IDEAS home Printed from https://ideas.repec.org/a/bpj/jossai/v8y2020i3p273-290n5.html
   My bibliography  Save this article

Strategic Behavior and Optimization in an Unobservable Constant Retrial Queue with Balking and Set-Up Time

Author

Listed:
  • Wang Linlin
  • Liu Liwei
  • Wang Zhen
  • Chai Xudong

    (School of Science, Nanjing University of Science and Technology, Nanjing, 210094, China)

Abstract

An M/M/1 constant retrial queue with balking customers and set-up time is considered. Once the system becomes empty, the server will be turned down to reduce operating costs, and it will be activated only when there is a customers arrives. In this paper, the almost unobservable case is studied, in which the information of the queue length is unavailable, whereas the state of the server can be obtained. Firstly, the steady state solutions are derived and the individual equilibrium strategies are analyzed. In addition, social optimization problems, including cost analysis and social welfare maximization are investigated by using the PSO algorithm. Finally, by appropriate numerical examples, the sensitivity of some main system parameters is shown.

Suggested Citation

  • Wang Linlin & Liu Liwei & Wang Zhen & Chai Xudong, 2020. "Strategic Behavior and Optimization in an Unobservable Constant Retrial Queue with Balking and Set-Up Time," Journal of Systems Science and Information, De Gruyter, vol. 8(3), pages 273-290, June.
    • Handle: RePEc:bpj:jossai:v:8:y:2020:i:3:p:273-290:n:5
    DOI: 10.21078/JSSI-2020-273-18
    as

    Download full text from publisher

    File URL: https://doi.org/10.21078/JSSI-2020-273-18
    Download Restriction: no
    File URL: https://libkey.io/10.21078/JSSI-2020-273-18?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
    ---><---

    References listed on IDEAS

    as
    1. Naor, P, 1969. "The Regulation of Queue Size by Levying Tolls," Econometrica, Econometric Society, vol. 37(1), pages 15-24, January.
    2. 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.
    3. Edelson, Noel M & Hildebrand, David K, 1975. "Congestion Tolls for Poisson Queuing Processes," Econometrica, Econometric Society, vol. 43(1), pages 81-92, January.
    Full references (including those not matched with items on IDEAS)

    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. 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.
    2. 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.
    3. Xianyue Shi & Liwei Liu, 2023. "Equilibrium Joining Strategies in the Retrial Queue with Two Classes of Customers and Delayed Vacations," Methodology and Computing in Applied Probability, Springer, vol. 25(2), pages 1-27, June.
    4. Shan Gao & Hua Dong & Xianchao Wang, 2021. "Equilibrium and pricing analysis for an unreliable retrial queue with limited idle period and single vacation," Operational Research, Springer, vol. 21(1), pages 621-643, March.
    5. Zhen Wang & Liwei Liu & Yiqiang Q. Zhao, 2022. "Equilibrium customer and socially optimal balking strategies in a constant retrial queue with multiple vacations and N-policy," Journal of Combinatorial Optimization, Springer, vol. 43(4), pages 870-908, May.
    6. Yoav Kerner & Ophir Shmuel-Bittner, 2020. "Strategic behavior and optimization in a hybrid M/M/1 queue with retrials," Queueing Systems: Theory and Applications, Springer, vol. 96(3), pages 285-302, December.
    7. Refael Hassin & Ran I. Snitkovsky, 2020. "Social and Monopoly Optimization in Observable Queues," Operations Research, INFORMS, vol. 68(4), pages 1178-1198, July.
    8. 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.
    9. Sheng Zhu & Jinting Wang & Bin Liu, 2020. "Equilibrium joining strategies in the Mn/G/1 queue with server breakdowns and repairs," Operational Research, Springer, vol. 20(4), pages 2163-2187, December.
    10. Refael Hassin, 2022. "Profit maximization and cost balancing in queueing systems," Queueing Systems: Theory and Applications, Springer, vol. 100(3), pages 429-431, April.
    11. Manlu Chen & Ming Hu & Jianfu Wang, 2022. "Food Delivery Service and Restaurant: Friend or Foe?," Management Science, INFORMS, vol. 68(9), pages 6539-6551, September.
    12. Refael Hassin & Ricky Roet-Green, 2017. "The Impact of Inspection Cost on Equilibrium, Revenue, and Social Welfare in a Single-Server Queue," Operations Research, INFORMS, vol. 65(3), pages 804-820, June.
    13. Hassin, Refael & Haviv, Moshe & Oz, Binyamin, 2023. "Strategic behavior in queues with arrival rate uncertainty," European Journal of Operational Research, Elsevier, vol. 309(1), pages 217-224.
    14. 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.
    15. 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.
    16. 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.
    17. van Ackere, Ann, 1995. "Capacity management: Pricing strategy, performance and the role of information," International Journal of Production Economics, Elsevier, vol. 40(1), pages 89-100, June.
    18. Kraig Delana & Nicos Savva & Tolga Tezcan, 2021. "Proactive Customer Service: Operational Benefits and Economic Frictions," Manufacturing & Service Operations Management, INFORMS, vol. 23(1), pages 70-87, 1-2.
    19. Christian Haxholdt & Erik R. Larsen & Ann van Ackere, 2003. "Mode Locking and Chaos in a Deterministic Queueing Model with Feedback," Management Science, INFORMS, vol. 49(6), pages 816-830, June.
    20. Nam H. Do & Tien Do & Agassi Melikov, 2020. "Equilibrium customer behavior in the M/M/1 retrial queue with working vacations and a constant retrial rate," Operational Research, Springer, vol. 20(2), pages 627-646, June.

    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:bpj:jossai:v:8:y:2020:i:3:p:273-290:n: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: Peter Golla (email available below). General contact details of provider: https://www.degruyter.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.