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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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Semi-Markov Decision Process With Partial Information for Maintenance Decisions
IEEE Transactions on Reliability, 2014A critical factor that prevents optimal scheduling of maintenance interventions is the uncertainty regarding the current condition of the asset under consideration, as well as the rate at which deterioration takes place. However, current maintenance modeling and optimization techniques assume that the condition of the asset is either known, or assumed ...
Rengarajan Srinivasan +1 more
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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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Semi-Markov decision processes with variance minimization criterion
4OR, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qingda Wei, Xianping Guo
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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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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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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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