IDEAS home Printed from https://ideas.repec.org/a/pal/jorsoc/v67y2016i10d10.1057_jors.2016.3.html
   My bibliography  Save this article

Minimizing the passengers’ traveling time in the stop location problem

Author

Listed:
  • Emilio Carrizosa

    (Universidad de Sevilla)

  • Jonas Harbering

    (Georg-August Universität Göttingen)

  • Anita Schöbel

    (Georg-August Universität Göttingen)

Abstract

In this paper we consider the location of stops along the edges of an already existing public transportation network. The positive effect of new stops is given by the better access of the passengers to the public transport network, while the passengers’ traveling time increases due to the additional stopping activities of the trains, which is a negative effect for the passengers. The problem has been treated in the literature where the most common model is to cover all demand points with a minimal number of new stops. In this paper, we follow this line and seek for a set of new stops covering all demand points but instead of minimizing the number of new stops we minimize the additional passengers’ traveling time due to the new stops. For computing this additional traveling time we do not only take the stopping times of the vehicles but also acceleration and deceleration of the vehicles into account. We show that the problem is NP-hard, but we are able to derive a finite candidate set and two tractable IP formulations. For linear networks we show that the problem is polynomially solvable. We also discuss the differences to the common models from literature showing that minimizing the number of new stops does not necessarily lead to a solution with minimal additional traveling times for the passengers. We finally provide a case study showing that our new model decreases the traveling times for the passengers while still achieving the minimal number of new stops.

Suggested Citation

  • Emilio Carrizosa & Jonas Harbering & Anita Schöbel, 2016. "Minimizing the passengers’ traveling time in the stop location problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 67(10), pages 1325-1337, October.
  • Handle: RePEc:pal:jorsoc:v:67:y:2016:i:10:d:10.1057_jors.2016.3
    DOI: 10.1057/jors.2016.3
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1057/jors.2016.3
    File Function: Abstract
    Download Restriction: Access to full text is restricted to subscribers.

    File URL: https://libkey.io/10.1057/jors.2016.3?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. 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.
    2. Dwi Groß & Horst Hamacher & Simone Horn & Anita Schöbel, 2009. "Stop location design in public transportation networks: covering and accessibility objectives," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 17(2), pages 335-346, December.
    3. Murray, Alan T., 2001. "Strategic analysis of public transport coverage," Socio-Economic Planning Sciences, Elsevier, vol. 35(3), pages 175-188, September.
    4. Alan Murray, 2003. "A Coverage Model for Improving Public Transit System Accessibility and Expanding Access," Annals of Operations Research, Springer, vol. 123(1), pages 143-156, October.
    5. John Current & Hasan Pirkul & Erik Rolland, 1994. "Efficient Algorithms for Solving the Shortest Covering Path Problem," Transportation Science, INFORMS, vol. 28(4), pages 317-327, November.
    6. Gleason, John M., 1975. "A set covering approach to bus stop location," Omega, Elsevier, vol. 3(5), pages 605-608, October.
    7. Mark-Christoph Körner & Juan Mesa & Federico Perea & Anita Schöbel & Daniel Scholz, 2014. "A maximum trip covering location problem with an alternative mode of transportation on tree networks and segments," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 22(1), pages 227-253, April.
    8. 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.
    9. Drezner, Zvi & Drezner, Tammy & Wesolowsky, George O., 2009. "Location with acceleration-deceleration distance," European Journal of Operational Research, Elsevier, vol. 198(1), pages 157-164, October.
    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. López-de-los-Mozos, M.C. & Mesa, Juan A. & Schöbel, Anita, 2017. "A general approach for the location of transfer points on a network with a trip covering criterion and mixed distances," European Journal of Operational Research, Elsevier, vol. 260(1), pages 108-121.
    2. M. C. López-de-los-Mozos & Juan A. Mesa, 2022. "To stop or not to stop: a time-constrained trip covering location problem on a tree network," Annals of Operations Research, Springer, vol. 316(2), pages 1039-1061, September.

