TITLE:
On an M/G/1 Queueing Model with k-Phase Optional Services and Bernoulli Feedback
AUTHORS:
Sayeedeh Abdollahi, Mohammad Reza Salehi Rad
KEYWORDS:
M/G/1 Queue; Bernoulli Feedback; Queue Size; Waiting Time and Busy Period
JOURNAL NAME:
Journal of Service Science and Management,
Vol.5 No.3,
September
19,
2012
ABSTRACT: 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.