May 2014
Intermediate to advanced
258 pages
6h 11m
English
Content preview from Markov Chains: Analytic and Monte Carlo Computations
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3.3.2.3 Queuing application
A system (for instance a processor) processes jobs (such as computations) in synchronized manner. A waiting room (buffer) allows to store jobs before they are processed. The instants of synchronization are numbered 
and 
denotes the number of jobs in the system just after time 
.
Between time 
and time 
, a random number 
of new jobs arrive, and up to a random number 
of the 
jobs already there can be processed, so that
In a simple special case, there is an integer 
s.t. ...
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