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Semi-Markov Decision Processes with Unbounded Rewards
Management Science, 1973We consider a semi-Markov decision process with arbitrary action space; the state space is the nonnegative integers. As in queueing systems, we assume that {0, 1, 2, …, n + N} is the set of states accessible from state n in one transition, where N is finite and independent of n.
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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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Average cost semi-markov decision processes
Journal of Applied Probability, 1970The semi-Markov decision model is considered under the criterion of long-run average cost. A new criterion, which for any policy considers the limit of the expected cost incurred during the first n transitions divided by the expected length of the first n transitions, is considered.
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Denumerable Undiscounted Semi-Markov Decision Processes with Unbounded Rewards
Mathematics of Operations Research, 1983This paper establishes the existence of a solution to the optimality equations in undis-counted semi-Markov decision models with countable state space, under conditions generalizing the hitherto obtained results. In particular, we merely require the existence of a finite set of states in which every pair of states can reach each other via some ...
Awi Federgruen +2 more
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Constrained Semi-Markov decision processes with average rewards
ZOR Zeitschrift f�r Operations Research Mathematical Methods of Opeartions Research, 1994This paper deals with constrained average reward semi-Markov decision processes with finite state and action sets. Two average reward criteria are considered, namely time average and ratio average. The author proved the existence of optimal mixed stationary policies and showed, under the unichain condition, the existence of randomized stationary ...
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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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Optimum maintenance policy using semi-Markov decision processes
Electric Power Systems Research, 2006A method is presented to solve for the optimum maintenance policy of repairable power equipment. The approach uses a continuous-time semi-Markov process (SMP) to first find the optimal maintenance rate for maximum availability of the equipment. Then a semi-Markov decision process (SMDP) is utilized to determine whether maintenance should be performed ...
Curtis L. Tomasevicz, Sohrab Asgarpoor
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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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On undiscounted semi-Markov decision processes with absorbing states
Mathematical Methods of Operations Research, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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