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Continuous Time Non Homogeneous Semi-Markov Systems

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Semi-Markov Models and Applications

Abstract

In the present we introduce and define the non-homogeneous semi-Markov system in continuous time. We study the problem of finding the expected population structure in closed analytic form, in relation with the basic sequences of the system. Moreover, the problem of the asymptotic behavior of the system is studied under certain conditions. We first study the limiting behavior of the imbedded non-homogeneous semi-Markov chain and then we provide the asymptotic population structure in closed analytic form.

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Author information

Authors and Affiliations

  1. Aristotle University of Thessaloniki, Greece

    Aleka A. Papadopoulou & Panagiotis C. G. Vassiliou

Authors
  1. Aleka A. Papadopoulou
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  2. Panagiotis C. G. Vassiliou
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Editor information

Editors and Affiliations

  1. Université Libre de Bruxelles, Belgium

    Jacques Janssen

  2. Université de Technologie de Compiègne, France

    Nikolaos Limnios

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© 1999 Kluwer Academic Publishers

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Papadopoulou, A.A., Vassiliou, P.C.G. (1999). Continuous Time Non Homogeneous Semi-Markov Systems. In: Janssen, J., Limnios, N. (eds) Semi-Markov Models and Applications. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-3288-6_15

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  • DOI: https://doi.org/10.1007/978-1-4613-3288-6_15

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-3290-9

  • Online ISBN: 978-1-4613-3288-6

  • eBook Packages: Springer Book Archive

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