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The probability of attaining a structure in a partially stochastic model

Published online by Cambridge University Press:  01 July 2016

M. A. Guerry*
Affiliation:
Vrije Universiteit Brussel
*
* Postal address: Center for Manpower Planning and Studies, Vrije Universiteit Brussel, Pleinlaan 2, 1050 Brussels, Belgium.

Abstract

A manpower system of constant size, controlled by recruitment, is described by a partially stochastic model in which there are fixed promotion rates, no demotions and stochastic wastage. The geometric-probabilistic relationship is examined for the attainability after one step and after two steps.

Type
Research Article
Copyright
Copyright © Applied Probability Trust 1993 

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References

[1] Bartholomew, D. J. (1977) Maintaining a grade or age structure in a stochastic environment. Adv. Appl. Prob. 9, 117.Google Scholar
[2] Bartholomew, D. J. (1978) Stochastic Models for Social Processes, 2nd edn. Wiley, London.Google Scholar
[3] Davies, G. S. (1982) Control of grade sizes in a partially stochastic Markov manpower model. J. Appl. Prob. 19, 439443.Google Scholar
[4] Davies, G. S. (1983) A note on the geometric/probabilistic relationship in a Markov manpower model. J. Appl. Prob. 20, 423428.Google Scholar
[5] Guerry, M. A. (1993) Maintainability and attainability in manpower systems. Center for Manpower Planning, VUB.Google Scholar
[6] Johnson, N. L. and Kotz, S. (1970) Distributions in Statistics: Continuous Univariate Distributions-2. Houghton Mifflin, Boston.Google Scholar
[7] Vajda, S. (1978) Mathematics of Manpower Planning. Wiley, London.Google Scholar