Statistical Inference in M/M/1 Queues: A Bayesian Approach

Choudhury, Amit; Borthakur, Arun

doi:10.1080/01966324.2007.10737686

Cited by 6 publications

(2 citation statements)

References 11 publications

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“…Many researchers paid their attention toward this direction. ayyappan &Shyamala [1], Choudhury & Paul [4], Thangaraj &Vanitha [11] and Kumari &Garg [5] studied a number of queueing systems with feedback.…”

Section: Introductionmentioning

confidence: 99%

Graphical Solution and Busy Period Analysis of a Queueing Model With Feedback and Reneging

Jindal

Garg

Kaur

2015

MJIS

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In the present paper, a busy period of a feedback queueing model is studied. The busy period is to begin with the arrival of customer to an idle system and to an end when the system next becomes idle. The customers arrive according to poisson process and are served by a single server according to an exponential distribution. Sometimes the customers get impatience and leave the queue without getting service with fixed probability. The probability generating function of busy period by using laplace transformation and the graphical solution of the problem are obtained. Few interesting cases are also derived to match our results with earlier published work.

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Section: Introductionmentioning

confidence: 99%

Graphical Solution and Busy Period Analysis of a Queueing Model With Feedback and Reneging

Jindal

Garg

Kaur

2015

MJIS

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“…Kinateder and Lee [15] provided a new approach to the computation of the Laplace transform of the length of the busy period of the M/M/1 queue with constrained workload (finite dam) without the use of complex analysis. Choudhury and Borthakur [4] dealt with statistical inference with regard to the classical single server Markovian queueing model. Ghimire and Ghimire [7] dealt with the study of M/M/1 queue with heterogeneous arrival and departure with the provision of server vacations and breakdowns customer arrive service facilities with poison process and exponential service time distribution.…”

Section: Introductionmentioning

confidence: 99%

M(t)/M/1 Queueing System with Sinusoidal Arrival Rate

Pant

Ghimire

2016

J. Inst. Engineering

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This paper deals with the study of M (t)/M/1 queueing system with customers arrive to the system with sinusoidal arrival rate function λ (t) and are served exponentially with the rate . On formulating the mathematical model, we obtain the expressions for mean waiting time in the queue, mean time spent in the system, mean number of customers in the queue and in the system by using recursive method. Some numerical illustrations are also obtained by using computing software so as to show the applicability of the model under study.

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