A single server instantaneous bernoulli feedback queue with multiple vacation

Abstract

A single server infinite capacity queueing system with Poisson arrival and a general service time distribution along with Bernoulli feedback decision process is considered. As soon as the server becomes idle he leaves for a vacation and the duration of the vacation follows a general distribution Stationary distribution of the output process as well as results for particular cases are obtained. Some operating characteristics are derived and numerical results are presented to test the feasibility of the queueing model.

Keywords:

• Bernoulli process
• queue length
• vacation
• stationary distribution
• embedded Markov chain