, 2021. "Finding robust periodic timetables by integrating delay management," Public Transport, Springer, vol. 13(2), pages 349-374, June.
    8. Eva König, 2020. "A review on railway delay management," Public Transport, Springer, vol. 12(2), pages 335-361, June.
    9. Veronica Dal Sasso & Luigi De Giovanni & Martine Labbé, 2019. "Strengthened Formulations and Valid Inequalities for Single Delay Management in Public Transportation," Transportation Science, INFORMS, vol. 53(5), pages 1271-1286, September.
    10. Dollevoet, T.A.B. & Huisman, D. & Schmidt, M.E. & Schöbel, A., 2010. "Delay Management with Re-Routing of Passengers," Econometric Institute Research Papers EI 2010-31, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    11. Mizuyo Takamatsu & Azuma Taguchi, 2020. "Bus Timetable Design to Ensure Smooth Transfers in Areas with Low-Frequency Public Transportation Services," Transportation Science, INFORMS, vol. 54(5), pages 1238-1250, September.
    12. König, Eva & Schön, Cornelia, 2021. "Railway delay management with passenger rerouting considering train capacity constraints," European Journal of Operational Research, Elsevier, vol. 288(2), pages 450-465.
    13. Cristina ALPOPI & Sofia Elena COLESCA, 2010. "Management Of Public Passenger Transport Services During Economic Crisis," Proceedings of Administration and Public Management International Conference, Research Centre in Public Administration and Public Services, Bucharest, Romania, vol. 6(1), pages 104-121, June.
    14. Schön, Cornelia & König, Eva, 2018. "A stochastic dynamic programming approach for delay management of a single train line," European Journal of Operational Research, Elsevier, vol. 271(2), pages 501-518.
    15. repec:rom:campco:v:6:y:2010:i:1:p:104-121 is not listed on IDEAS
    16. Dollevoet, T.A.B. & Huisman, D. & Schöbel, A. & Schmidt, M.E., 2012. "Delay Management including Capacities of Stations," Econometric Institute Research Papers EI 2012-22, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    17. Dollevoet, T.A.B. & Corman, F. & D'Ariano, A. & Huisman, D., 2012. "An Iterative Optimization Framework for Delay Management and Train Scheduling," Econometric Institute Research Papers EI 2012-10, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    18. Li, Wenxin & Peng, Qiyuan & Wen, Chao & Wang, Pengling & Lessan, Javad & Xu, Xinyue, 2020. "Joint optimization of delay-recovery and energy-saving in a metro system: A case study from China," Energy, Elsevier, vol. 202(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. Pichler, Anton & Poledna, Sebastian & Thurner, Stefan, 2021. "Systemic risk-efficient asset allocations: Minimization of systemic risk as a network optimization problem," Journal of Financial Stability, Elsevier, vol. 52(C).
    2. Sinha, Ankur & Rämö, Janne & Malo, Pekka & Kallio, Markku & Tahvonen, Olli, 2017. "Optimal management of naturally regenerating uneven-aged forests," European Journal of Operational Research, Elsevier, vol. 256(3), pages 886-900.
    3. Robert Fourer & David M. Gay, 2002. "Extending an Algebraic Modeling Language to Support Constraint Programming," INFORMS Journal on Computing, INFORMS, vol. 14(4), pages 322-344, November.
    4. Duck Bong Kim, 2019. "An approach for composing predictive models from disparate knowledge sources in smart manufacturing environments," Journal of Intelligent Manufacturing, Springer, vol. 30(4), pages 1999-2012, April.
    5. Michael R. Bussieck & Michael C. Ferris & Alexander Meeraus, 2009. "Grid-Enabled Optimization with GAMS," INFORMS Journal on Computing, INFORMS, vol. 21(3), pages 349-362, August.
    6. Lin, Suh-Yun Elva & Schuff, David & St. Louis, Robert D., 2000. "Subscript-free modeling languages: A tool for facilitating the formulation and use of models," European Journal of Operational Research, Elsevier, vol. 123(3), pages 614-627, June.
