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Maintainable regions in a Markov manpower model

Published online by Cambridge University Press:  14 July 2016

G. S. Davies
G. S. Davies*
Affiliation:
University of Kent
*
∗Postal address: Mathematical Institute, The University, Canterbury, Kent, CT2 7NF, U.K.
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Abstract

We examine the geometry of regions of maintainable structures arising in a Markov manpower model. The regions are described in terms of convex hulls, and it is shown that for systems divided into two or three grades these regions form an increasing sequence. It is also shown that the monotonie property fails quite drastically for a four-graded system.

An open problem is discussed for a related model.

Keywords

MANPOWER PLANNINGMARKOV CHAIN
Type
Short Communications
Information
Journal of Applied Probability , Volume 18 , Issue 3 , September 1981 , pp. 738 - 742
Copyright
Copyright © Applied Probability Trust 

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References

[1] Bartholomew, D. J. (1973) Stochastic Models for Social Processes, 2nd edn. Wiley, London.Google Scholar
[2] Vajda, S. (1978) Mathematics of Manpower Planning. Wiley, London.Google Scholar