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Journal of Mathematical Sciences

, Volume 92, Issue 3, pp 3857–3872 | Cite as

System stability and optimal control

  • E. V. Bulinskaya
Article

Abstract

Stochastic models arising in inventory, insurance, queueing theory, and other areas are considered. The underlying process is a random walk with two absorbing boundaries, 0 and n. It is proved that the introduction of a multi-level control radically changes the asymptotic behavior (as n→∞) of normalized absorption time and simultaneously stabilizes the system. Some optimization problems are solved as well.

Keywords

Asymptotic Behavior Random Walk Limit Distribution Probability Generate Function Control Implementation 
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

© Plenum Publishing Corporation 1998

Authors and Affiliations

  • E. V. Bulinskaya
    • 1
  1. 1.Moscow State UniversityMoscowRussia

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