The method of Zeng et al. (1991) employed diameter growth to estimate the transition probability of the matrix model in uneven-aged forest stands. In this paper the Weibull distribution for even-aged forest stands ins...The method of Zeng et al. (1991) employed diameter growth to estimate the transition probability of the matrix model in uneven-aged forest stands. In this paper the Weibull distribution for even-aged forest stands instead of uniform distribution chosen by Zeng is used. By comparing the results of the improved method with those of the original method of Zeng, it turns out that the improved method of Zeng given in this paper is more efficient.展开更多
In this paper we consider a Markov chain model in an ATM network, which has been studied by Dag and Stavrakakis. On the basis of the iterative formulas obtained by Dag and Stavrakakis, we obtain the explicit analytica...In this paper we consider a Markov chain model in an ATM network, which has been studied by Dag and Stavrakakis. On the basis of the iterative formulas obtained by Dag and Stavrakakis, we obtain the explicit analytical expression of the transition probability matrix. It is very simple to calculate the transition probabilities of the Markov chain by these expressions. In addition, we obtain some results about the structure of the transition probability matrix, which are helpful in numerical calculation and theoretical analysis.展开更多
In this note, the state and mode feedback control problems for a class of discrete-time Markovian jump linear systems(MJLSs) with controllable mode transition probability matrix(MTPM) are investigated. In most achieve...In this note, the state and mode feedback control problems for a class of discrete-time Markovian jump linear systems(MJLSs) with controllable mode transition probability matrix(MTPM) are investigated. In most achievements, controller design of MJLSs pays more attention to state/output feedback control for stability, while the system cost in practice is out of consideration. In this paper, we propose a control mechanism consisting of two parts: finite-path-dependent state feedback controller design with which uniform stability of MJLSs can be ensured, and mode feedback control which aims to decrease system cost. Differing from the traditional state/output feedback controller design, the main novelty is that the proposed control mechanism not only guarantees system stability, but also decreases system cost effectively by adjusting the occurrence probability of system modes. The effectiveness of the proposed mechanism is illustrated via numerical examples.展开更多
犯罪分布预测问题对社会稳定有积极影响,在学术界引起了广泛关注。现有的研究方法并不能很好的适用于本文所用的数据集。因此,本文构建了矢量运动模型,并提出了一种名为TPML-WMA(Transition Probability Matrix Learning and Weighted M...犯罪分布预测问题对社会稳定有积极影响,在学术界引起了广泛关注。现有的研究方法并不能很好的适用于本文所用的数据集。因此,本文构建了矢量运动模型,并提出了一种名为TPML-WMA(Transition Probability Matrix Learning and Weighted Moving Average)的新算法,利用此算法去学习转移概率矩阵,然后对得到的矩阵做加权移动处理,进而来预测未来的犯罪率分布。本文所用数据集是中国某市2001年到2011年共11年间盗窃案发生的数据集,在此之上本文建立了VM(Vector Motion)模型,提出了TPML-WMA算法对犯罪率进行预测,并讨论了不同初始条件下算法的性能。本文还将所提出的算法与基于最小二乘法的经典线性回归方法进行比较。拟合的结果表明TPML-WMA模型的预测性能较线性回归模型有了很大提升。展开更多
基金This paper was supported by the National Natural Science Foundation of China
文摘The method of Zeng et al. (1991) employed diameter growth to estimate the transition probability of the matrix model in uneven-aged forest stands. In this paper the Weibull distribution for even-aged forest stands instead of uniform distribution chosen by Zeng is used. By comparing the results of the improved method with those of the original method of Zeng, it turns out that the improved method of Zeng given in this paper is more efficient.
基金This work is supported by the National Key Project of China(No 970211017,the National Natural Science Foundation of China(No,10271102)and Hebei Province Doctoral Foundation(No.2002131)
文摘In this paper we consider a Markov chain model in an ATM network, which has been studied by Dag and Stavrakakis. On the basis of the iterative formulas obtained by Dag and Stavrakakis, we obtain the explicit analytical expression of the transition probability matrix. It is very simple to calculate the transition probabilities of the Markov chain by these expressions. In addition, we obtain some results about the structure of the transition probability matrix, which are helpful in numerical calculation and theoretical analysis.
基金supported by the National Natural Science Foundation of China(61374073,61503356)Anhui Provincial Natural Science Foundation(1608085QF153)
文摘In this note, the state and mode feedback control problems for a class of discrete-time Markovian jump linear systems(MJLSs) with controllable mode transition probability matrix(MTPM) are investigated. In most achievements, controller design of MJLSs pays more attention to state/output feedback control for stability, while the system cost in practice is out of consideration. In this paper, we propose a control mechanism consisting of two parts: finite-path-dependent state feedback controller design with which uniform stability of MJLSs can be ensured, and mode feedback control which aims to decrease system cost. Differing from the traditional state/output feedback controller design, the main novelty is that the proposed control mechanism not only guarantees system stability, but also decreases system cost effectively by adjusting the occurrence probability of system modes. The effectiveness of the proposed mechanism is illustrated via numerical examples.
文摘犯罪分布预测问题对社会稳定有积极影响,在学术界引起了广泛关注。现有的研究方法并不能很好的适用于本文所用的数据集。因此,本文构建了矢量运动模型,并提出了一种名为TPML-WMA(Transition Probability Matrix Learning and Weighted Moving Average)的新算法,利用此算法去学习转移概率矩阵,然后对得到的矩阵做加权移动处理,进而来预测未来的犯罪率分布。本文所用数据集是中国某市2001年到2011年共11年间盗窃案发生的数据集,在此之上本文建立了VM(Vector Motion)模型,提出了TPML-WMA算法对犯罪率进行预测,并讨论了不同初始条件下算法的性能。本文还将所提出的算法与基于最小二乘法的经典线性回归方法进行比较。拟合的结果表明TPML-WMA模型的预测性能较线性回归模型有了很大提升。
