نتایج جستجو برای: markovian service process

تعداد نتایج: 1598585  

2013
Joke G. Blom Koen De Turck Michel Mandjes

This paper studies an infinite-server queue in a Markov environment, that is, an infinite-server queue with arrival rates and service times depending on the state of a Markovian background process. Scaling the arrival rates λi by a factor N and the rate qij of the background process by a factor N, with α ∈ R, we establish a central limit theorem as N tends to ∞. We find different scaling regime...

Journal: :Global Journal of Mathematical Sciences 2008

2008
LINDA GREEN

We examine a queueing system with multiple primary servers and a fewer number of auxiliary servers. There are two classes of customers-those who require service from a primary server working alone and those who require service from a primary server who is assisted by an auxiliary server. Though the apparent Markovian state space is fivedimensional, we show that an aggregation results in an exac...

Journal: :Mathematical and Computer Modelling 2009

The stochastic reaction diffusion systems may suffer sudden shocks‎, ‎in order to explain this phenomena‎, ‎we use Markovian jumps to model stochastic reaction diffusion systems‎. ‎In this paper‎, ‎we are interested in almost sure exponential stability of stochastic reaction diffusion systems with Markovian jumps‎. ‎Under some reasonable conditions‎, ‎we show that the trivial solution of stocha...

Journal: :Theoretical Computer Science 2003

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