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Weighted singularly perturbed hybrid stochastic systems

Abstract

In this paper weighted singularly perturbed hybrid stochastic systems are discussed. Under some reasonable assumptions, it is shown that there exists a uniformly δ-optimal policy when the perturbation is sufficiently small.

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Correspondence to Ke Liu.

Additional information

Received: December 2005 / Revised: March 2005

This author was supported partially by National Natural Science Foundation of China under grant 60274050, 70221001 and 70328001.

This author was supported partially by Australia Research Council Grant #A49532206.

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Liu, K., Filar, J. Weighted singularly perturbed hybrid stochastic systems. Math Meth Oper Res 62, 41–54 (2005). https://doi.org/10.1007/s00186-005-0440-7

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Keywords

  • Weighted Markov Decision Processes
  • Hybrid Stochastic System
  • Perturbations
  • Optimal policy
  • δ-optimal

Mathematics Subject Classification

  • Primary 90C40