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Endogenous arrivals in batch queues with constant or variable capacity

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  • Rapoport, Amnon
  • Stein, William E.
  • Mak, Vincent
  • Zwick, Rami
  • Seale, Darryl A.

Abstract

We study batch queueing systems with continuous time, finite commuter populations, single server, and endogenously determined arrival times. Symmetric equilibrium solutions in mixed strategies are constructed and subsequently tested in two experiments that examine two different batch queueing models, one with a fixed server capacity, and the other with a variable server capacity. With experience in playing the stage queueing game repeatedly, experimental results from groups of 20 subjects support equilibrium play on the aggregate level when the server capacity is fixed and commonly known. When it is known to be variable, randomly changing from round to round, subjects diverge from equilibrium play and increase their individual payoffs substantially by significantly shortening their waiting time.

Suggested Citation

  • Rapoport, Amnon & Stein, William E. & Mak, Vincent & Zwick, Rami & Seale, Darryl A., 2010. "Endogenous arrivals in batch queues with constant or variable capacity," Transportation Research Part B: Methodological, Elsevier, vol. 44(10), pages 1166-1185, December.
    • Handle: RePEc:eee:transb:v:44:y:2010:i:10:p:1166-1185
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    References listed on IDEAS

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    Cited by:

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    2. Delgado-Alvarez, Carlos A. & van Ackere, Ann & Larsen, Erik R & Arango-Aramburo, Santiago, 2017. "Managing capacity at a service facility: An experimental approach," European Journal of Operational Research, Elsevier, vol. 259(1), pages 216-228.
    3. repec:cup:judgdm:v:11:y:2016:i:3:p:260-274 is not listed on IDEAS
    4. Moshe Haviv & Liron Ravner, 2021. "A survey of queueing systems with strategic timing of arrivals," Queueing Systems: Theory and Applications, Springer, vol. 99(1), pages 163-198, October.
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    6. Anna Conte & Marco Scarsini & Oktay Sürücü, 2014. "An Experimental Investigation into Queueing Behavior," Jena Economics Research Papers 2014-030, Friedrich-Schiller-University Jena.
    7. Conte, Anna & Scarsini, Marco & Sürücü, Oktay, 2015. "Does time pressure impair performance? An experiment on queueing behavior," Center for Mathematical Economics Working Papers 538, Center for Mathematical Economics, Bielefeld University.
    8. Sun, Xiaoyan & Han, Xiao & Bao, Jian-Zhang & Jiang, Rui & Jia, Bin & Yan, Xiaoyong & Zhang, Boyu & Wang, Wen-Xu & Gao, Zi-You, 2017. "Decision dynamics of departure times: Experiments and modeling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 483(C), pages 74-82.
    9. 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.
    10. Sun, Xiaoyan & Li, Wentao & Jiang, Rui & Zhu, Yubing & Chen, Dong, 2022. "Study on the influence of road capacity and information feedback on urban traffic system equilibrium state," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 593(C).

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