Modified Bernoulli vacation batch arrival and retrial clients in a single server queuing model with server utilization
نویسندگان
چکیده
منابع مشابه
A Batch Arrival Retrial Queue with Bernoulli Vacation Policy and Server Breakdown*
This paper examines the operating characteristics of an M/G/1 retrial queueing system under Bernoulli vacation schedule with setup times. The server renders first phase of essential service (FPS) to all the arriving units whereas second phase of multi-optional services (SPS) to only some of them who demand for the same. The server may breakdown according to Poisson process in working state i.e....
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A single server queue with Bernoulli vacation has been considered. In addition the admission to queue is based on a Bernoulli process and the server gives two type of services. For this model the probability generating function for the number of customers in the queue at different server's state are obtained using supplementary variable technique. Some performance measures are calculated. Some ...
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This paper deals with batch arrival unreliable queue with two phases of service and vacation under Bernoulli vacation schedule, which consist of a breakdown period and a delay period. For this model, we first derive the joint distribution of state of the server and queue size, which is one of the chief objectives of this paper. Secondly, we derive the pgf of the stationary queue size distribu...
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Many authors have analyzed queueing systems with server breakdowns. Kendall (1953) studied stochastic processes occurring in the theory of queues and their analysis by the method of imbedded Markov chains. Buzacott and Hanifin (1978) classified the machine failures as operation dependent failures and time dependent failures. Shanthikumar (1982) analyzed a M/G/1 queueing system with time and ope...
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ژورنال
عنوان ژورنال: Malaya Journal of Matematik
سال: 2021
ISSN: 2319-3786,2321-5666
DOI: 10.26637/mjm0901/0007