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Discounted semi-markov decision process in a semi-markov environment
Optimization, 1997This paper presents the discounted semi-Markov decision process (SMDP) with Borel state space in a semi-Markov environment. It describes a system which behaves like a SMDP except that the system is influenced by its semi-Markov process environment. Following each state transition of the environment, the parameters of the SMDP changes.
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Application of Semi-Markov Decision Process in Bridge Management
IABSE Reports, 2015<p>The state-of-the-art Bridge Management Systems (BMSs) feature tightly coupled deterioration and preservation optimization model that enable determining the most cost-effective maintenance strategies at both the project and network levels. In other to improve deterioration model, many authors suggest the application of Weibull distribution for ...
Rade Hajdin +2 more
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Cost rate heuristics for semi-Markov decision processes
Journal of Applied Probability, 1992In response to the computational complexity of the dynamic programming/backwards induction approach to the development of optimal policies for semi-Markov decision processes, we propose a class of heuristics resulting from an inductive process which proceeds forwards in time.
Glazebrook, K.D. +2 more
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IEEE Transactions on Power Systems
Repair and reconfiguration are vital for power recovery after outages caused by natural disasters in distribution systems, but sequential and uncertainty-inflicted decision points due to uncertain repair periods make power recovery complicated.
Chong Wang +5 more
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Repair and reconfiguration are vital for power recovery after outages caused by natural disasters in distribution systems, but sequential and uncertainty-inflicted decision points due to uncertain repair periods make power recovery complicated.
Chong Wang +5 more
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Semi-Infinitely Constrained Markov Decision Processes and Provably Efficient Reinforcement Learning
IEEE Transactions on Pattern Analysis and Machine IntelligenceWe propose a novel generalization of constrained Markov decision processes (CMDPs) that we call the semi-infinitely constrained Markov decision process (SICMDP).
Liangyu Zhang +3 more
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Average Cost Markov Decision Processes with Semi-Uniform Feller Transition Probabilities
Modern Trends in Controlled Stochastic Processes:, 2021This paper studies average-cost Markov decision processes with semi-uniform Feller transition probabilities. This class of MDPs was recently introduced by the authors to study MDPs with incomplete information.
E. Feinberg, P. Kasyanov, M. Zgurovsky
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Optimization Methods and Software, 2003
This paper investigates an optimal replacement problem of a system in a semi-Markov environment. The system itself deteriorates according to a semi-Markov process, and is further influenced by its environment, which changes according to a semi-Markov process.
Qiying Hu, Wuyi Yue
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This paper investigates an optimal replacement problem of a system in a semi-Markov environment. The system itself deteriorates according to a semi-Markov process, and is further influenced by its environment, which changes according to a semi-Markov process.
Qiying Hu, Wuyi Yue
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Generalized semi-Markov decision processes
Journal of Applied Probability, 1979Various authors have derived the necessary and sufficient conditions for optimality in semi-Markov decision processes in which the state remains constant between jumps. In this paper similar results are presented for a generalized semi-Markov decision process in which the state varies between jumps according to a Markov process with continuous sample ...
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Error bounds of optimization algorithms for semi-Markov decision processes
International Journal of Systems Science, 2007Cao's work shows that, by defining an α-dependent equivalent infinitesimal generator Aα, a semi-Markov decision process (SMDP) with both average- and discounted-cost criteria can be treated as an α-equivalent Markov decision process (MDP), and the performance potential theory can also be developed for SMDPs. In this work, we focus on establishing error
Tang Hao, Baoqun Yin, Hongsheng Xi
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Inspection and maintenance planning: an application of semi-Markov decision processes
Journal of Intelligent Manufacturing, 1997In this paper, we consider a system which deteriorates stochastically from one time unit to another. The state of the system, which is a continuous random variable, can be observed only by inspection. The goal of this paper is to derive a predictive maintenance policy which indicates, at each inspection and according to the observed value, whether a ...
Bérenguer, Christophe +2 more
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