A Discrete Time Retrial Queueing System Starting Failures, Bernoulli Feedback with General Retrial Times and a Vacation

EasyChair Preprint 7263

Abstract

This article  is concerned with a discrete time Geo/G/1 retrial queue  with general retrial times, Bernoulli feedback and the server subject to starting failures and a vacation. In this article we generalize the previous works in discrete time retrial queue with unreliable serverm due to starting failures in the sense that we consider  general service with Bernoulli feed back and general rtrial times with single vacation. In this model arrival time follows geometrical distribution and vacation times are generally distributed. In this model the PGF is derived  by using generaing function technique  and also we obtain  the analytical expression for mean queue length in performance measure. In numerical examples we analyzed the effectis of mean queue length in several possible ways.

Keyphrases: Bernoulli feedback, Discrete-time retrial queue, Markov chain, Unreliable server, mean queue length

@booklet{EasyChair:7263,
  author    = {Pappnnan Gunasekaran and Sinnasamy Murugesan},
  title     = {A Discrete Time Retrial Queueing System Starting Failures, Bernoulli Feedback with General Retrial Times and a Vacation},
  howpublished = {EasyChair Preprint 7263},
  year      = {EasyChair, 2021}}