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Analysis of MAP/PH/1 retrial queueing system with two-stage vacations with imperfect service, N-policy service, delayed feedback, unreliable server and discouragement customer

Author

Listed:
  • G. Ayyappan
  • N. Arulmozhi

Abstract

In the present study, we investigate a continuous-time single server constant retrial queueing with a limitless system of capacity, two-stage vacations that include single working vacation and multiple vacations with imperfect service, N-policy service, delayed feedback, unreliable server, and discouragement customer. Once the operating environment is empty during a normal busy period, it initially takes a working vacation, during which the server can still provide service but at a slower rate. If the system is empty after this working vacation, the server will take a vacation and stop serving entirely. Otherwise, the server resumes its normal service rate. If there are fewer than N customers in orbit after the vacation period ends, the server resumes normal operation. If not, the server starts another vacation. When approaching the system using the matrix-analytic method, steady-state vector, busy period, and cost analysis are generated for this model. Analytical performance indices are assessed numerically.

Suggested Citation

  • G. Ayyappan & N. Arulmozhi, 2025. "Analysis of MAP/PH/1 retrial queueing system with two-stage vacations with imperfect service, N-policy service, delayed feedback, unreliable server and discouragement customer," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 30(1), pages 81-110.
    • Handle: RePEc:ids:ijmore:v:30:y:2025:i:1:p:81-110
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