IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v249y2016i3p1024-1032.html
   My bibliography  Save this article

Optimization and strategic behavior in a passenger–taxi service system

Author

Listed:
  • Shi, Ying
  • Lian, Zhaotong

Abstract

We study a passenger–taxi problem in this paper. The objective to maximize the social welfare and optimize the allocation of taxi market resources. We analyze the strategic behavior of passengers who decide whether to join the system or balk in both observable and unobservable cases. In observable case, we obtain the optimal selfish threshold that maximizes their individual revenues and give the conditions of the existence of the optimal selfless threshold that maximize the social welfare. In unobservable case, we discuss the equilibrium strategies for the selfish passengers and derive the optimal arrival rate for the socially concerned passengers. Further, we analyze how the government controls the number of taxis by subsidizing taxis or levying a tax on taxis.

Suggested Citation

  • Shi, Ying & Lian, Zhaotong, 2016. "Optimization and strategic behavior in a passenger–taxi service system," European Journal of Operational Research, Elsevier, vol. 249(3), pages 1024-1032.
  • Handle: RePEc:eee:ejores:v:249:y:2016:i:3:p:1024-1032
    DOI: 10.1016/j.ejor.2015.07.031
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377221715006645
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.ejor.2015.07.031?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. Zhou, Wenhui & Lian, Zhaotong & Wu, Jinbiao, 2014. "When should service firms provide free experience service?," European Journal of Operational Research, Elsevier, vol. 234(3), pages 830-838.
    2. Antonio Crescenzo & Virginia Giorno & Balasubramanian Krishna Kumar & Amelia G. Nobile, 2012. "A Double-ended Queue with Catastrophes and Repairs, and a Jump-diffusion Approximation," Methodology and Computing in Applied Probability, Springer, vol. 14(4), pages 937-954, December.
    3. Yang, Hai & Yang, Teng, 2011. "Equilibrium properties of taxi markets with search frictions," Transportation Research Part B: Methodological, Elsevier, vol. 45(4), pages 696-713, May.
    4. Yang, Hai & Leung, Cowina W.Y. & Wong, S.C. & Bell, Michael G.H., 2010. "Equilibria of bilateral taxi-customer searching and meeting on networks," Transportation Research Part B: Methodological, Elsevier, vol. 44(8-9), pages 1067-1083, September.
    5. Wong, R.C.P. & Szeto, W.Y. & Wong, S.C., 2014. "Bi-level decisions of vacant taxi drivers traveling towards taxi stands in customer-search: Modeling methodology and policy implications," Transport Policy, Elsevier, vol. 33(C), pages 73-81.
    6. Senthil Veeraraghavan & Laurens Debo, 2009. "Joining Longer Queues: Information Externalities in Queue Choice," Manufacturing & Service Operations Management, INFORMS, vol. 11(4), pages 543-562, April.
    7. Shone, Rob & Knight, Vincent A. & Williams, Janet E., 2013. "Comparisons between observable and unobservable M/M/1 queues with respect to optimal customer behavior," European Journal of Operational Research, Elsevier, vol. 227(1), pages 133-141.
    8. B. Kashyap, 1967. "Further results for the double ended queue," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 11(1), pages 168-186, December.
    9. U. Narayan Bhat, 1970. "A Controlled Transportation Queueing Process," Management Science, INFORMS, vol. 16(7), pages 446-452, March.
    10. Naor, P, 1969. "The Regulation of Queue Size by Levying Tolls," Econometrica, Econometric Society, vol. 37(1), pages 15-24, January.
    11. Gad Allon & Awi Federgruen, 2007. "Competition in Service Industries," Operations Research, INFORMS, vol. 55(1), pages 37-55, February.
    12. Israel Luski, 1976. "On Partial Equilibrium in a Queuing System with Two Servers," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 43(3), pages 519-525.
    13. B. R. K. Kashyap, 1966. "The Double-Ended Queue with Bulk Service and Limited Waiting Space," Operations Research, INFORMS, vol. 14(5), pages 822-834, October.
