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Balking and reneging in multiserver Markovian queuing system

Author

Listed:
  • Amit Choudhury
  • Pallabi Medhi

Abstract

In the analysis of many queuing systems, it is assumed that customers who arrive stay on till they receive service. In real life, this does not always happen. We shall assume that customers may balk if service is not instantly available on arrival. Even if a customer joins the system, the customer may renege. In this paper, we consider a multi server Markovian queuing system where the customers may balk as well as renege. Explicit closed form expressions are presented. A numerical problem with design aspects has also been presented to demonstrate results derived.

Suggested Citation

  • Amit Choudhury & Pallabi Medhi, 2011. "Balking and reneging in multiserver Markovian queuing system," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 3(4), pages 377-394.
    • Handle: RePEc:ids:ijmore:v:3:y:2011:i:4:p:377-394
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    Citations

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    Cited by:

    1. Nesrine Zidani & Natalia Djellab, 2024. "Asymptotic upper bounds for an M/M/C/K retrial queue with a guard channel and guard buffer," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 99(3), pages 365-407, June.
    2. V., Saravanan & V., Poongothai & P., Godhandaraman, 2023. "Performance analysis of a multi server retrial queueing system with unreliable server, discouragement and vacation model," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 214(C), pages 204-226.
    3. S. M. Qasim & Jamal A. Farooquie, 2024. "Economics of secondary queue of Indian railways passenger reservation system: a queueing science approach," OPSEARCH, Springer;Operational Research Society of India, vol. 61(4), pages 1795-1824, December.
    4. Vijay Rajan Lumb & Indra Rani, 2022. "Analytically simple solution to discrete-time queue with catastrophes, balking and state-dependent service," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 13(2), pages 783-817, April.

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