Study of feedback retrial queueing system with working vacation, setup time, and perfect repair

Authors

  • Poonam Gupta HINDU GIRLS COLLEGE, SONIPAT, INDIA

DOI:

https://doi.org/10.23755/rm.v41i0.655

Keywords:

Retrial, working vacation, feedback, setup time etc

Abstract

This manuscript analyses a retrial queueing system with working vacation, interruption, feedback, and setup time with the perfect repair. In the proposed model, the server takes vacation whenever the system gets empty but it still serves the customers at a relatively lower speed. The concept of power saving is included in the model. To save the power the server is turned off immediately on being empty at vacation completion instant. The customer who arrives when the system is turned off activates the server and he has to wait for his turn till the server is turned on. The unreliable server may sometimes fail to activate during setup. It is then sent for repair and repaired server immediately starts serving the waiting customers. Using probability generating function, explicit expressions for system size and different states of server for the model are obtained and results are analyzed graphically using MATLAB software.

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Published

2021-12-31

Issue

Vol. 41 (2021)

Section

Volume 41-2021

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