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Transient and steady-state analysis of queueing systems with catastrophes and impatient customers

Author

Listed:
  • B. Krishna Kumar
  • S.R. Anantha Lakshmi
  • S. Anbarasu
  • S. Pavai Madheswari

Abstract

Sudhesh (2010) has discussed the transient probabilities for queueing systems subject to catastrophic failures and impatience of customers. However, it contains some errors concerning the terminology and the final forms of the transient probabilities of the system size. In this paper, we correct the errors and obtain the correct results in the work carried out by Sudhesh. In addition, the steady state system size probabilities and performance measures are provided. Finally, two special cases are deduced from the more general queueing model under study.

Suggested Citation

  • B. Krishna Kumar & S.R. Anantha Lakshmi & S. Anbarasu & S. Pavai Madheswari, 2014. "Transient and steady-state analysis of queueing systems with catastrophes and impatient customers," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 6(5), pages 523-549.
    • Handle: RePEc:ids:ijmore:v:6:y:2014:i:5:p:523-549
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    Cited by:

    1. 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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