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A note on a continuous-time 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 of Kent, Canterbury, Kent, CT2 7NF, UK.
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Abstract

We examine a Markov manpower system in continuous time where demotion rates are 0 and promotion rates are time-dependent. The transient and limiting behaviours of the model are discussed, and illustrated with examples.

Keywords

MANPOWER PLANNINGMARKOV PROCESS
Type
Short Communications
Information
Journal of Applied Probability , Volume 22 , Issue 4 , December 1985 , pp. 932 - 938
Copyright
Copyright © Applied Probability Trust 1985 

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References

Bartholomew, D. J. (1982) Stochastic Models for Social Processes. Wiley, Chichester.Google Scholar
Mehlmann, A. (1977) Markovian manpower models in continuous time. J. Appl. Prob. 14, 249–259.CrossRefGoogle Scholar
Miller, R. K. and Michel, A. N. (1982) Ordinary Differential Equations. Academic Press, London.Google Scholar
Vassiliou, P.-C. G. (1984) Cyclic behaviour and asymptotic stability of non-homogeneous Markov systems. J. Appl. Prob. 21, 315–325.Google Scholar