    14. Laurens G. Debo & L. Beril Toktay & Luk N. Van Wassenhove, 2008. "Queuing for Expert Services," Management Science, INFORMS, vol. 54(8), pages 1497-1512, August.
    15. Philipp Afèche & Adam Diamant & Joseph Milner, 2014. "Double-Sided Batch Queues with Abandonment: Modeling Crossing Networks," Operations Research, INFORMS, vol. 62(5), pages 1179-1201, 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. Ying Shi & Xin Li & Ping Fan, 2016. "Optimization of an M/M/∞ Queueing System with Free Experience Service," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 33(06), pages 1-17, December.
    2. Hanukov, Gabi & Avinadav, Tal & Chernonog, Tatyana & Yechiali, Uri, 2019. "Performance improvement of a service system via stocking perishable preliminary services," European Journal of Operational Research, Elsevier, vol. 274(3), pages 1000-1011.
    3. Xu, Zhengtian & Yin, Yafeng & Ye, Jieping, 2020. "On the supply curve of ride-hailing systems," Transportation Research Part B: Methodological, Elsevier, vol. 132(C), pages 29-43.
    4. Hanukov, Gabi & Avinadav, Tal & Chernonog, Tatyana & Yechiali, Uri, 2020. "A service system with perishable products where customers are either fastidious or strategic," International Journal of Production Economics, Elsevier, vol. 228(C).
    5. Yang, Qiaoli & Qiao, Zheng & Yang, Bo & Shi, Zhongke, 2021. "Modeling and uncovering the passenger–taxi dynamic queues at taxi station with multiple boarding points using a Markovian environment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 572(C).
    6. Dong, Zhenning & Leng, Mingming, 2021. "Managing on-demand ridesharing operations: Optimal pricing decisions for a ridesharing platform," International Journal of Production Economics, Elsevier, vol. 232(C).
    7. Zhen Wang & Liwei Liu & Yuanfu Shao & Xudong Chai & Baoxian Chang, 2020. "Equilibrium Joining Strategy in a Batch Transfer Queuing System with Gated Policy," Methodology and Computing in Applied Probability, Springer, vol. 22(1), pages 75-99, March.
    8. Sun, Luoyi & Teunter, Ruud H. & Babai, M. Zied & Hua, Guowei, 2019. "Optimal pricing for ride-sourcing platforms," European Journal of Operational Research, Elsevier, vol. 278(3), pages 783-795.
    9. Caballero, William N. & Lunday, Brian J., 2019. "Influence modeling: Mathematical programming representations of persuasion under either risk or uncertainty," European Journal of Operational Research, Elsevier, vol. 278(1), pages 266-282.
    10. Chai, Xudong & Liu, Liwei & Chang, Baoxian & Jiang, Tao & Wang, Zhen, 2019. "On a batch matching system with impatient servers and boundedly rational customers," Applied Mathematics and Computation, Elsevier, vol. 354(C), pages 308-328.
    11. Chai, Xudong & Jiang, Tao & Chang, Baoxian & Liu, Liwei, 2021. "On a multiple priorities matching system with heterogeneous delay sensitive individuals," Applied Mathematics and Computation, Elsevier, vol. 395(C).
    12. Hung Q. Nguyen & Tuan Phung-Duc, 2022. "Strategic customer behavior and optimal policies in a passenger–taxi double-ended queueing system with multiple access points and nonzero matching times," Queueing Systems: Theory and Applications, Springer, vol. 102(3), pages 481-508, December.
    13. Yang, Qiaoli & Yang, Bo & Qiao, Zheng & Tang, Min-an & Gao, Fengyang, 2021. "Impact of possible random factors on queue behaviors of passengers and taxis at taxi stand of transport hubs," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 580(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. Ying Shi & Zhaotong Lian, 2016. "Equilibrium Strategies and Optimal Control for a Double-Ended Queue," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 33(03), pages 1-18, June.
    2. Yang, Qiaoli & Yang, Bo & Qiao, Zheng & Tang, Min-an & Gao, Fengyang, 2021. "Impact of possible random factors on queue behaviors of passengers and taxis at taxi stand of transport hubs," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 580(C).
