Batch arrival queues under vacation policies with server breakdowns and startup/closedown times
نویسندگان
چکیده
منابع مشابه
Infinite-server Queues with Batch Arrivals and Dependent Service Times
Motivated by large-scale service systems, we consider an infinite-server queue with batch arrivals, where the service times are dependent within each batch. We allow the arrival rate of batches to be time-varying as well as constant. As regularity conditions, we require that the batch sizes be i.i.d. and independent of the arrival process of batches, and we require that the service times within...
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In this paper we consider a like-queue production system in which server startup and breakdowns are possible. The server is turned on (i.e. begins startup) when N units are accumulated in the system and off when the system is empty. We model this system by an M/M/1 queue with server breakdowns and startup time under the N policy. The arrival rate varies according to the server’s status: off, st...
متن کاملAnalysis of a Batch Arrival Single Service Queueing System with Unreliable Server and Single Vacation
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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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 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: 2007
ISSN: 0307-904X
DOI: 10.1016/j.apm.2006.02.010