Hostname: page-component-78c5997874-94fs2 Total loading time: 0 Render date: 2024-11-10T15:10:57.014Z Has data issue: false hasContentIssue false

A note on a continuous-time Markov manpower model

Published online by Cambridge University Press:  14 July 2016

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

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.

Type
Short Communications
Copyright
Copyright © Applied Probability Trust 1985 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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, 249259.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, 315325.Google Scholar