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Probability of maintaining or attaining a structure in one step

Published online by Cambridge University Press:  14 July 2016

G. Abdallaoui
G. Abdallaoui*
Affiliation:
I.N.S.E.A
*
∗Postal address: Institut National de Statistique et d'Economie Appliquée BP 6217, Rabat, Morocco.
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Abstract

Our concern is with a particular problem which arises in connection with a discrete-time Markov chain model for a graded manpower system. In this model, the members of an organisation are classified into distinct classes. As time passes, they move from one class to another, or to the outside world, in a random way governed by fixed transition probabilities. In this paper, the emphasis is placed on evaluating exact values of the probabilities of attaining and maintaining a structure.

Keywords

ATTAINABILITYCONTROLMAINTAINABILITYMANPOWER SYSTEMMULTINOMIALRECRUITMENTTRINOMIAL
Type
Short Communications
Information
Journal of Applied Probability , Volume 24 , Issue 4 , December 1987 , pp. 1006 - 1011
Copyright
Copyright © Applied Probability Trust 1987 

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References

Abdallaoui, G. (1984) Stochastic Control in Manpower Planning. Ph.D. Thesis, University of London.Google Scholar
Bartholomew, D. J. (1977) Maintaining a grade or age structure in a stochastic environment. Adv. Appl. Prob. 9, 1–17.Google Scholar
Bartholomew, D. J. (1982) Stochastic Models for Social Processes , 3rd edn. Wiley, Chichester.Google Scholar
Davies, G. S. (1982) Control of grade sizes in partially stochastic Markov manpower model. J. Appl. Prob. 19, 439–443.Google Scholar
Finucan, H. M. (1964) The mode of a multinomial distribution. Biometrika 51, 513–517.Google Scholar