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@inproceedings{Bradley:2003:10.1109/IPDPS.2003.1213505,
author = {Bradley, JT and Dingle, NJ and Harrison, PG and Knottenbelt, WJ},
doi = {10.1109/IPDPS.2003.1213505},
pages = {281--837},
publisher = {IEEE},
title = {Distributed computation of transient state distributions and passage time quantiles in large semi-Markov models},
url = {http://dx.doi.org/10.1109/IPDPS.2003.1213505},
year = {2003}
}

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TY  - CPAPER
AB  - Semi-Markov processes (SMPs) are expressive tools for modelling parallel and distributed systems; they are a generalisation of Markov processes that allow for arbitrarily distributed sojourn times. This paper presents an iterative technique for transient and passage time analysis of large structurally unrestricted semi-Markov processes. Our method is based on the calculation and subsequent numerical inversion of Laplace transforms and is amenable to a highly scalable distributed implementation. Results for a distributed voting system model with up to 1.1 million states are presented and validated against simulation. (C) 2006 Elsevier B.V. All rights reserved.
AU  - Bradley,JT
AU  - Dingle,NJ
AU  - Harrison,PG
AU  - Knottenbelt,WJ
DO  - 10.1109/IPDPS.2003.1213505
EP  - 837
PB  - IEEE
PY  - 2003///
SN  - 1530-2075
SP  - 281
TI  - Distributed computation of transient state distributions and passage time quantiles in large semi-Markov models
UR  - http://dx.doi.org/10.1109/IPDPS.2003.1213505
UR  - http://pubs.doc.ic.ac.uk/passage-pmeo2003/
UR  - http://hdl.handle.net/10044/1/796
ER  -

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