Author(s)

Sayeedeh Abdollahi, Mohammad Reza Salehi Rad

Department of Statistics, Allameh Tabataba’i University, Tehran, Iran..

In this article an M/G/1 queueing model with single server, Poisson input, k-phases of heterogeneous services and Bernoulli feedback design has been considered. For this model, we derive the steady-state probability generating function (PGF) of queue size at the random epoch and at the service completion epoch. Then, we derive the Laplace-Stieltjes Transform (LST) of the distribution of response time, the means of response time, number of customers in the system and busy period.

M/G/1 Queue; Bernoulli Feedback; Queue Size; Waiting Time and Busy Period

Abdollahi, S. and Rad, M. (2012) On an M/G/1 Queueing Model with k-Phase Optional Services and Bernoulli Feedback. Journal of Service Science and Management, 5, 280-288. doi: 10.4236/jssm.2012.53033.