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Maintaining a grade or age structure in a stochastic environment

Published online by Cambridge University Press:  01 July 2016

D. J. Bartholomew*
Affiliation:
London School of Economics and Political Science

Abstract

Grade and age structures in manpower systems are often far from ideal. This fact raises the question of how the flows of people — and particularly the recruitment flow — should be controlled in order to attain and maintain a more desirable structure. The problem has received considerable attention from a deterministic point of view. This paper adopts a stochastic approach to the study of maintainability and shows, among other things, that the problem is more subtle than the deterministic analysis suggests.

Type
Research Article
Copyright
Copyright © Applied Probability Trust 1977 

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References

Bartholomew, D. J. (1973) Stochastic Models for Social Processes, 2nd edn. Wiley, Chichester.Google Scholar
Bartholomew, D. J. (1975) A stochastic control problem in the social sciences. Invited paper at the meeting of the International Statistical Institute, Warsaw 1975 (to appear in the Bulletin with discussion).Google Scholar
Davies, G. S. (1973) Structural control in a graded manpower system. Man. Sci. 20, 7684.Google Scholar
Davies, G. S. (1975) Maintainability of structures in Markov chain models under recruitment control. J. Appl. Prob. 12, 376382.Google Scholar
Grinold, R. C. and Stanford, R. E. (1974) Optimal control of a graded manpower system. Man. Sci. 20, 12011216.Google Scholar
Milton, R. C. (1972) Computer evaluation of the multivariate normal integral. Technometrics 14, 881889.Google Scholar