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Optimal threshold probability and expectation in semi-Markov decision processes

Applied Mathematics and Computation, 2010
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Masahiko Sakaguchi, Yoshio Ohtsubo
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Optimization for condition-based maintenance with semi-Markov decision process

Reliability Engineering & System Safety, 2005
The semi-Markov decision model is a powerful tool in analyzing sequential decision processes with random decision epochs. In this paper, we have built the semi-Markov decision process (SMDP) for the maintenance policy optimization of condition-based preventive maintenance problems, and have presented the approach for joint optimization of inspection ...
Dongyan Chen, Kishor S. Trivedi
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Performance Optimization of Semi-Markov Decision Processes with Discounted-cost Criteria

European Journal of Control, 2008
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Baoqun Yin   +3 more
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Semi-Markov decision processes with polynomial reward

Journal of Applied Probability, 1982
A semi-Markov decision process, with a denumerable multidimensional state space, is considered. At any given state only a finite number of actions can be taken to control the process. The immediate reward earned in one transition period is merely assumed to be bounded by a polynomial and a bound is imposed on a weighted moment of the next state reached
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Reinforcement learning for semi-Markov decision processes with applications

2023
This thesis focuses on semi-Markov decision processes and their connection with Reinforcement Learning via Q-learning technique. We start by discussing some general ideas around Machine Learning, Reinforcement Learning and Hierarchical Reinforcement Learning.
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Constrained Discounted Semi-Markov Decision Processes

2002
This paper reduces problems on the existence and the finding of optimal policies for multiple criterion discounted SMDPs to similar problems for MDPs. We prove this reduction and illustrate it by extending to SMDPs several results for constrained discounted MDPs.
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Semi-Markov decision processes with a reachable state-subset

Optimization, 1989
We consider the problem of minimizing the long-run average expected cost per unit time in a semi-Markov decision process with arbitrary state and action space, Assuming the existence .of a Borel subset of state space called a reachable state-subset, we derive the optimality equation for the unbounded costs.
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On the Optimality Conditions for Semi-Markov Decision Processes

1977
The paper presents a recurrence formula for the difference between expected rewards and sojourn times generated by N transitions of a semi-Markov decision process with finite state space. Using the recurrence formula convergence of policy iteration method can be easily verified and also necessary and sufficient optimality conditions for average optimal
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Learning Automaton for Finite Semi-Markov Decision Processes

1983
A finite semi-Markov decision process is studied to maximize the expected average reward. The semi-Markov kernel of the process depends on an unknown parameter taking values in a subset [a, b] of ℝS. A controller modelled as a learning automaton updates sequentially the probabilities of generating decisions based on the observed decisions, states, and ...
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