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K. C. Madan, “An M/G/1 Queue with Second Optional Service,” Queueing Systems, Vol. 34, No. 1-4, 2000, pp. 37-46. doi:10.1023/A:1019144716929

has been cited by the following article:

• 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.