Title
Continuous approximation of collective system behaviour: A tutorial
Abstract
In this paper we present an overview of the field of deterministic approximation of Markov processes, both in discrete and continuous times. We will discuss mean field approximation of discrete time Markov chains and fluid approximation of continuous time Markov chains, considering the cases in which the deterministic limit process lives in continuous time or discrete time. We also consider some more advanced results, especially those relating to the limit stationary behaviour. We assume a knowledge of modelling with Markov chains, but not of more advanced topics in stochastic processes.
Year
DOI
Venue
2013
10.1016/j.peva.2013.01.001
Perform. Eval.
Keywords
Field
DocType
discrete time markov chain,mean field approximation,continuous approximation,collective system behaviour,fluid approximation,discrete time,markov chain,deterministic approximation,advanced result,continuous time markov chain,continuous time,advanced topic,markov chains
Statistical physics,Mathematical optimization,Markov process,Markov property,Computer science,Markov chain,Balance equation,Discrete phase-type distribution,Time reversibility,Examples of Markov chains,Distributed computing,Markov renewal process
Journal
Volume
Issue
ISSN
70
5
0166-5316
Citations 
PageRank 
References 
44
1.44
41
Authors
4
Name
Order
Citations
PageRank
Luca Bortolussi166358.88
Jane Hillston21657125.09
Diego Latella31168113.42
Mieke Massink4109587.58