The randomized vacation policy for a batch arrival queue
نویسندگان
چکیده
منابع مشابه
Batch arrival queue with N-policy and single vacation
We consider an MXI ell queueing system with N-policy and single vacation. As soon as the system becomes empty, the server leaves the system for a vacation of random length 11: When he returns from the vacation, if the system size is greater than or equal to a pretermined value N(threshold), he begins to serve the customers. If not, the server waits in the system until the system size reaches or...
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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....
متن کاملSteady-State Queue Length Analysis of a Batch Arrival Queue under N-Policy with Single Vacation and Setup Times
This paper investigates the steady state property of queue length for a batch arrival queue under N-policy with single vacation and setup times. When the system becomes empty, the server is turned off at once and takes a single vacation of random length V . When he returns, if the queue length reaches or exceeds threshold ( 1) N N , the server is immediately turned on but is temporarily unava...
متن کاملOn departure process in the batch arrival queue with single vacation and setup time Wojciech
A single-server queueing system of MX/G/1 type with unlimited buffer size is considered. Whenever the system becomes empty, the server takes a single compulsory vacation that is independent of the arrival process. The service of the first customer after the vacation is preceded by a random setup time. We distinguish two cases of the evolution of the system: when the setup time begins after the ...
متن کاملOn departure process in the batch arrival queue with single vacation and setup time
A single-server queueing system of MX/G/1 type with unlimited buffer size is considered. Whenever the system becomes empty, the server takes a single compulsory vacation that is independent of the arrival process. The service of the first customer after the vacation is preceded by a random setup time. We distinguish two cases of the evolution of the system: when the setup time begins after the ...
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ژورنال
عنوان ژورنال: Applied Mathematical Modelling
سال: 2010
ISSN: 0307-904X
DOI: 10.1016/j.apm.2009.09.007