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Ukrainian Mathematical Journal

, Volume 60, Issue 9, pp 1492–1497 | Cite as

Convergence of an impulsive storage process with jump switchings

  • I. V. Samoilenko
Article

We investigate an impulsive storage process switched by a jump process. The switching process is, in turn, averaged. We prove the weak convergence of the storage process in the scheme of series where a small parameter ε tends to zero.

Keywords

Markov Process Weak Convergence Singular Perturbation Jump Process Markov Jump 
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Copyright information

© Springer Science+Business Media, Inc. 2008

Authors and Affiliations

  • I. V. Samoilenko
    • 1
  1. 1.Institute of MathematicsUkrainian Academy of SciencesKievUkraine

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