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The evolution of the attainable structures of a continuous time homogeneous Markov system with 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 Operations 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 continuous time homogeneous Markov system (HMS) with fixed size, we evaluate the volume of the sets of the attainable structures in Euclidean space in the course of time, and we find the value of the volume asymptotically. Then, using the concept of the volume of the attainable structures, we provide a method to evaluate the ‘age' of the system in continuous and discrete time. We also estimate the evolution of the distance of two (attainable) structures of the system as it changes following the transformations of the structures.

Keywords

STOCHASTIC POPULATION SYSTEMSNON-HOMOGENEOUS MARKOV SYSTEMSCONTINUOUS TIME

MSC classification

Primary: 90B70: Theory of organizations, manpower planning
Type
Research Papers
Information
Journal of Applied Probability , Volume 33 , Issue 1 , March 1996 , pp. 34 - 47
Copyright
Copyright © Applied Probability Trust 1996 

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