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A study on phases of service and multi-vacation policy in a non-Markovian queuing system

Author

Listed:
  • S. Maragathasundari
  • S. Kishore Eswar
  • R.S. Somasundaram

Abstract

This paper manages the queuing issue of various vacation policies. Clients showing up in clumps follow a Poisson distribution. Administration, on the other hand, follows a general distribution, rendered in two phases in which the second phase of administration is discretionary. Here, during the vacation period, the support work of the server is completed. Also 'get-away' is presented in two classifications, viz. compulsory vacation and broadened vacation, both following general conveyance. Expanded vacation is regarded to have two phases, in which the second phase of broadened get-away is of the server's decision. Set up time arrange is presented on the early stage of expanded vacation and with the idea of reneging occurring during the second phase of broadened vacation. The issue is solved by strengthening the variable technique and queue measures with the force parameter, mean inactive time, mean number of clients, and mean waiting time in the queue, determined in the system. The paper contains the numerical depiction and graphical appraisal that supports the model.

Suggested Citation

  • S. Maragathasundari & S. Kishore Eswar & R.S. Somasundaram, 2022. "A study on phases of service and multi-vacation policy in a non-Markovian queuing system," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 21(4), pages 444-465.
    • Handle: RePEc:ids:ijmore:v:21:y:2022:i:4:p:444-465
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