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Analysis of Markovian queueing model with two phase of services, single and multiple working vacations and customer balking

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  • K. Baby Saroja
  • V. Suvitha

Abstract

We analyse a single server balking queueing model with featuring two phases of service in series. During the first phase, customers receive individual service, and in the second phase, they have the option to choose between two distinct services based on their specific needs and receive batch service. To optimise resource utilisation, the server enters a working vacation when there is no customer in the system. We apply the probability generating method to comprehensively analyse the system, considering both single and multiple working vacation. This research underscores the application's adaptability in addressing intricate data processing challenges within the queuing framework. Furthermore, we provide numerical results to demonstrate how the model performs under various conditions.

Suggested Citation

  • K. Baby Saroja & V. Suvitha, 2025. "Analysis of Markovian queueing model with two phase of services, single and multiple working vacations and customer balking," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 32(3), pages 277-293.
    • Handle: RePEc:ids:ijmore:v:32:y:2025:i:3:p:277-293
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