Analysis of classical retrial queue with differentiated vacation and state dependent arrival rate.

Authors

  • Poonam Gupta Baba Mastnath University, Asthal Bohar Rohtak India;
  • Naveen Kumar Baba Mastnath University, Asthal Bohar Rohtak India

DOI:

https://doi.org/10.23755/rm.v40i1.607

Keywords:

Retrial queue, markov process, differentiated vacations, exponential distribution etc

Abstract

In present paper we have introduced the concept of differentiated vacations in a retrial queueing model with state dependent arrival rates of customers. The arrival rate of customers is different in various states of the server. The vacation types are differentiated by means of their durations as well as the previous state of the server. In type I vacation, server goes just after providing service to at least one customer whereas in type II, it comes after remaining free for some time. In steady state, we have obtained the system size probabilities and other system performance measures. Finally, sensitivity and cost analysis of the proposed model is also performed. The probability generating function technique, parabolic method and MATLAB is used for the purpose.

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Published

2021-07-04

Issue

Vol. 40 (2021)

Section

Volume 40-2021

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