IDEAS home Printed from https://ideas.repec.org/a/spr/queues/v82y2016i1d10.1007_s11134-015-9465-7.html
   My bibliography  Save this article

Two-choice regulation in heterogeneous closed networks

Author

Listed:
  • Christine Fricker

    (INRIA Paris-Rocquencourt)

  • Nicolas Servel

    (INRIA Paris-Rocquencourt)

Abstract

A heterogeneous closed network with N one-server queues with finite capacity and one infinite-server queue is studied. A target application is bike-sharing systems. Heterogeneity is taken into account through clusters queues of which have the same parameters. Incentives to the customer to go to the least-loaded one-server queue between two chosen within a cluster are investigated. By mean-field arguments, the limiting queue length stationary distribution as N gets large is analytically tractable. Moreover, when all customers follow incentives, the probability that a queue is empty or full is approximated. Sizing the system to improve performance is achievable under this policy.

Suggested Citation

  • Christine Fricker & Nicolas Servel, 2016. "Two-choice regulation in heterogeneous closed networks," Queueing Systems: Theory and Applications, Springer, vol. 82(1), pages 173-197, February.
    • Handle: RePEc:spr:queues:v:82:y:2016:i:1:d:10.1007_s11134-015-9465-7
    DOI: 10.1007/s11134-015-9465-7
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s11134-015-9465-7
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s11134-015-9465-7?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. Tal Raviv & Ofer Kolka, 2013. "Optimal inventory management of a bike-sharing station," IISE Transactions, Taylor & Francis Journals, vol. 45(10), pages 1077-1093.
    2. Jonatha Anselmi & Bernardo D'Auria & Neil Walton, 2013. "Closed Queueing Networks Under Congestion: Nonbottleneck Independence and Bottleneck Convergence," Mathematics of Operations Research, INFORMS, vol. 38(3), pages 469-491, August.
    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. Legros, Benjamin, 2019. "Dynamic repositioning strategy in a bike-sharing system; how to prioritize and how to rebalance a bike station," European Journal of Operational Research, Elsevier, vol. 272(2), pages 740-753.
    2. Quan-Lin Li & Rui-Na Fan, 2022. "A mean-field matrix-analytic method for bike sharing systems under Markovian environment," Annals of Operations Research, Springer, vol. 309(2), pages 517-551, February.
    3. Bacem Samet & Florent Couffin & Marc Zolghadri & Maher Barkallah & Mohamed Haddar, 2018. "Performance Analysis and Improvement of the Bike Sharing System Using Closed Queuing Networks with Blocking Mechanism," Sustainability, MDPI, vol. 10(12), pages 1-26, December.

