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A note on the geometric/probabilistic relationship in a Markov manpower model

Published online by Cambridge University Press:  14 July 2016

G. S. Davies*
Affiliation:
University of Kent
*
Postal address: Mathematical Institute, Cornwallis Building, The University, Canterbury, Kent CT2 7NF, U.K.

Abstract

The probability of attaining a goal structure in a partially stochastic manpower model is discussed in relation to the position of the structure described in Euclidean space. It is found that, within the regions of structures attainable with non-zero probability, the probabilities decrease on lines emanating from the structure attainable with probability 1.

Type
Short Communications
Copyright
Copyright © Applied Probability Trust 1983 

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References

Bartholomew, D. J. (1977) Maintaining a grade or age distribution in a stochastic environment. Adv. Appl. Prob. 9, 117.Google Scholar
Davies, G. S. (1982) Control of grade sizes in a partially stochastic Markov manpower model. J. Appl. Prob. 19, 439443.Google Scholar