SERVER WAITING TIMES IN INFINITE SUPPLY POLLING SYSTEMS WITH PREPARATION TIMES
نویسندگان
چکیده
منابع مشابه
Server waiting times in infinite supply polling systems with preparation times
We consider a system consisting of a single server serving a fixed number of stations. At each station there is an infinite queue of customers that have to undergo a preparation phase before being served. This model is connected to layered queueing networks, to an extension of polling systems, and surprisingly to random graphs. We are interested in the waiting time of the server. For the case w...
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We consider a system consisting of a single server serving a fixed number of stations. At each station there is an infinite queue of customers that have to undergo a preparation phase before being served. This model is connected to layered queueing networks, to an extension of polling systems, and surprisingly to random graphs. We are interested in the waiting time of the server. For the case w...
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We consider a system consisting of a server serving in sequence a fixed number of stations. At each station there is an infinite queue of customers that have to undergo a preparation phase before being served. This model is connected to layered queuing networks, to an extension of polling systems, and surprisingly to random graphs. We are interested in the waiting time of the server. The waitin...
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Abstract The stationary distribution of the number of customers in the infinite-server system with nonPoissonian arrivals is dependent on the form of the service time distribution. In particular, when the interarrival time is a hyperexponential random variable that is more variable than an exponential random variable, the stationary state distribution becomes stochastically less variable, as th...
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ژورنال
عنوان ژورنال: Probability in the Engineering and Informational Sciences
سال: 2015
ISSN: 0269-9648,1469-8951
DOI: 10.1017/s0269964815000339