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Maintainability of manpower structures — counterexamples, results and conjectures

Published online by Cambridge University Press:  14 July 2016

John Haigh
John Haigh*
Affiliation:
University of Sussex
*
∗ Postal address: School of Mathematical and Physical Sciences, Mathematics Division, The University of Sussex, Falmer, Brighton BN1 9QH, U.K.
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Abstract

The question as to what grade structures are maintainable in Markov manpower models, with or without the constraint that the total size be kept constant, is examined. Known results are collected together, examples and further results are given, and an old conjecture is generalised.

Keywords

MANPOWER PLANNINGMARKOV CHAINMAINTAINABLE STRUCTURESRE-ATTAINABLE STRUCTURES
Type
Short Communications
Information
Journal of Applied Probability , Volume 20 , Issue 3 , September 1983 , pp. 700 - 705
Copyright
Copyright © Applied Probability Trust 1983 

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References

Davies, G. S. (1975) Maintainability of structures in Markov chain models under recruitment control. J. Appl. Prob. 12, 376–382.Google Scholar
Davies, G. S. (1981) Maintainable regions in a Markov manpower model. J. Appl. Prob. 18, 738–742.Google Scholar
Vajda, S. (1978) Mathematics of Manpower Planning. Wiley, London.Google Scholar