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Equilibrium strategies of the fluid queue with working vacation

Author

Listed:
  • Shuo Wang

    (Yanshan University)

  • Xiuli Xu

    (Yanshan University)

Abstract

The paper considers a fluid model with a working vacation strategy, in which the working vacation period and the busy period appear alternately. When the fluid reaches the system, the net benefits is calculated based on the state of the buffer observed at this time, and then fluid determines whether to enter the buffer. In addition, according to the applicability of the model, the benefit utility function of this paper adopts the exponential form of sojourn time and average queue length. Based on the above conditions, the equilibrium strategies are discussed in both fully observable case and almost observable case considering fluid individual benefit and maximum social benefits per unit time. This paper attempts to make a reasonable proposal for individual and policy makers to realize the optimal benefit through the correlation analysis of the fluid queue model under the working vacation strategy.

Suggested Citation

  • Shuo Wang & Xiuli Xu, 2021. "Equilibrium strategies of the fluid queue with working vacation," Operational Research, Springer, vol. 21(2), pages 1211-1228, June.
    • Handle: RePEc:spr:operea:v:21:y:2021:i:2:d:10.1007_s12351-019-00473-5
    DOI: 10.1007/s12351-019-00473-5
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    References listed on IDEAS

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    1. Constantinos Maglaras, 2006. "Revenue Management for a Multiclass Single-Server Queue via a Fluid Model Analysis," Operations Research, INFORMS, vol. 54(5), pages 914-932, October.
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    3. Edelson, Noel M & Hildebrand, David K, 1975. "Congestion Tolls for Poisson Queuing Processes," Econometrica, Econometric Society, vol. 43(1), pages 81-92, January.
    4. Naor, P, 1969. "The Regulation of Queue Size by Levying Tolls," Econometrica, Econometric Society, vol. 37(1), pages 15-24, January.
    5. 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.
    6. K.V. Vijayashree & A. Anjuka, 2018. "Stationary analysis of a fluid queue driven by an M/M/ 1 /N queue with disaster and subsequent repair," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 31(4), pages 461-477.
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    Cited by:

    1. Gabi Hanukov & Uri Yechiali, 2024. "Orbit while in service," Operational Research, Springer, vol. 24(2), pages 1-32, June.

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