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Strategic Customers in a Transportation Station: When Is It Optimal to Wait?

Author

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  • Athanasia Manou

    (Department of Mathematics, University of Athens, Panepistemiopolis, Athens 15784, Greece)

  • Antonis Economou

    (Department of Mathematics, University of Athens, Panepistemiopolis, Athens 15784, Greece)

  • Fikri Karaesmen

    (Department of Industrial Engineering, Koç University, Sarıyer, Istanbul, 34450, Turkey)

Abstract

We consider a transportation station, where customers arrive according to a Poisson process. A transportation facility visits the station according to a renewal process and serves at each visit a random number of customers according to its capacity. We assume that the arriving customers decide whether to join the station or balk, based on a natural reward-cost structure. We study the strategic behavior of the customers and determine their symmetric Nash equilibrium strategies under two levels of information.

Suggested Citation

  • Athanasia Manou & Antonis Economou & Fikri Karaesmen, 2014. "Strategic Customers in a Transportation Station: When Is It Optimal to Wait?," Operations Research, INFORMS, vol. 62(4), pages 910-925, August.
    • Handle: RePEc:inm:oropre:v:62:y:2014:i:4:p:910-925
    DOI: 10.1287/opre.2014.1280
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    References listed on IDEAS

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    Cited by:

    1. Ayane Nakamura & Tuan Phung-Duc, 2023. "Equilibrium Analysis for Batch Service Queueing Systems with Strategic Choice of Batch Size," Mathematics, MDPI, vol. 11(18), pages 1-22, September.
    2. Dimitrios Logothetis & Antonis Economou, 2023. "The impact of information on transportation systems with strategic customers," Production and Operations Management, Production and Operations Management Society, vol. 32(7), pages 2189-2206, July.
    3. Czerny, Achim I. & Guo, Pengfei & Hassin, Refael, 2022. "Shall firms withhold exact waiting time information from their customers? A transport example," Transportation Research Part B: Methodological, Elsevier, vol. 166(C), pages 128-142.
    4. S. M. Qasim & Jamal A. Farooquie, 2024. "Economics of secondary queue of Indian railways passenger reservation system: a queueing science approach," OPSEARCH, Springer;Operational Research Society of India, vol. 61(4), pages 1795-1824, December.
    5. 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).
    6. Zaiming Liu & Can Cao & Shan Gao, 2019. "Equilibrium Joining Strategies in the Geo / Geo K /1 Queueing System," Mathematics, MDPI, vol. 7(11), pages 1-16, November.
    7. Bu, Qihui & Sun, Yun & Chai, Xudong & Liu, Liwei, 2020. "Strategic behavior and social optimization in a clearing queueing system with N-policy and stochastic restarting scheme," Applied Mathematics and Computation, Elsevier, vol. 381(C).
    8. Opher Baron & Antonis Economou & Athanasia Manou, 2018. "The state-dependent M / G / 1 queue with orbit," Queueing Systems: Theory and Applications, Springer, vol. 90(1), pages 89-123, October.
    9. Olga Bountali & Antonis Economou, 2019. "Strategic customer behavior in a two-stage batch processing system," Queueing Systems: Theory and Applications, Springer, vol. 93(1), pages 3-29, October.
    10. Oz, Binyamin & Adan, Ivo & Haviv, Moshe, 2019. "The Mn/Gn/1 queue with vacations and exhaustive service," European Journal of Operational Research, Elsevier, vol. 277(3), pages 945-952.
    11. Antonis Economou & Athanasia Manou, 2022. "A probabilistic approach for the analysis of the $$M_n/G/1$$ M n / G / 1 queue," Annals of Operations Research, Springer, vol. 317(1), pages 19-27, October.
    12. Canbolat, Pelin G., 2020. "Bounded rationality in clearing service systems," European Journal of Operational Research, Elsevier, vol. 282(2), pages 614-626.
    13. Bountali, Olga & Economou, Antonis, 2017. "Equilibrium joining strategies in batch service queueing systems," European Journal of Operational Research, Elsevier, vol. 260(3), pages 1142-1151.
    14. Olga Bountali & Antonis Economou, 2019. "Equilibrium threshold joining strategies in partially observable batch service queueing systems," Annals of Operations Research, Springer, vol. 277(2), pages 231-253, June.
    15. Feray Tunçalp & Lerzan Örmeci & Evrim D. Güneş, 2024. "Capacity allocation in a two-channel service system from a social planner’s perspective," Queueing Systems: Theory and Applications, Springer, vol. 108(1), pages 185-213, October.
    16. Opher Baron & Antonis Economou & Athanasia Manou, 2022. "Increasing social welfare with delays: Strategic customers in the M/G/1 orbit queue," Production and Operations Management, Production and Operations Management Society, vol. 31(7), pages 2907-2924, July.
    17. 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).
    18. 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).
    19. 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.
    20. Rami Atar & Subhamay Saha, 2017. "An ɛ -Nash Equilibrium with High Probability for Strategic Customers in Heavy Traffic," Mathematics of Operations Research, INFORMS, vol. 42(3), pages 626-647, August.

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