Large Deviations of Birth Death Markov Fluids
- 1 January 1993
- journal article
- research article
- Published by Cambridge University Press (CUP) in Probability in the Engineering and Informational Sciences
- Vol. 7 (2) , 237-255
- https://doi.org/10.1017/s0269964800002898
Abstract
The asymptotic probability of buffer overflow for a queueing system with a Markov fluid input and deterministic service rate is derived by way of large deviation theory. The equations characterizing the deviant behavior are presented and examples are given for which closed-form solutions may be obtained. An independence result extends the analysis to cases where the input is an aggregate of independent Markov fluids.Keywords
This publication has 2 references indexed in Scilit:
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- Stochastic Theory of a Data-Handling System with Multiple SourcesBell System Technical Journal, 1982