    7. Dutta, Goutam & Natesan, Sumeetha R. & Thakur, Deepika & Tiwari, Manoj K., 2020. "A Mathematical Programming Approach with Revenue Management in Home Loan Pricing (Revised as on 20-12-2021)," IIMA Working Papers WP 2020-02-02, Indian Institute of Management Ahmedabad, Research and Publication Department.
    8. Vaz, A. Ismael F. & Fernandes, Edite M. G. P. & Gomes, M. Paula S. F., 2004. "Robot trajectory planning with semi-infinite programming," European Journal of Operational Research, Elsevier, vol. 153(3), pages 607-617, March.
    9. Yongyang Cai & Kenneth Judd, 2013. "Shape-preserving dynamic programming," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 77(3), pages 407-421, June.
    10. Bitran, Gabriel R. & Ramalho, Eduardo Wn. R., 1993. "Mailing decisions in the catalog industry," Working papers 3534-93., Massachusetts Institute of Technology (MIT), Sloan School of Management.
    11. Cindy Paola Guzman & Nataly Bañol Arias & John Fredy Franco & Marcos J. Rider & Rubén Romero, 2020. "Enhanced Coordination Strategy for an Aggregator of Distributed Energy Resources Participating in the Day-Ahead Reserve Market," Energies, MDPI, vol. 13(8), pages 1-22, April.
    12. Saqib Ali & Md Asri Ngadi, 2016. "Optimized interference aware joint channel assignment model for wireless mesh network," Telecommunication Systems: Modelling, Analysis, Design and Management, Springer, vol. 62(1), pages 215-230, May.
    13. Abdul Basit & Saad Qaisar & Mudassar Ali & Muhammad Naeem & Marc Bruyere & Joel J. P. C. Rodrigues, 2020. "Interconnecting networks with optimized service provisioning," Telecommunication Systems: Modelling, Analysis, Design and Management, Springer, vol. 73(2), pages 223-239, February.
    14. Hui Xu & Daniel G. Brown & Allison L. Steiner, 2018. "Sensitivity to climate change of land use and management patterns optimized for efficient mitigation of nutrient pollution," Climatic Change, Springer, vol. 147(3), pages 647-662, April.
    15. H. Le Thi & A. Vaz & L. Vicente, 2012. "Optimizing radial basis functions by d.c. programming and its use in direct search for global derivative-free optimization," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 20(1), pages 190-214, April.
    16. Yongyang Cai & Kenneth L. Judd, 2023. "A simple but powerful simulated certainty equivalent approximation method for dynamic stochastic problems," Quantitative Economics, Econometric Society, vol. 14(2), pages 651-687, May.
    17. Shraddha Ghatkar, 2019. "Optimization of fractionation schemes and beamlet intensities in intensity-modulated radiation therapy with changing cancer tumor properties," DECISION: Official Journal of the Indian Institute of Management Calcutta, Springer;Indian Institute of Management Calcutta, vol. 46(4), pages 385-407, December.
    18. Zrinka Lukac & Mirjana Cizmesija, 2021. "(Re)Constructing the European Economic Sentiment Indicator: An Optimization Approach," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 155(3), pages 939-958, June.
    19. Fátima Pilar & Eliana Costa e Silva & Ana Borges, 2023. "Optimizing Vehicle Repairs Scheduling Using Mixed Integer Linear Programming: A Case Study in the Portuguese Automobile Sector," Mathematics, MDPI, vol. 11(11), pages 1-23, June.
    20. Huh, S. Y. & Chung, Q. B., 1995. "A model management framework for heterogeneous algebraic models: Object-oriented database management systems approach," Omega, Elsevier, vol. 23(3), pages 235-256, June.

    More about this item

    Statistics

    Access and download statistics

    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:189:y:2008:i:3:p:762-774. 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.