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Cyclic behaviour and asymptotic stability of non-homogeneous Markov systems

Published online by Cambridge University Press:  14 July 2016

P.-C. G. Vassiliou
P.-C. G. Vassiliou*
Affiliation:
University of Thessaloniki
*
∗ Postal address: Statistics and Operations Research Section, Department of Mathematics, University of Thessaloniki, Thessaloniki, Greece.
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Abstract

In this paper we study the cyclic behaviour of non-homogeneous Markov systems, i.e. the behaviour of the system under the assumption of periodic sequences of transition matrices, input probabilities, output probabilities and total numbers in the system. We provide a general theorem for the limiting structure of such a system under the cyclic behaviour. We also study the asymptotic stability of non-homogeneous Markov systems and theorems are given which characterize asymptotic stability. An application of the above results is given for a British firm, BS.

Keywords

STOCHASTIC POPULATION MODELSMANPOWER SYSTEMS
Type
Research Papers
Information
Journal of Applied Probability , Volume 21 , Issue 2 , June 1984 , pp. 315 - 325
Copyright
Copyright © Applied Probability Trust 1984 

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Footnotes

Part of this research was carried out while the author was at Imperial College, London.

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