IDEAS home Printed from https://ideas.repec.org/a/eee/transe/v83y2015icp1-15.html
   My bibliography  Save this article

Design of limited-stop bus service with capacity constraint and stochastic travel time

Author

Listed:
  • Chen, Jingxu
  • Liu, Zhiyuan
  • Zhu, Senlai
  • Wang, Wei

Abstract

This paper develops a mathematical model for the optimal stopping design of limited-stop bus service, which allows each bus vehicle to skip some stops. To better reflect the reality, this paper considers the vehicle capacity and stochastic travel time. Also, vehicles are all allowed to skip stops whereas any stop is not allowed to be skipped by two consecutive vehicles. A hybrid artificial bee colony (ABC) and Monte Carlo method is developed to solve the optimal stopping strategy. Finally, the model and solution method are validated by a numerical example, and a sensitivity analysis is performed on the passenger demand.

Suggested Citation

  • Chen, Jingxu & Liu, Zhiyuan & Zhu, Senlai & Wang, Wei, 2015. "Design of limited-stop bus service with capacity constraint and stochastic travel time," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 83(C), pages 1-15.
    • Handle: RePEc:eee:transe:v:83:y:2015:i:c:p:1-15
    DOI: 10.1016/j.tre.2015.08.007
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S1366554515001635
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.tre.2015.08.007?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. Tirachini, Alejandro & Hensher, David A. & Jara-Díaz, Sergio R., 2010. "Restating modal investment priority with an improved model for public transport analysis," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 46(6), pages 1148-1168, November.
    2. Avishai Ceder & Helman I. Stern, 1981. "Deficit Function Bus Scheduling with Deadheading Trip Insertions for Fleet Size Reduction," Transportation Science, INFORMS, vol. 15(4), pages 338-363, November.
    3. Tétreault, Paul R. & El-Geneidy, Ahmed M., 2010. "Estimating bus run times for new limited-stop service using archived AVL and APC data," Transportation Research Part A: Policy and Practice, Elsevier, vol. 44(6), pages 390-402, July.
    4. Szeto, W.Y. & Jiang, Y., 2014. "Transit route and frequency design: Bi-level modeling and hybrid artificial bee colony algorithm approach," Transportation Research Part B: Methodological, Elsevier, vol. 67(C), pages 235-263.
    5. Niu, Huimin & Zhou, Xuesong & Gao, Ruhu, 2015. "Train scheduling for minimizing passenger waiting time with time-dependent demand and skip-stop patterns: Nonlinear integer programming models with linear constraints," Transportation Research Part B: Methodological, Elsevier, vol. 76(C), pages 117-135.
    6. Tirachini, Alejandro, 2014. "The economics and engineering of bus stops: Spacing, design and congestion," Transportation Research Part A: Policy and Practice, Elsevier, vol. 59(C), pages 37-57.
    7. Cortés, Cristián E. & Jara-Díaz, Sergio & Tirachini, Alejandro, 2011. "Integrating short turning and deadheading in the optimization of transit services," Transportation Research Part A: Policy and Practice, Elsevier, vol. 45(5), pages 419-434, June.
    8. Shinya Kikuchi & Vukan R. Vuchic, 1982. "Transit Vehicle Stopping Regimes and Spacings," Transportation Science, INFORMS, vol. 16(3), pages 311-331, August.
    9. Eberlein, Xu Jun & Wilson, Nigel H. M. & Barnhart, Cynthia & Bernstein, David, 1998. "The real-time deadheading problem in transit operations control," Transportation Research Part B: Methodological, Elsevier, vol. 32(2), pages 77-100, February.
    10. Yang, Hai & Yan Kong, Hoi & Meng, Qiang, 2001. "Value-of-time distributions and competitive bus services," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 37(6), pages 411-424, December.
    11. Lin, Jie & Wang, Peng & Barnum, Darold T., 2008. "A quality control framework for bus schedule reliability," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 44(6), pages 1086-1098, November.
    12. Ibeas, Ángel & dell'Olio, Luigi & Alonso, Borja & Sainz, Olivia, 2010. "Optimizing bus stop spacing in urban areas," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 46(3), pages 446-458, May.
    13. Herbon, Avi & Hadas, Yuval, 2015. "Determining optimal frequency and vehicle capacity for public transit routes: A generalized newsvendor model," Transportation Research Part B: Methodological, Elsevier, vol. 71(C), pages 85-99.
    14. Luigi dell’Olio & Angel Ibeas & Francisco Ruisánchez, 2012. "Optimizing bus-size and headway in transit networks," Transportation, Springer, vol. 39(2), pages 449-464, March.
    15. Sergio Jara-Díaz & Antonio Gschwender, 2003. "Towards a general microeconomic model for the operation of public transport," Transport Reviews, Taylor & Francis Journals, vol. 23(4), pages 453-469, July.
    16. Leiva, Carola & Muñoz, Juan Carlos & Giesen, Ricardo & Larrain, Homero, 2010. "Design of limited-stop services for an urban bus corridor with capacity constraints," Transportation Research Part B: Methodological, Elsevier, vol. 44(10), pages 1186-1201, December.
    17. Peter G. Furth, 1985. "Alternating Deadheading in Bus Route Operations," Transportation Science, INFORMS, vol. 19(1), pages 13-28, February.
    18. Szeto, W.Y. & Wu, Yongzhong & Ho, Sin C., 2011. "An artificial bee colony algorithm for the capacitated vehicle routing problem," European Journal of Operational Research, Elsevier, vol. 215(1), pages 126-135, November.
    Full references (including those not matched with items on IDEAS)