    3. Chai, Xudong & Liu, Liwei & Chang, Baoxian & Jiang, Tao & Wang, Zhen, 2019. "On a batch matching system with impatient servers and boundedly rational customers," Applied Mathematics and Computation, Elsevier, vol. 354(C), pages 308-328.
    4. Xu, Zhengtian & Yin, Yafeng & Zha, Liteng, 2017. "Optimal parking provision for ride-sourcing services," Transportation Research Part B: Methodological, Elsevier, vol. 105(C), pages 559-578.
    5. Knight, Vincent A. & Harper, Paul R., 2013. "Selfish routing in public services," European Journal of Operational Research, Elsevier, vol. 230(1), pages 122-132.
    6. Yang, Qiaoli & Qiao, Zheng & Yang, Bo & Shi, Zhongke, 2021. "Modeling and uncovering the passenger–taxi dynamic queues at taxi station with multiple boarding points using a Markovian environment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 572(C).
    7. Philipp Afèche & Opher Baron & Yoav Kerner, 2013. "Pricing Time-Sensitive Services Based on Realized Performance," Manufacturing & Service Operations Management, INFORMS, vol. 15(3), pages 492-506, July.
    8. Wang, Haiyan & Olsen, Tava Lennon & Liu, Guiqing, 2018. "Service capacity competition with peak arrivals and delay sensitive customers," Omega, Elsevier, vol. 77(C), pages 80-95.
    9. Vasiliki Kostami & Sampath Rajagopalan, 2014. "Speed–Quality Trade-Offs in a Dynamic Model," Manufacturing & Service Operations Management, INFORMS, vol. 16(1), pages 104-118, February.
    10. Cary Deck & Erik O Kimbrough & Steeve Mongrain, 2014. "Paying for Express Checkout: Competition and Price Discrimination in Multi-Server Queuing Systems," PLOS ONE, Public Library of Science, vol. 9(3), pages 1-13, March.
    11. Heng-Li Liu & Quan-Lin Li, 2023. "Matched Queues with Flexible and Impatient Customers," Methodology and Computing in Applied Probability, Springer, vol. 25(1), pages 1-26, March.
    12. Wenbo Zhang & Satish V. Ukkusuri & Chao Yang, 2018. "Modeling the Taxi Drivers’ Customer-Searching Behaviors outside Downtown Areas," Sustainability, MDPI, vol. 10(9), pages 1-23, August.
    13. Rouba Ibrahim, 2018. "Sharing delay information in service systems: a literature survey," Queueing Systems: Theory and Applications, Springer, vol. 89(1), pages 49-79, June.
    14. Wong, R.C.P. & Szeto, W.Y., 2018. "An alternative methodology for evaluating the service quality of urban taxis," Transport Policy, Elsevier, vol. 69(C), pages 132-140.
    15. Zhu, Zheng & Qin, Xiaoran & Ke, Jintao & Zheng, Zhengfei & Yang, Hai, 2020. "Analysis of multi-modal commute behavior with feeding and competing ridesplitting services," Transportation Research Part A: Policy and Practice, Elsevier, vol. 132(C), pages 713-727.
    16. Tesnim Naceur & Yezekael Hayel, 2020. "Deterministic state-based information disclosure policies and social welfare maximization in strategic queueing systems," Queueing Systems: Theory and Applications, Springer, vol. 96(3), pages 303-328, December.
    17. Laurens Debo & Uday Rajan & Senthil K. Veeraraghavan, 2020. "Signaling Quality via Long Lines and Uninformative Prices," Manufacturing & Service Operations Management, INFORMS, vol. 22(3), pages 513-527, May.
    18. Dimitrakopoulos, Y. & Burnetas, A.N., 2016. "Customer equilibrium and optimal strategies in an M/M/1 queue with dynamic service control," European Journal of Operational Research, Elsevier, vol. 252(2), pages 477-486.
    19. Ting Wang & Yong Zhang & Meiye Li & Lei Liu, 2019. "How Do Passengers with Different Using Frequencies Choose between Traditional Taxi Service and Online Car-Hailing Service? A Case Study of Nanjing, China," Sustainability, MDPI, vol. 11(23), pages 1-18, November.
    20. Xin Liu, 2019. "Diffusion approximations for double-ended queues with reneging in heavy traffic," Queueing Systems: Theory and Applications, Springer, vol. 91(1), pages 49-87, February.

    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:249:y:2016:i:3:p:1024-1032. 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.