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Interval Methods for Uncertain Markov Decision Processes

In: Markov Processes and Controlled Markov Chains

Author

Listed:
  • Masami Kurano

    (Chiba University)

  • Masami Yasuda

    (Chiba University)

  • Jun-ichi Nakagami

    (Chiba University)

Abstract

In this paper, interval methods for uncertain Markov decision processes are considered. That is, a controlled Markov set-chain model with a finite state is developed by an interval arithmetic analysis, and we will find Pareto optimal policies which maximize the discounted or average expected rewards over all stationary policies under some partial order. The optimal policies are characterized by a maximal solution of an optimality equation including efficient set function.

Suggested Citation

  • Masami Kurano & Masami Yasuda & Jun-ichi Nakagami, 2002. "Interval Methods for Uncertain Markov Decision Processes," Springer Books, in: Zhenting Hou & Jerzy A. Filar & Anyue Chen (ed.), Markov Processes and Controlled Markov Chains, chapter 0, pages 223-232, Springer.
  • Handle: RePEc:spr:sprchp:978-1-4613-0265-0_12
    DOI: 10.1007/978-1-4613-0265-0_12
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