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On the limiting behaviour of a non-homogeneous Markovian manpower model with independent Poisson input

Published online by Cambridge University Press:  14 July 2016

P.-C. G. Vassiliou
P.-C. G. Vassiliou*
Affiliation:
University of Ioannina
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Abstract

We study the limiting behaviour of a manpower system where the non-homogeneous Markov chain model proposed by Young and Vassiliou (1974) is applicable. This is done in the cases where the input is a time-homogeneous and time-inhomogeneous Poisson random variable. It is also found that the number in the various grades are asymptotically mutually independent Poisson variates.

Keywords

MANPOWER PLANNINGSTOCHASTIC POPULATION MODELSASYMPTOTIC BEHAVIOUR OF MARKOV SYSTEMS
Type
Short Communications
Information
Journal of Applied Probability , Volume 19 , Issue 2 , June 1982 , pp. 433 - 438
Copyright
Copyright © Applied Probability Trust 1982 

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Footnotes

This work was done while the author was at the Statistics Section, Imperial College, University of London.

References

Bartholomew, D. J. (1973) Stochastic Models for Social Processes. Wiley, New York.Google Scholar
Gani, J. (1963) Formulae for projecting enrollments and degrees awarded in universities. J. R. Statist. Soc. A 126, 400–409.Google Scholar
Mehlmann, A. (1977) A note on the limiting behaviour of discrete time markovian manpower models with inhomogeneous independent Poisson input. J. Appl. Prob. 14, 611–613.Google Scholar
Pollard, J. H. (1967) Hierarchical population models with Poisson recruitment. J. Appl. Prob. 4, 209–213.Google Scholar
Stewman, S. (1976) Markov models of occupational mobility: Theoretical development and empirical support. Part 2: Continuously operative job systems. J. Math. Sociol. 4, 247–278.Google Scholar
Young, A. and Almond, G. (1961) Predicting distributions of staff. Computer J. 3, 246–250.Google Scholar
Young, A. and Vassiliou, P.-C. G. (1974) A non-linear model on the promotion of staff. J. R. Statist. Soc. A 137, 584–595.Google Scholar