Study of feedback queueing system with unreliable waiting server under Multiple Differentiated Vacation Policy

Authors

  • Rajni Gupta Baba mastnath university, Asthal bohar, Rohtak
  • Sangeeta Malik Baba Mastnath university, Asthal Bohar, Rohtak

DOI:

https://doi.org/10.23755/rm.v41i0.619

Keywords:

Feedback, differentiated vacations, optimization, Bernoulli schedule.

Abstract

This manuscript analyses a queueing system with Bernoulli schedule feedback of customers, unreliable waiting server under differentiated vacations. The unsatisfied customer may again join the queue with probability α, following Bernoulli schedule. The stationary solution is obtained for the model with aid of Probability Generating function technique. Some important system performance measures are derived and graphical behaviour of these measures with some parameters is analyzed. Finally to obtain the optimal value of service rate for the model, cost optimization is performed through quadratic fit approach.

References

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Published

2021-12-31

Issue

Vol. 41 (2021)

Section

Volume 41-2021

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