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On the Advantage of Being the First Server

Author

Listed:
  • Refael Hassin

    (Department of Statistics and Operations Research, Tel Aviv University, Tel Aviv 69978, Israel)

Abstract

The following example illustrates the problem treated in this paper: Two gas stations are located one after the other on a main road. A driver who needs to fill his rank sees the queue situation at the first station but not at the second one. The driver estimates the expected waiting time at the first station, compares it to the conditional expected waiting time at the second one, and decides which station to enter. The second station is assumed to be on the driver's route so that no extra cost is involved in choosing it. Is it true that the first station always gets a higher share of the demand than the second one? We model the situation in terms of queueing theory and answer the question.

Suggested Citation

  • Refael Hassin, 1996. "On the Advantage of Being the First Server," Management Science, INFORMS, vol. 42(4), pages 618-623, April.
    • Handle: RePEc:inm:ormnsc:v:42:y:1996:i:4:p:618-623
    DOI: 10.1287/mnsc.42.4.618
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    Citations

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    Cited by:

    1. Siddharth Prakash Singh & Mohammad Delasay & Alan Scheller‐Wolf, 2023. "Real‐time delay announcement under competition," Production and Operations Management, Production and Operations Management Society, vol. 32(3), pages 863-881, March.
    2. Mark Fackrell & Peter Taylor & Jiesen Wang, 2021. "Strategic customer behavior in an M/M/1 feedback queue," Queueing Systems: Theory and Applications, Springer, vol. 97(3), pages 223-259, April.
    3. Gallay, Olivier & Hongler, Max-Olivier, 2009. "Circulation of autonomous agents in production and service networks," International Journal of Production Economics, Elsevier, vol. 120(2), pages 378-388, August.
    4. 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.
    5. Roei Engel & Refael Hassin, 2017. "Customer equilibrium in a single-server system with virtual and system queues," Queueing Systems: Theory and Applications, Springer, vol. 87(1), pages 161-180, October.
    6. Zhao, Chen & Wang, Zhongbin, 2023. "The impact of line-sitting on a two-server queueing system," European Journal of Operational Research, Elsevier, vol. 308(2), pages 782-800.
    7. Bara Kim & Jeongsim Kim & Yan Su & Chia-Li Wang, 2023. "Proofs of conjectures on the competition between observable and unobservable servers," Queueing Systems: Theory and Applications, Springer, vol. 104(3), pages 211-238, August.
    8. Hassin, Refael & Roet-Green, Ricky, 2018. "Cascade equilibrium strategies in a two-server queueing system with inspection cost," European Journal of Operational Research, Elsevier, vol. 267(3), pages 1014-1026.
    9. Refael Hassin & Ran I. Snitkovsky, 2017. "Strategic customer behavior in a queueing system with a loss subsystem," Queueing Systems: Theory and Applications, Springer, vol. 86(3), pages 361-387, August.
    10. Luyi Yang & Laurens G. Debo & Varun Gupta, 2019. "Search Among Queues Under Quality Differentiation," Management Science, INFORMS, vol. 65(8), pages 3605-3623, August.

    More about this item

    Keywords

    queues; threshold strategies;

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