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Continuous Time Discounted Jump Markov Decision Processes: A Discrete-Event Approach
Mathematics of Operations Research, 2004This paper introduces and develops a new approach to the theory of continuous time jump Markov decision processes (CTJMDP). This approach reduces discounted CTJMDPs to discounted semi-Markov decision processes (SMDPs) and eventually to discrete-time Markov decision processes (MDPs).
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The Transformation Method for Continuous-Time Markov Decision Processes
Journal of Optimization Theory and Applications, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Piunovskiy, Alexey, Zhang, Yi
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Preferred Rules in Continuous Time Markov Decision Processes
Management Science, 1974Motivated by a planning horizon result for continuous time Markov decision chains, we study decision rules, called preferred, which may be used in the initially stationary part of nearly optimal policies. We characterize these rules and then, under conditions involving state recurrence and accessibility, consider finding such rules.
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Continuous time markov decision processes with interventions
Stochastics, 1983We study Markov jump decision processes with both continuously and instantaneouslyacting decisions and with deterministic drift between jumps. Such decision processes were recentlyintroduced and studied from discrete time approximations point of view by Van der Duyn Schouten.Weobtain necessary and sufficient optimality conditions for these decision ...
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Continuous‐time markov decision processes with nonzero terminal reward
Naval Research Logistics Quarterly, 1984AbstractIn this article we consider a continuous‐time Markov decision process with a denumerable state space and nonzero terminal rewards. We first establish the necessary and sufficient optimality condition without any restriction on the cost functions.
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Continuous-Time Markov Decision Processes with State-Dependent Discount Factors
Acta Applicandae Mathematicae, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ye, Liuer, Guo, Xianping
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Mean–semivariance optimality for continuous-time Markov decision processes
Systems & Control Letters, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Continuous-Time Markov Decision Processes
2014In this chapter, we review the fundamentals of continuous-time Markov decision processes (CTMDPs) as used in this thesis. Our focus is on CTMDPs as the problems presented in Chap. 2 are considered in continuous time. In Sect. 4.1, we outline the general structure of a CTMDP.
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Bias optimality for multichain continuous-time Markov decision processes
Operations Research Letters, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guo, Xianping +2 more
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Constrained continuous-time Markov decision processes with average criteria
Mathematical Methods of Operations Research, 2007Constrained continuous-time Markov decision processes with a denumerable state space and unbounded reward/cost and transition rates are studied. The criterion to be maximized is the expected average reward, and a constraint is imposed on an expected average cost.
Zhang, Lanlan, Guo, Xianping
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