    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. Ahmed Kheiri & Alina G. Dragomir & David Mueller & Joaquim Gromicho & Caroline Jagtenberg & Jelke J. Hoorn, 2019. "Tackling a VRP challenge to redistribute scarce equipment within time windows using metaheuristic algorithms," EURO Journal on Transportation and Logistics, Springer;EURO - The Association of European Operational Research Societies, vol. 8(5), pages 561-595, December.
    2. Forma, Iris A. & Raviv, Tal & Tzur, Michal, 2015. "A 3-step math heuristic for the static repositioning problem in bike-sharing systems," Transportation Research Part B: Methodological, Elsevier, vol. 71(C), pages 230-247.
    3. Levy, Nadav & Golani, Chen & Ben-Elia, Eran, 2019. "An exploratory study of spatial patterns of cycling in Tel Aviv using passively generated bike-sharing data," Journal of Transport Geography, Elsevier, vol. 76(C), pages 325-334.
    4. Saif Benjaafar & Daniel Jiang & Xiang Li & Xiaobo Li, 2022. "Dynamic Inventory Repositioning in On-Demand Rental Networks," Management Science, INFORMS, vol. 68(11), pages 7861-7878, November.
    5. Schuijbroek, J. & Hampshire, R.C. & van Hoeve, W.-J., 2017. "Inventory rebalancing and vehicle routing in bike sharing systems," European Journal of Operational Research, Elsevier, vol. 257(3), pages 992-1004.
    6. Stokkink, Patrick & Geroliminis, Nikolas, 2021. "Predictive user-based relocation through incentives in one-way car-sharing systems," Transportation Research Part B: Methodological, Elsevier, vol. 149(C), pages 230-249.
    7. Anton Braverman & J. G. Dai & Xin Liu & Lei Ying, 2019. "Empty-Car Routing in Ridesharing Systems," Operations Research, INFORMS, vol. 67(5), pages 1437-1452, September.
    8. Yongji Jia & Wang Zeng & Yanting Xing & Dong Yang & Jia Li, 2020. "The Bike-Sharing Rebalancing Problem Considering Multi-Energy Mixed Fleets and Traffic Restrictions," Sustainability, MDPI, vol. 13(1), pages 1-15, December.
    9. William A. Massey & Emmanuel Ekwedike & Robert C. Hampshire & Jamol J. Pender, 2023. "A transient symmetry analysis for the M/M/1/k queue," Queueing Systems: Theory and Applications, Springer, vol. 103(1), pages 1-43, February.
    10. Jia Shu & Mabel C. Chou & Qizhang Liu & Chung-Piaw Teo & I-Lin Wang, 2013. "Models for Effective Deployment and Redistribution of Bicycles Within Public Bicycle-Sharing Systems," Operations Research, INFORMS, vol. 61(6), pages 1346-1359, December.
    11. Christine Fricker & Nicolas Gast, 2016. "Incentives and redistribution in homogeneous bike-sharing systems with stations of finite capacity," EURO Journal on Transportation and Logistics, Springer;EURO - The Association of European Operational Research Societies, vol. 5(3), pages 261-291, August.
    12. Rajendran, Suchithra & Srinivas, Sharan & Grimshaw, Trenton, 2021. "Predicting demand for air taxi urban aviation services using machine learning algorithms," Journal of Air Transport Management, Elsevier, vol. 92(C).
    13. Daniel Freund & Shane G. Henderson & Eoin O’Mahony & David B. Shmoys, 2019. "Analytics and Bikes: Riding Tandem with Motivate to Improve Mobility," Interfaces, INFORMS, vol. 49(5), pages 310-323, September.
    14. Bruno Albert Neumann-Saavedra & Teodor Gabriel Crainic & Bernard Gendron & Dirk Christian Mattfeld & Michael Römer, 2020. "Integrating Resource Management in Service Network Design for Bike-Sharing Systems," Transportation Science, INFORMS, vol. 54(5), pages 1251-1271, September.
    15. Kaspi, Mor & Raviv, Tal & Tzur, Michal & Galili, Hila, 2016. "Regulating vehicle sharing systems through parking reservation policies: Analysis and performance bounds," European Journal of Operational Research, Elsevier, vol. 251(3), pages 969-987.
    16. Nourinejad, Mehdi & Zhu, Sirui & Bahrami, Sina & Roorda, Matthew J., 2015. "Vehicle relocation and staff rebalancing in one-way carsharing systems," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 81(C), pages 98-113.
    17. Elżbieta Macioszek & Paulina Świerk & Agata Kurek, 2020. "The Bike-Sharing System as an Element of Enhancing Sustainable Mobility—A Case Study based on a City in Poland," Sustainability, MDPI, vol. 12(8), pages 1-29, April.
    18. Liangpeng Gao & Yanjie Ji & Xingchen Yan & Yao Fan & Weihong Guo, 2021. "Incentive measures to avoid the illegal parking of dockless shared bikes: the relationships among incentive forms, intensity and policy compliance," Transportation, Springer, vol. 48(2), pages 1033-1060, April.
    19. Alvarez-Valdes, Ramon & Belenguer, Jose M. & Benavent, Enrique & Bermudez, Jose D. & Muñoz, Facundo & Vercher, Enriqueta & Verdejo, Francisco, 2016. "Optimizing the level of service quality of a bike-sharing system," Omega, Elsevier, vol. 62(C), pages 163-175.
    20. Regue, Robert & Recker, Will, 2014. "Proactive vehicle routing with inferred demand to solve the bikesharing rebalancing problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 72(C), pages 192-209.

    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:spr:queues:v:82:y:2016:i:1:d:10.1007_s11134-015-9465-7. 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.springer.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.