On a first passage problem in general queueing systems with multiple vacations
نویسندگان
چکیده
منابع مشابه
Synchronized reneging in queueing systems with vacations
In this paper we present a detailed analysis of queueing models with vacations and impatient customers, where the source of impatience is the absence of the server. Instead of the standard assumption that customers perform independent abandonments, we consider situations where customers abandon the system simultaneously. This is, for example, the case in remote systems where customers may decid...
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This paper is devoted to the study of an M/G/1 queue with a particular vacation discipline. The server is due to take a vacation as soon as it has served exactly N customers since the end of the previous vacation. N may be either a constant or a random variable. If the system becomes empty before the server has served N customers, then it stays idle until the next customer arrival. Such a vacat...
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In this contribution we investigate discrete-time queueing systems with vacations. A framework is constructed that allows for studying numerous different vacation systems, including a.o. classical vacation systems like the exhaustive and limited vacation systems as well as queueing systems with service interruptions. Using a probability generating functions approach, we obtain steady-state perf...
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vi Preface A variety of queueing models have been proposed and analyzed to evaluate the pelformance of systems such as computer, communication and manufacturing systems. Among them, queueing systems with vacations have been extensively studied in the last two decades since those have a lot of applications in those real systems. For example, in most computer systems, a processor is shared among ...
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ژورنال
عنوان ژورنال: Journal of Applied Mathematics and Stochastic Analysis
سال: 1992
ISSN: 1048-9533,1687-2177
DOI: 10.1155/s1048953392000157