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The evolution of the attainable structures of a homogeneous Markov system by fixed size

Part of: Operations research and management science

Published online by Cambridge University Press:  14 July 2016

George M. Tsaklidis
George M. Tsaklidis*
Affiliation:
University of Thessaloniki
*
∗ Postal address: Statistics and Operatiọns Research Section, Mathematics Department, University of Thessaloniki, Thessaloniki 54006, Greece.
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Abstract

In order to describe the evolution of the attainable structures of a homogeneous Markov system (HMS) with fixed size, we evaluate the volume of the sets of the attainable structures in Euclidean space as they are changing in time and we find the value of the volume asymptotically. We also estimate the evolution of the distance of two (attainable) structures of the system as it changes following the transformations of the structures; extensions are obtained concerning results from the Perron–Frobenius theory referring to Markov systems.

Keywords

MANPOWER SYSTEMSPERRON–FROBENIUS THEOREM

MSC classification

Primary: 90B70: Theory of organizations, manpower planning
Type
Research Papers
Information
Journal of Applied Probability , Volume 31 , Issue 2 , June 1994 , pp. 348 - 361
Copyright
Copyright © Applied Probability Trust 1994 

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