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Rare event simulation for queues. (English) Zbl 1175.65013

Rubino, Gerardo (ed.) et al., Rare event simulation using Monte Carlo methods. Chichester: John Wiley & Sons (ISBN 978-0-470-77269-0/hbk). 87-124 (2009).
The authors describe the state-of-the-art techniques in rare event simulation for queuing systems, the rare events under consideration being overflow probabilities, probabilities of extremely long delays etc. A number of generic examples (and counterexamples) considered that are very useful in the queuing context.
For the entire collection see [Zbl 1159.65003].

MSC:

65C50 Other computational problems in probability (MSC2010)
60K25 Queueing theory (aspects of probability theory)
60G50 Sums of independent random variables; random walks