Controlled semi-markov models - the discounted case

Rabi N. Bhattacharya, Mukul Majumdar

Research output: Contribution to journalArticlepeer-review

27 Scopus citations


Let the state space S be a Borel subset of a complete separable metric space, the action space A compact metric. Existence of stationary optimal policies is proved for general semi-Markov models with possibly unbounded rewards. The corresponding dynamic programming equations are also derived. The paper presents a synthesis and extensions of earlier results.

Original languageEnglish (US)
Pages (from-to)365-381
Number of pages17
JournalJournal of Statistical Planning and Inference
Issue number3
StatePublished - Mar 1989
Externally publishedYes


  • Stationary optimal policy
  • discounted reward
  • dynamic programming equation
  • invariant distribution

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty
  • Applied Mathematics


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