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Strategic behavior of customers in a second optional service queue with service interruptions

Author

Listed:
  • P. Vijaya Laxmi

    (Andhra University)

  • E. Girija Bhavani

    (Andhra University)

Abstract

This study considers a single server Markovian queueing system with a second optional service and service interruptions. The service is interrupted during the busy period of both the first essential service and the second optional service. The customer whose service is hindered needs to go through the process from the earliest starting point on consummation of interference or continued from where it has halted. In light of the linear reward cost structure, the customer’s joining strategies are investigated in two cases; in particular, fully unobservable and almost unobservable, as per the server’s state information available to the arriving customers. First, we obtain the stability condition and stationary distribution of the system for those cases. Thereafter, we determine the customer equilibrium strategies, and some numerical illustrations are presented.

Suggested Citation

  • P. Vijaya Laxmi & E. Girija Bhavani, 2024. "Strategic behavior of customers in a second optional service queue with service interruptions," OPSEARCH, Springer;Operational Research Society of India, vol. 61(2), pages 762-784, June.
    • Handle: RePEc:spr:opsear:v:61:y:2024:i:2:d:10.1007_s12597-023-00704-6
    DOI: 10.1007/s12597-023-00704-6
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    References listed on IDEAS

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    1. Harrison White & Lee S. Christie, 1958. "Queuing with Preemptive Priorities or with Breakdown," Operations Research, INFORMS, vol. 6(1), pages 79-95, February.
    2. 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.
    3. 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.
    4. Fiems, Dieter & Maertens, Tom & Bruneel, Herwig, 2008. "Queueing systems with different types of server interruptions," European Journal of Operational Research, Elsevier, vol. 188(3), pages 838-845, August.
    5. Naor, P, 1969. "The Regulation of Queue Size by Levying Tolls," Econometrica, Econometric Society, vol. 37(1), pages 15-24, January.
    6. 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.
    7. 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.
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