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The stress tensor and the energy 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. Email address: [email protected]
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Abstract

The set of the attainable structures of a continuous time homogeneous Markov system (HMS) with fixed size, is considered as a continuum and the evolution of the HMS in the Euclidean space corresponds to its motion. Taking account of the velocity field of the HMS, a suitable model of continuum–defined by its stress tensor–is proposed in order to explain the motion of the system. The adoption of this model (equivalently of its stress tensor) enables us to establish the concept of the energy of a structure of the HMS.

Keywords

Stochastic population systemscontinuous time homogeneous Markov systemcontinuum mechanics

MSC classification

Primary: 90B70: Theory of organizations, manpower planning
Type
Research Papers
Information
Journal of Applied Probability , Volume 36 , Issue 1 , March 1999 , pp. 21 - 29
Copyright
Copyright © Applied Probability Trust 1999 

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