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A semi-Markov model for a multigrade population with Poisson recruitment

Published online by Cambridge University Press:  14 July 2016

Sally I. McClean
Sally I. McClean*
Affiliation:
New University of Ulster
*
∗Postal address: Mathematics Department, New University of Ulster, Coleraine, N. Ireland, BT52 1SA.
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Abstract

We consider a multigrade population with semi-Markov transitions between grades, Poisson arrivals to each grade, and departures from each grade. For this model the joint distribution of the numbers in each grade at any time is found, and the limiting distributions shown to be independently Poisson; this extends a previous result for a multigrade population with Markov transitions and Poisson recruitment.

This model is particularly applicable to manpower planning. The inclusion of semi-Markov transitions allows us to take into account existing knowledge of the distribution of length of service until an individual leaves his firm.

Keywords

MULTIGRADE SYSTEMSEMI-MARKOV PROCESSMANPOWER PLANNING MODEL
Type
Short Communications
Information
Journal of Applied Probability , Volume 17 , Issue 3 , September 1980 , pp. 846 - 852
Copyright
Copyright © Applied Probability Trust 1980 

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