Conditions for existence of average and Blackwell optimal stationary policies in denumerable Markov decision processes
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Publication:1112739
DOI10.1016/0022-247X(88)90098-4zbMath0659.90094OpenAlexW2047457492MaRDI QIDQ1112739
Publication date: 1988
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-247x(88)90098-4
spectral theoryresolventssufficient existence conditionsexistence of stationary Blackwell optimal policiesone-step transition probability matrices
Spectrum, resolvent (47A10) Probabilistic potential theory (60J45) Markov and semi-Markov decision processes (90C40)
Related Items (7)
The existence of sensitive optimal policies in two multi-dimensional queueing models ⋮ Strong 1-optimal stationary policies in denumerable Markov decision processes ⋮ Blackwell optimal policies in a Markov decision process with a Borel state space ⋮ A note on the existence of optimal stationary policies for average Markov decision processes with countable states ⋮ Denumerable semi-Markov decision chains with small interest rates ⋮ Blackwell optimality in the class of Markov policies for continuous-time controlled Markov chains ⋮ A survey of recent results on continuous-time Markov decision processes (with comments and rejoinder)
Cites Work
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- Existence of optimal stationary policies in average reward Markov decision processes with a recurrent state
- On the Existence of Average Optimal Policies in Semiregenerative Decision Models
- Denumerable Undiscounted Semi-Markov Decision Processes with Unbounded Rewards
- On undiscounted markovian decision processes with compact action spaces
- Average, Sensitive and Blackwell Optimal Policies in Denumerable Markov Decision Chains with Unbounded Rewards
- Discrete Dynamic Programming
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