IDEAS home Printed from https://ideas.repec.org/a/spr/operea/v21y2021i2d10.1007_s12351-019-00473-5.html
   My bibliography  Save this article

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
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s12351-019-00473-5
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s12351-019-00473-5?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. Wei Sun & Pengfei Guo & Naishuo Tian, 2010. "Equilibrium threshold strategies in observable queueing systems with setup/closedown times," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 18(3), pages 241-268, September.
    2. Edelson, Noel M & Hildebrand, David K, 1975. "Congestion Tolls for Poisson Queuing Processes," Econometrica, Econometric Society, vol. 43(1), pages 81-92, January.
    3. 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.
    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.
    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. Gabi Hanukov & Uri Yechiali, 2024. "Orbit while in service," Operational Research, Springer, vol. 24(2), pages 1-32, June.

    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. Antonis Economou & Athanasia Manou, 2013. "Equilibrium balking strategies for a clearing queueing system in alternating environment," Annals of Operations Research, Springer, vol. 208(1), pages 489-514, September.
    2. 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.
    3. Lian, Zhaotong & Gu, Xinhua & Wu, Jinbiao, 2016. "A re-examination of experience service offering and regular service pricing under profit maximization," European Journal of Operational Research, Elsevier, vol. 254(3), pages 907-915.
    4. Economou, Antonis & Logothetis, Dimitrios & Manou, Athanasia, 2022. "The value of reneging for strategic customers in queueing systems with server vacations/failures," European Journal of Operational Research, Elsevier, vol. 299(3), pages 960-976.
    5. Ghosh, Souvik & Hassin, Refael, 2021. "Inefficiency in stochastic queueing systems with strategic customers," European Journal of Operational Research, Elsevier, vol. 295(1), pages 1-11.
    6. Lingjiao Zhang & Jinting Wang & Yilin Wang, 2023. "Strategic Behavior and Optimization of an M/M/1 Queue with N-Policy and Hysteretic Control," Methodology and Computing in Applied Probability, Springer, vol. 25(4), pages 1-29, December.
    7. 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.
    8. Boudali, Olga & Economou, Antonis, 2012. "Optimal and equilibrium balking strategies in the single server Markovian queue with catastrophes," European Journal of Operational Research, Elsevier, vol. 218(3), pages 708-715.
    9. Gopinath Panda & Veena Goswami, 2022. "Equilibrium Joining Strategies of Positive Customers in a Markovian Queue with Negative Arrivals and Working Vacations," Methodology and Computing in Applied Probability, Springer, vol. 24(3), pages 1439-1466, September.
    10. 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.
    11. Olga Boudali & Antonis Economou, 2013. "The effect of catastrophes on the strategic customer behavior in queueing systems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 60(7), pages 571-587, October.
    12. Refael Hassin, 2022. "Profit maximization and cost balancing in queueing systems," Queueing Systems: Theory and Applications, Springer, vol. 100(3), pages 429-431, April.
    13. 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.
    14. Jalili Marand, Ata & Tang, Ou & Li, Hongyan, 2019. "Quandary of service logistics: Fast or reliable?," European Journal of Operational Research, Elsevier, vol. 275(3), pages 983-996.
    15. 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.
    16. Xinchang Wang & Sigrún Andradóttir & Hayriye Ayhan, 2019. "Optimal pricing for tandem queues with finite buffers," Queueing Systems: Theory and Applications, Springer, vol. 92(3), pages 323-396, August.
    17. Antonis Economou & Spyridoula Kanta, 2011. "Equilibrium customer strategies and social–profit maximization in the single‐server constant retrial queue," Naval Research Logistics (NRL), John Wiley & Sons, vol. 58(2), pages 107-122, March.
    18. Omar Besbes & Costis Maglaras, 2009. "Revenue Optimization for a Make-to-Order Queue in an Uncertain Market Environment," Operations Research, INFORMS, vol. 57(6), pages 1438-1450, December.
    19. Benjamin Legros, 2021. "Agents’ Self‐Routing for Blended Operations to Balance Inbound and Outbound Services," Production and Operations Management, Production and Operations Management Society, vol. 30(10), pages 3599-3614, October.
    20. Jay Pil Choi & Byung‐Cheol Kim, 2010. "Net neutrality and investment incentives," RAND Journal of Economics, RAND Corporation, vol. 41(3), pages 446-471, September.

    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:spr:operea:v:21:y:2021:i:2:d:10.1007_s12351-019-00473-5. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.