We discuss a transfer line consisting of a reliable machine, an unreliable machine and a storage buffer. This transfer line can be described by a group of partial differential equations with integral boundary conditio...We discuss a transfer line consisting of a reliable machine, an unreliable machine and a storage buffer. This transfer line can be described by a group of partial differential equations with integral boundary conditions. First we show that the operator corresponding to these equations generates a positive contraction C0-semigroup T(t), and prove that T(t) is a quasi-compact operator. Next we verify that 0 is an eigenvalue of this operator and its adjoint operator with geometric multiplicity one. Last, by using the above results we obtain that the time-dependent solution of these equations converges strongly to their steady-state solution.展开更多
This paper presents a predictive model of combination on stochastic time series, Markov chain and data mining, discusses how it can be applied. This model is proved valid when it is applied to predict the tendency of ...This paper presents a predictive model of combination on stochastic time series, Markov chain and data mining, discusses how it can be applied. This model is proved valid when it is applied to predict the tendency of Shanghai Stock Market Index in 2003.展开更多
One model of stochastic time series - Markov chain was presented in this paper. We study and discuss the application of this model. Some results that the policy factor make to stock price were offered when this model ...One model of stochastic time series - Markov chain was presented in this paper. We study and discuss the application of this model. Some results that the policy factor make to stock price were offered when this model is applied to analyze the index of Shanghai stock market quantitatively.展开更多
基金This research is supported by Excellent Youth Reward Foundation of the Higher Education Institution of Xinjiang (No: XJEDU2004E05) the Major Project of the Ministry of Education of China(No. 205180).
文摘We discuss a transfer line consisting of a reliable machine, an unreliable machine and a storage buffer. This transfer line can be described by a group of partial differential equations with integral boundary conditions. First we show that the operator corresponding to these equations generates a positive contraction C0-semigroup T(t), and prove that T(t) is a quasi-compact operator. Next we verify that 0 is an eigenvalue of this operator and its adjoint operator with geometric multiplicity one. Last, by using the above results we obtain that the time-dependent solution of these equations converges strongly to their steady-state solution.
文摘This paper presents a predictive model of combination on stochastic time series, Markov chain and data mining, discusses how it can be applied. This model is proved valid when it is applied to predict the tendency of Shanghai Stock Market Index in 2003.
文摘One model of stochastic time series - Markov chain was presented in this paper. We study and discuss the application of this model. Some results that the policy factor make to stock price were offered when this model is applied to analyze the index of Shanghai stock market quantitatively.