Hostname: page-component-586b7cd67f-dsjbd Total loading time: 0 Render date: 2024-11-30T23:19:07.998Z Has data issue: false hasContentIssue false

Semi-Markovian manpower models in continuous time

Published online by Cambridge University Press:  14 July 2016

Alexander Mehlmann*
Affiliation:
University of Technology, Vienna
*
Postal address: Institut für Untermehmensforschung, Technische Universität Wien, Argentinierstrasse 8, A-1040 Wien, Austria.

Abstract

This paper presents the general properties of the semi-Markovian manpower model in continuous time. The asymptotic relation for the population numbers in various grades is based on the forces of transition zij(u) from state i to state j at duration u.

Type
Short Communications
Copyright
Copyright © Applied Probability Trust 1979 

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.)

References

Bartholomew, D. J. (1973) Stochastic Models for Social Processes. Wiley, London.Google Scholar
Çinlar, E. (1975) Introduction to Stochastic Processes. Prentice-Hall, Englewood Cliffs, N.J.Google Scholar
Doetsch, G. (1971) Handbuch der Laplace-Transformation. Birkhäuser, Basel.Google Scholar
Feichtinger, G. and Mehlmann, A. (1976) The recruitment trajectory corresponding to particular stock sequences in Markovian person-flow models. Maths Opns Res. 1, 175184.Google Scholar
Mehlmann, A. (1977) Markovian manpower models in continuous time. J. Appl. Prob. 14, 249259.Google Scholar
Widder, D. V. (1946) The Laplace Transform. Princeton University Press, Princeton, N.J.Google Scholar