Titlebook: Continuous-Time Markov Chains and Applications; A Singular Perturbat G. George Yin,Qing Zhang Book 19981st edition Springer Science+Busines

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Numerical Methods for Control and Optimizationit systems that are easier to handle than the original problems. The optimal or nearly optimal controls of the limit problems can be used to construct nearly optimal controls of the original systems. Although the limit systems are substantially simpler than the original pre-limit ones, closed-form s

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Markovian Modelss naturally arises. This often results from aggregating the states, decomposing a large-scale system into a number of subsystems with manageable size, using multiple step size in optimization procedures and other consideration in modeling. To formulate such problems, one introduces a small parameter

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Asymptotic Normality and Exponential Boundshe limit process by deriving explicit formulae for the mean and covariance functions, and provide exponential bounds for the normalized process. It is worthwhile to note that the limit covariance function depends on the boundary layer terms, which is different from most of the existing results of ce

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Regierungssysteme und Demokratietypens naturally arises. This often results from aggregating the states, decomposing a large-scale system into a number of subsystems with manageable size, using multiple step size in optimization procedures and other consideration in modeling. To formulate such problems, one introduces a small parameter