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Stability in a non-homogeneous Markov chain model in manpower 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.
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Abstract

Necessary and sufficient conditions for stability, imposed firstly on the initial structure and the sequence of recruitment, and secondly on the initial structure and the sequence of expansion are provided in forms of two theorems. Also the limiting behaviour of the expected relative grade sizes is studied if we drop the conditions for stability imposed on the initial structure and keep the same sequence of expansion. Finally we examine the limiting behaviour of the expected grade sizes if we drop the assumption of a continuously expanding system.

Keywords

MANPOWER PLANNINGSTOCHASTIC POPULATION MODELSASYMPTOTIC BEHAVIOUR
Type
Short Communications
Information
Journal of Applied Probability , Volume 18 , Issue 4 , December 1981 , pp. 924 - 930
Copyright
Copyright © Applied Probability Trust 1981 

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Footnotes

Part of this work was done while the author was at Imperial College, London.

References

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