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The control of a grade structure in a stochastic environment using promotion control

Published online by Cambridge University Press:  01 July 2016

D. J. Bartholomew
D. J. Bartholomew*
Affiliation:
London School of Economics and Political Science
*
∗Postal address: The London School of Economics and Political Science, Houghton St, London WC2A 2AE, U.K.
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Abstract

In an earlier paper (Bartholomew (1977)) the problem of maintaining a grade (or age) structure by controlling the recruitment flows was discussed. Here we carry out a parallel analysis for the case where control is by promotion. We show how to calculate the probability that a structure can be maintained and investigate the performance of several strategies for keeping a structure as near as possible to that desired. As before, the results demonstrate the limitations of a deterministic analysis of the problem.

Keywords

ATTAINABILITYCONTROLGRADE STRUCTUREMAINTAINABILITYMANPOWER PLANNINGMARKOV CHAINSMULTIVARIATE NORMAL INTEGRALPROMOTION POLICIESSTOCHASTIC MODELS
Type
Research Article
Information
Advances in Applied Probability , Volume 11 , Issue 3 , September 1979 , pp. 603 - 615
Copyright
Copyright © Applied Probability Trust 1979 

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References

Bartholomew, D. J. (1973) Stochastic Models for Social Processes, 2nd edn. Wiley, Chichester.Google Scholar
Bartholomew, D. J. (1977) Maintaining a grade or age structure in a stochastic environment. Adv. Appl. Prob. 9, 1–17.Google Scholar
Milton, R. C. (1972) Computer evaluation of the multivariate normal integral. Technometrics 14, 881–889.Google Scholar