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Asymptotic behavior of Markov systems

Published online by Cambridge University Press:  14 July 2016

P.-C. G. Vassiliou
P.-C. G. Vassiliou*
Affiliation:
University of Ioannina
*
∗ Postal address: Department of Mathematics, University of Ioannina, Ioannina, Greece. Part of this work was done while the author was at Imperial College, London.
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Abstract

In this paper we study the asymptotic behavior of Markov systems and especially non-homogeneous Markov systems. It is found that the limiting structure and the relative limiting structure exist under certain conditions. The problem of weak ergodicity in the above non-homogeneous systems is studied. Necessary and sufficient conditions are provided for weak ergodicity. Finally, we discuss the application of the present results in manpower systems.

Keywords

MARKOV PROCESSESSTOCHASTIC POPULATION MODELSMANPOWER SYSTEMS
Type
Short Communications
Information
Journal of Applied Probability , Volume 19 , Issue 4 , December 1982 , pp. 851 - 857
Copyright
Copyright © Applied Probability Trust 1982 

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