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Non-homogeneous semi-Markov systems and maintainability of the state sizes

Part of: Operations research and management science Markov processes

Published online by Cambridge University Press:  14 July 2016

P.-C. G. Vassiliou  and
A. A. Papadopoulou
P.-C. G. Vassiliou*
Affiliation:
University of Thessaloniki
A. A. Papadopoulou*
Affiliation:
University of Thessaloniki
*
∗Postal address for both authors: Statistics and Operations Research Section, Mathematics Department, University of Thessaloniki, 540 06 Thessaloniki, Greece.
∗Postal address for both authors: Statistics and Operations Research Section, Mathematics Department, University of Thessaloniki, 540 06 Thessaloniki, Greece.
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Abstract

In this paper we introduce and define for the first time the concept of a non-homogeneous semi-Markov system (NHSMS). The problem of finding the expected population stucture is studied and a method is provided in order to find it in closed analytic form with the basic parameters of the system. Moreover, the problem of the expected duration structure in the state is studied. It is also proved that all maintainable expected duration structures by recruitment control belong to a convex set the vertices of which are specified. Finally an illustration is provided of the present results in a manpower system.

Keywords

STOCHASTIC POPULATION MODELSSEMI-MARKOV PROCESSMANPOWER SYSTEMSNON-HOMOGENEOUS MARKOV CHAINS

MSC classification

Primary: 90B70: Theory of organizations, manpower planning
Secondary: 60J20: Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.)
Type
Research Papers
Information
Journal of Applied Probability , Volume 29 , Issue 3 , September 1992 , pp. 519 - 534
Copyright
Copyright © Applied Probability Trust 1992 

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