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Continuous-time stochastic models of a multigrade population

Published online by Cambridge University Press:  14 July 2016

Sally I. McClean
Sally I. McClean*
Affiliation:
New University of Ulster
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Abstract

The continuous-time Markov model of a multigrade organization is extended in several ways. Firstly the internal transitions and the leaving process are generalized to a semi-Markov formulation which allows for the inclusion of well-authenticated leaving distributions such as the mixed exponential distribution. The previous assumption of Poisson recruitment is then generalized to allow for a time-dependent Poisson arrival distribution in which the instantaneous probability of an arrival is a mixture of exponential terms. Finally we extend the capital-related manpower model to describe a multigrade organization.

Keywords

MULTIGRADE POPULATIONMANPOWER PLANNING MODELCONTINUOUS-TIME STOCHASTIC MODEL
Type
Research Papers
Information
Journal of Applied Probability , Volume 15 , Issue 1 , March 1978 , pp. 26 - 37
Copyright
Copyright © Applied Probability Trust 1978 

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