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On an M/G/1 Queueing Model with k-Phase Optional Services and Bernoulli Feedback

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DOI: 10.4236/jssm.2012.53033    3,335 Downloads   5,616 Views   Citations

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.

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S. Abdollahi and M. Rad, "On an M/G/1 Queueing Model with k-Phase Optional Services and Bernoulli Feedback," Journal of Service Science and Management, Vol. 5 No. 3, 2012, pp. 280-288. doi: 10.4236/jssm.2012.53033.

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