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Finite-step approximation error bounds for solving average-reward-controlled Markov set-chains
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DOI：10.1109/TAC.2007.914295.png)
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This paper is a sequel to the analysis of finite-step approximations in solving controlled Markov set-chains for infinite horizon discounted reward by the author. For average-reward-controlled Markov set-chains with finite state and action spaces, we develop a value-iteration-type algorithm and analyze an error bound relative to the optimal average reward that satisfies an optimality equation from the successive approximation under an ergodicity condition. We further analyze an error bound of the rolling horizon control policy defined from a finite-step approximate value by applying the value-iteration-type algorithm.
Keyword:
controlled Markov process
Markov set-chain
rolling horizon
value iteration
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IF:
7
论文数:
1.3W
被引数:
6.7W
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分享收藏Error bounds for finite step approximations for solving infinite horizon controlled Markov set-chains求解无限水平控制的马尔可夫集链的有限步逼近的误差范围
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