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Optimality Conditions for CTMDP with Average Cost Criterion

In: Markov Processes and Controlled Markov Chains

Author

Listed:
  • Xianping Guo

    (Zhongshan University, Department of Mathematics)

  • Weiping Zhu

    (The University of Queensland, Department of Computer Science and Electrical Engineering)

Abstract

In this paper, we consider continuous time Markov decision processes with (possibly unbounded) transition and cost rates under the average cost criterion. We present a set of conditions that is weaker than those in [5, 11, 12, 14], and prove the existence of optimal stationary policies using the optimality inequality. Moreover, the theory is illustrated by two examples.

Suggested Citation

  • Xianping Guo & Weiping Zhu, 2002. "Optimality Conditions for CTMDP with Average Cost Criterion," Springer Books, in: Zhenting Hou & Jerzy A. Filar & Anyue Chen (ed.), Markov Processes and Controlled Markov Chains, chapter 0, pages 167-188, Springer.
  • Handle: RePEc:spr:sprchp:978-1-4613-0265-0_10
    DOI: 10.1007/978-1-4613-0265-0_10
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