The discrete time Geom/Geom/1 queue with multiple working vacations
نویسندگان
چکیده
منابع مشابه
The Discrete-Time Bulk-Service Geo/Geo/1 Queue with Multiple Working Vacations
This paper deals with a discrete-time bulk-service Geo/Geo/1 queueing system with infinite buffer space and multiple working vacations. Considering an early arrival system, as soon as the server empties the system in a regular busy period, he leaves the system and takes a working vacation for a random duration at time n. The service times both in a working vacation and in a busy period and the ...
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This paper analyzes a discrete-time $Geo/Geo/c$ queueing system with multiple working vacations and reneging in which customers arrive according to a geometric process. As soon as the system gets empty, the servers go to a working vacations all together. The service times during regular busy period, working vacation period and vacation times are assumed to be geometrically distributed. Customer...
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In this paper, we consider a GI/Geo/1 queue with working vacations and vacation interruption. The server takes the original work at the lower rate rather than completely stopping during the vacation period. Meanwhile, we introduce vacation interruption policy: the server can come back to the normal working level once there are customers after a service completion during the vacation period, thu...
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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 ...
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This paper analyzes a discrete-time batch arrival queue with working vacations. In a GeoX/G/1 system, the server works at a lower speed during the vacation period which becomes a lower speed operation period. This model is more appropriate for the communication systemswith the transmit units arrived in batches.We formulate the system as an embeddedMarkov chain at the departure epoch and by theM...
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ژورنال
عنوان ژورنال: Applied Mathematical Modelling
سال: 2008
ISSN: 0307-904X
DOI: 10.1016/j.apm.2007.10.005