    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. Suman, Hemant & Larrain, Homero & Muñoz, Juan Carlos, 2021. "The impact of using a naïve approach in the limited-stop bus service design problem," Transportation Research Part A: Policy and Practice, Elsevier, vol. 149(C), pages 45-61.
    2. Cortés, Cristián E. & Jara-Díaz, Sergio & Tirachini, Alejandro, 2011. "Integrating short turning and deadheading in the optimization of transit services," Transportation Research Part A: Policy and Practice, Elsevier, vol. 45(5), pages 419-434, June.
    3. Hörcher, Daniel & Tirachini, Alejandro, 2021. "A review of public transport economics," Economics of Transportation, Elsevier, vol. 25(C).
    4. Ibarra-Rojas, O.J. & Delgado, F. & Giesen, R. & Muñoz, J.C., 2015. "Planning, operation, and control of bus transport systems: A literature review," Transportation Research Part B: Methodological, Elsevier, vol. 77(C), pages 38-75.
    5. Tirachini, Alejandro, 2014. "The economics and engineering of bus stops: Spacing, design and congestion," Transportation Research Part A: Policy and Practice, Elsevier, vol. 59(C), pages 37-57.
    6. Yu, Bin & Yang, Zhongzhen & Li, Shan, 2012. "Real-time partway deadheading strategy based on transit service reliability assessment," Transportation Research Part A: Policy and Practice, Elsevier, vol. 46(8), pages 1265-1279.
    7. Tirachini, Alejandro & Hensher, David A., 2011. "Bus congestion, optimal infrastructure investment and the choice of a fare collection system in dedicated bus corridors," Transportation Research Part B: Methodological, Elsevier, vol. 45(5), pages 828-844, June.
    8. Sadrani, Mohammad & Tirachini, Alejandro & Antoniou, Constantinos, 2022. "Vehicle dispatching plan for minimizing passenger waiting time in a corridor with buses of different sizes: Model formulation and solution approaches," European Journal of Operational Research, Elsevier, vol. 299(1), pages 263-282.
    9. Wu, Weitiao & Liu, Ronghui & Jin, Wenzhou & Ma, Changxi, 2019. "Simulation-based robust optimization of limited-stop bus service with vehicle overtaking and dynamics: A response surface methodology," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 130(C), pages 61-81.
    10. Moccia, Luigi & Laporte, Gilbert, 2016. "Improved models for technology choice in a transit corridor with fixed demand," Transportation Research Part B: Methodological, Elsevier, vol. 83(C), pages 245-270.
    11. Wang, David Z.W. & Nayan, Ashish & Szeto, W.Y., 2018. "Optimal bus service design with limited stop services in a travel corridor," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 111(C), pages 70-86.
    12. Hiroaki Nishiuchi & Yasuyuki Kobayashi & Tomoyuki Todoroki & Tomoya Kawasaki, 2018. "Impact analysis of reductions in tram services in rural areas in Japan using smart card data," Public Transport, Springer, vol. 10(2), pages 291-309, August.
    13. Gang Cheng & Shuzhi Zhao & Tao Zhang, 2019. "A Bi-Level Programming Model for Optimal Bus Stop Spacing of a Bus Rapid Transit System," Mathematics, MDPI, vol. 7(7), pages 1-14, July.
    14. Wang, Wensi & Yu, Bin & Zhou, Yu, 2024. "A real-time synchronous dispatching and recharging strategy for multi-line electric bus systems," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 185(C).
    15. Mohammad Sadrani & Ahmad Reza Jafarian-Moghaddam & Mohsen Aboutalebi Esfahani & Amir Masoud Rahimi, 2023. "Designing limited-stop bus services for minimizing operator and user costs under crowding conditions," Public Transport, Springer, vol. 15(1), pages 97-128, March.
    16. Fielbaum, Andrés & Tirachini, Alejandro & Alonso-Mora, Javier, 2023. "Economies and diseconomies of scale in on-demand ridepooling systems," Economics of Transportation, Elsevier, vol. 34(C).
    17. Parbo, Jens & Nielsen, Otto A. & Prato, Carlo G., 2018. "Reducing passengers’ travel time by optimising stopping patterns in a large-scale network: A case-study in the Copenhagen Region," Transportation Research Part A: Policy and Practice, Elsevier, vol. 113(C), pages 197-212.
    18. Fielbaum, Andres, 2024. "On the relationship between free public transport, stop spacing, and optimal frequencies," Transportation Research Part B: Methodological, Elsevier, vol. 183(C).
    19. Vee-Liem Saw & Lock Yue Chew, 2020. "No-boarding buses: Synchronisation for efficiency," PLOS ONE, Public Library of Science, vol. 15(3), pages 1-34, March.
    20. Alejandro Tirachini & Cristián Cortés & Sergio Jara-Díaz, 2011. "Optimal design and benefits of a short turning strategy for a bus corridor," Transportation, Springer, vol. 38(1), pages 169-189, January.

    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:transe:v:83:y:2015:i:c:p:1-15. 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/wps/find/journaldescription.cws_home/600244/description#description .

    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.