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Decomposable stochastic networks: Some observations

  • R. Schassberger
Queues And Networks 2
Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 60)

Abstract

Global balance equations of the type pQ=O, where Q is the transition intensity matrix of an irreducible ergodic Markov chain and p is the corresponding invariant probability vector, sometimes exhibit a property of so-called partial balance. In all such examples known to the author, such partial balance means that Q can be written in a nontrivial way as Q=ΣQi, where the Qi are themselves transition intensity matrices and satisfy pQi=O for the mentioned p. The paper elaborates on this phenomenon.

Keywords

Stochastic Network Exchange Rule Global Balance Jackson Network Matrix Term 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 1984

Authors and Affiliations

  • R. Schassberger
    • 1
  1. 1.Technical University of BerlinGermany

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