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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
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    References listed on IDEAS

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    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. 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.
    4. 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.
    5. Murray, Alan T., 2001. "Strategic analysis of public transport coverage," Socio-Economic Planning Sciences, Elsevier, vol. 35(3), pages 175-188, September.
    6. 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.
    7. 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.
    8. 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.
    9. Gleason, John M., 1975. "A set covering approach to bus stop location," Omega, Elsevier, vol. 3(5), pages 605-608, October.
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    Cited by:

    1. 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.
    2. 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.

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