Batch arrival queues with vacations and server setup
نویسندگان
چکیده
منابع مشابه
Burst arrival queues with server vacations and random timers
We derive performance measures for burst arrival (e.g. messages of variable length packets) M / G / 1 queues with server vacations, controlled by the, so called, Randomly Timed Gated (RTG) protocol, operating as follows : Whenever the server returns from a ( general-type ) vacation and initiates a busy period, a Timer with random duration T is activated. If the server empties the queue before t...
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In this paper, we consider GI/M/c queues with two classes of vacation mechanisms: Station vacation and server vacation. In the first one, all the servers take vacation simultaneously whenever the system becomes empty, and they also return to the system at the same time, i.e., station vacation is group vacation for all servers. This phenomenon occurs in practice, for example, when the system con...
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A batch arrival single-server queueing system of a general type is considered. At the end of each busy period the server begins a multiple vacation period when the service process is stopped. A new approach to the study of departure process in such a system is proposed. Using the formula of total probability and renewal theory we direct the analysis to that in the system without vacations. An e...
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The M/G/1 classic queueing system were extended by many authors in last two decades. The systems with server’s vacation are important models that extend the M/G/1 queueing system. Also another conditions such as admissibility restricted may occure in systems. From this motivation, in this system I consider a single server queue with batch arrival Poisson input. There is a restricted admissibili...
متن کاملThe Optimal Control in Batch Arrival Queue with Server Vacations, Startup and Breakdowns
This paper studies the N policy M/G/1 queue with server vacations; startup and breakdowns, where arrivals form a compound Poisson process and service times are generally distributed. The server is turned off and takes a vacation whenever the system is empty. If the number of customers waiting in the system at the instant of a vacation completion is less than N, the server will take another vaca...
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ژورنال
عنوان ژورنال: Applied Mathematical Modelling
سال: 2005
ISSN: 0307-904X
DOI: 10.1016/j.apm.2005.03.002