Titlebook: Markov Decision Processes with Their Applications; Qiying Hu,Wuyi Yue Book 2008 Springer-Verlag US 2008 Markov decision process.Observable

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Semi-Markov Decision Processes,t decision epochs are not considered. Those in CTMDPs are continuous time Markov chains, where the decision is chosen every time. In this chapter, we study a stationary semi-Markov decision processes (SMDPs) model, where the underlying stochastic processes are semi-Markov processes. Here, the decisi

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Markovdecisionprocessesinsemi-Markov Environments,m that itself can be modeled by a Markov decision process, but the system is influenced by its environment which is modeled by a semi-Markov process. The influence of the environment on the system occurs when the environment state changes, and consists of the following three things: (1) an instantan

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Optimal control of discrete event systems: I, new optimal control problem in DESs. The performance measure is to maximize the maximal discounted total reward among all possible strings (i.e., paths) of the controlled system. The condition we need for this is only that the performance measure is well defined. By using the method and ideas prese

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Optimal control of discrete event systems: II,three ways. First, the discrete event system is defined as a collection of event sets that depend on strings. Whenthe system generates a string, the next event that occurs should be in the corresponding event set. Second, the rewards are for choosing control inputs at strings. Finally, the control p

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Optimal replacement under stochastic Environments,nd thus should be replaced by a new one when it is too bad. There are two types of deterioration considered in reliability literature. The first one is due to the operation of the system itself, and the second one is caused by the influence of the environment, for example, shocks to the system. We c

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Optimalal location in sequential online Auctions,quential auctions on the Web and has a reserve price set on the items. We present two such Internet auction cases: one is where the reserve price is private (known only by the seller). The other one is where the reserve is public (known to all). The buyers arrive according to a Poisson process. The

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