    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. Hugo M. Repolho & António P. Antunes & Richard L. Church, 2013. "Optimal Location of Railway Stations: The Lisbon-Porto High-Speed Rail Line," Transportation Science, INFORMS, vol. 47(3), pages 330-343, August.
    2. Curtin, Kevin M. & Biba, Steve, 2011. "The Transit Route Arc-Node Service Maximization problem," European Journal of Operational Research, Elsevier, vol. 208(1), pages 46-56, January.
    3. 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.
    4. Matisziw, Timothy C. & Murray, Alan T. & Kim, Changjoo, 2006. "Strategic route extension in transit networks," European Journal of Operational Research, Elsevier, vol. 171(2), pages 661-673, June.
    5. Piotr Kaszczyszyn & Natalia Sypion-Dutkowska, 2019. "Walking Access to Public Transportation Stops for City Residents. A Comparison of Methods," Sustainability, MDPI, vol. 11(14), pages 1-13, July.
    6. Tzay-An Shiau & Ching-Shuan Lee, 2017. "Measuring Network-Based Public Transit Performance Using Fuzzy Measures and Fuzzy Integrals," Sustainability, MDPI, vol. 9(5), pages 1-16, April.
    7. Laporte, G. & Mesa, J.A. & Ortega, F.A. & Perea, F., 2011. "Planning rapid transit networks," Socio-Economic Planning Sciences, Elsevier, vol. 45(3), pages 95-104, September.
    8. M. C. López-de-los-Mozos & Juan A. Mesa, 2022. "To stop or not to stop: a time-constrained trip covering location problem on a tree network," Annals of Operations Research, Springer, vol. 316(2), pages 1039-1061, September.
    9. Dekker, M.M. & van Lieshout, R.N. & Ball, R.C. & Bouman, P.C. & Dekker, S.C. & Dijkstra, H.A. & Goverde, R.M.P. & Huisman, D. & Panja, D. & Schaafsma, A.M. & van den Akker, M., 2018. "A Next Step in Disruption Management: Combining Operations Research and Complexity Science," Econometric Institute Research Papers EI2018-25, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    10. Corman, Francesco & D’Ariano, Andrea & Marra, Alessio D. & Pacciarelli, Dario & Samà, Marcella, 2017. "Integrating train scheduling and delay management in real-time railway traffic control," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 105(C), pages 213-239.
    11. Cacchiani, Valentina & Furini, Fabio & Kidd, Martin Philip, 2016. "Approaches to a real-world Train Timetabling Problem in a railway node," Omega, Elsevier, vol. 58(C), pages 97-110.
    12. Ceder, Avishai (Avi) & Butcher, Matthew & Wang, Lingli, 2015. "Optimization of bus stop placement for routes on uneven topography," Transportation Research Part B: Methodological, Elsevier, vol. 74(C), pages 40-61.
    13. 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.
    14. Lucas P. Veelenturf & Martin P. Kidd & Valentina Cacchiani & Leo G. Kroon & Paolo Toth, 2016. "A Railway Timetable Rescheduling Approach for Handling Large-Scale Disruptions," Transportation Science, INFORMS, vol. 50(3), pages 841-862, August.
    15. Jens Parbo & Otto Anker Nielsen & Carlo Giacomo Prato, 2016. "Passenger Perspectives in Railway Timetabling: A Literature Review," Transport Reviews, Taylor & Francis Journals, vol. 36(4), pages 500-526, July.
    16. Jonas Harbering, 2017. "Delay resistant line planning with a view towards passenger transfers," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 25(3), pages 467-496, October.
    17. Grubesic, Tony H. & Matisziw, Timothy C. & Murray, Alan T., 2012. "Assessing geographic coverage of the essential air service program," Socio-Economic Planning Sciences, Elsevier, vol. 46(2), pages 124-135.
    18. Louwerse, Ilse & Huisman, Dennis, 2014. "Adjusting a railway timetable in case of partial or complete blockades," European Journal of Operational Research, Elsevier, vol. 235(3), pages 583-593.
    19. 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.
    20. Brezina, Tadej & Knoflacher, Hermann, 2014. "Railway trip speeds and areal coverage. The emperor’s new clothes of effectivity?," Journal of Transport Geography, Elsevier, vol. 39(C), pages 121-130.

    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:pal:jorsoc:v:67:y:2016:i:10:d:10.1057_jors.2016.3. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.palgrave-journals.com/ .

    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.