Hostname: page-component-cb9f654ff-k7rjm Total loading time: 0 Render date: 2025-08-22T00:19:05.409Z Has data issue: false hasContentIssue false
  • English
  • Français

Properties of calculated predictions of grade sizes and the associated integer valued vectors

Part of: Markov processes Operations research and management science

Published online by Cambridge University Press:  14 July 2016

M. A. Guerry
M. A. Guerry*
Affiliation:
Vrije Universiteit Brussel
*
∗ Postal address: Center for Manpower Planning and Studies, Vrije Universiteit Brussel, Pleinlaan 2, 1050 Brussels, Belgium.
Get access Rights & Permissions [Opens in a new window]

Abstract

In a system modelled by a time-discrete deterministic model, predictions of the distribution of the members over the different classes do not result automatically in an integer valued vector. In this paper, for a constant size system, we discuss how to associate with the calculated vector an integer valued vector. Furthermore we examine whether the evolution of the calculated vectors on the one hand, and the evolution of the associated integer valued vectors on the other hand, have the same properties.

Keywords

MANPOWER PLANNINGASYMPTOTICALLY ATTAINABLE STRUCTURESGRADE SIZES

MSC classification

Primary: 60J20: Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.)
Secondary: 90B70: Theory of organizations, manpower planning

Information

Type
Research Papers
Information
Journal of Applied Probability , Volume 34 , Issue 1 , March 1997 , pp. 94 - 100
Copyright
Copyright © Applied Probability Trust 1997 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable

References

[1] Bartholomew, D. J. (1982) Stochastic Models for Social Processes. 3rd edn. Wiley, Chichester.Google Scholar
[2] Bartholomew, D. J., Forbes, A. F. and Mcclean, S. I. (1991) Statistical Techniques for Manpower Planning. 2nd edn. Wiley, Chichester.Google Scholar
[3] Davies, G. S. (1973) Structural control in a graded manpower system. Management Sci. 20, 76–84.Google Scholar
[4] Georgiou, A. C. and Vassiliou, P.-C. G. (1992) Periodicity of asymptotically attainable structures in nonhomogeneous Markov systems. Linear Algebra Appl. 176, 137–174.Google Scholar
[5] Guerry, M. A. (1991) Maintainability and attainability in manpower systems. PhD thesis. Center for Manpower Planning, Vrije Universiteit Brussel.Google Scholar
[6] Vassiliou, P.-C. G. (1981) On the limiting behaviour of a non-homogeneous Markov model in manpower systems. Biometrica 68, 557–561.Google Scholar
[7] Vassiliou, P.-C. G. (1981) Stability in a nonhomogeneous Markov chain model in manpower systems. J. Appl. Prob. 18, 924–930.Google Scholar
[8] Vassiliou, P.-C. G. (1982) Asymptotic behaviour of Markov systems. J. Appl. Prob. 19, 815–857.Google Scholar
[9] Vassiliou, P.-C. G. and Georgiou, A. C. (1990) Asymptotically attainable structures in nonhomogeneous Markov systems. Operat. Res. 38, 537–545.Google Scholar