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Unreliable single server retrial queueing model with repeated vacation

Author

Listed:
  • J. Ebenesar Anna Bagyam
  • P. Suganthi
  • P. Visali

Abstract

The steady-state behaviour of a single server retrial queueing model with server breakdown and repeated vacation is analysed. If the server is accessible, the customer gets service immediately; otherwise, the customer waits for his turn. After each service, the server may take a vacation with a certain probability. However, if the system is empty, the server takes repeated vacations until the server finds at least one customer in the system. If the server is prone to breakdown, the repair of the server starts immediately. After the repair, the server continues the service to the same customer. The retrial, service, repair, and vacation times are assumed as arbitrary distributed. The steady-state solutions for various performance measures are determined using the supplementary variable method.

Suggested Citation

  • J. Ebenesar Anna Bagyam & P. Suganthi & P. Visali, 2023. "Unreliable single server retrial queueing model with repeated vacation," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 26(3), pages 357-372.
    • Handle: RePEc:ids:ijmore:v:26:y:2023:i:3:p:357-372
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