Approximation of M/G/c Retrial Queue with M/PH/c Retrial Queue
نویسندگان
چکیده
منابع مشابه
On the Single-server Retrial Queue
In this work, we review the stochastic decomposition for the number of customers in M/G/1 retrial queues with reliable server and server subjected to breakdowns which has been the subject of investigation in the literature. Using the decomposition property of M/G/1 retrial queues with breakdowns that holds under exponential assumption for retrial times as an approximation in the non-exponential...
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We consider a GI/G/c/K-type retrial queueing system with constant retrial rate. The system consists of a primary queue and an orbit queue. The primary queue has c identical servers and can accommodate the maximal number of K jobs. If a newly arriving job finds the full primary queue, it joins the orbit. The original primary jobs arrive to the system according to a renewal process. The jobs have...
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Abstract Define the traffic intensity as the ratio of the arrival rate to the service rate. This paper shows that the BMAP/PH/s/s+K retrial queue with PH-retrial times is ergodic if and only if its traffic intensity is less than one. The result implies that the BMAP/PH/s/s+K retrial queue with PH-retrial times and the corresponding BMAP/PH/s queue have the same condition for ergodicity, a fact ...
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Abstract: We consider a discrete-time 1 X Geo G retrial queue with general retrial times, and introduce working vacations and vacation interruption policy into the retrial queue. Firstly, we analyze the stationary condition for the embedded Markov chain at the departure epochs. Secondly, using supplementary variable method, we obtain the stationary probability distribution and some performance ...
متن کاملA Single Server Retrial Queue in Bernoulli Schedule With Feedback on Non-Retrial Customers
In this paper, we consider an M/G/1 retrial queue with Bernoulli feedback and general retrial times where the external arrivals blocked either with probability q join the infinite waiting room called non-retrial queue or with probability p, (p+q = 1) leave the service area and enter the retrial group called orbit in FIFO discipline. Also we assume that only the customer at the head of the orbit...
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ژورنال
عنوان ژورنال: Communications for Statistical Applications and Methods
سال: 2012
ISSN: 2287-7843
DOI: 10.5351/ckss.2012.19.1.169