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Variances and covariances of the grade sizes in manpower systems

Published online by Cambridge University Press:  14 July 2016

P.-C. G. Vassiliou  and
I. Gerontidis
P.-C. G. Vassiliou*
Affiliation:
University of Thessaloniki
I. Gerontidis*
Affiliation:
University of Thessaloniki
*
∗Postal address: Statistics and Operations Research Section, Mathematics Department, University of Thessaloniki, Thessaloniki, Greece.
∗Postal address: Statistics and Operations Research Section, Mathematics Department, University of Thessaloniki, Thessaloniki, Greece.
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Abstract

The asymptotic behaviour of the variances and covariances of the class sizes in closed and open manpower systems is considered. Firstly, the homogeneous case is studied and a theorem is stated which provides the answer to the problem in the most general case for the homogeneous Markov-chain models in manpower systems (open systems) and social mobility models (closed systems). Secondly, the non-homogeneous problem is studied and a theorem is given where under certain conditions it is proved that the vector sequences of means, variances and covariances converge. Finally, we relate our theoretical results to examples from the literature on manpower planning.

Keywords

STOCHASTIC POPULATION MODELSASYMPTOTIC BEHAVIOUR OF NON-HOMOGENEOUS MANPOWER SYSTEMS
Type
Research Papers
Information
Journal of Applied Probability , Volume 22 , Issue 3 , September 1985 , pp. 583 - 597
Copyright
Copyright © Applied Probability Trust 1985 

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