We consider a very general interacting branching process which includes most of the important interacting branching models considered so far. After obtaining some key preliminary results, we first obtain some elegant ...We consider a very general interacting branching process which includes most of the important interacting branching models considered so far. After obtaining some key preliminary results, we first obtain some elegant conditions regarding regularity and uniqueness, Then the extinction vector is obtained which is very easy to be calculated. The mean extinction time and the conditional mean extinction time are revealed.The mean explosion time and the total mean life time of th, processes are also investigated and resolved.展开更多
In this paper, an emotional mathematical model and affective state probability description space of a humanoid robot are set up on the basis of psycho-dynamics＇ psychological energy and affective energy conservation ...In this paper, an emotional mathematical model and affective state probability description space of a humanoid robot are set up on the basis of psycho-dynamics＇ psychological energy and affective energy conservation law. The emotional state transferring process and hidden Markov chain algorithm of stimulating transition process are then studied. The simulation results show that the mathematical model is applicable to the authentic affective state change rule of human beings. Finally, the gait generation experiment results of control signal and electric current tracking wave-form are presented to demonstrate the validity of the proposed mathematical model.展开更多
The construction process control of large-scale projects is one of the difficulties and keys in the owner’s project management. Based on generalization process index, this paper proposes an approach to construction p...The construction process control of large-scale projects is one of the difficulties and keys in the owner’s project management. Based on generalization process index, this paper proposes an approach to construction project process control. The paper elaborates on the concept and calculation of generalization process index, which, on analysis, possesses Markov property. Monthly generalization process index is regarded as a state of Markov chain, and the transition between different states is realized by computer simulation. According to the Markov process forecasting model and by means of MATLAB program, the project process forecast is realized, and the completion probability in contract period is obtained. From practical instances, it is concluded that this approach has good applicability and operability and that the obtained results can reflect the degree of project risks.展开更多
分布式能源在电力系统中的渗透率不断提升,使得配电网系统呈现出更大的复杂性和不确定性,这将对电力网络的可靠性产生影响。为确定配电网系统中可再生能源发电机组的最优安装位置和容量,文章结合随机模糊期望值算子和马尔科夫蒙特卡洛法...分布式能源在电力系统中的渗透率不断提升,使得配电网系统呈现出更大的复杂性和不确定性,这将对电力网络的可靠性产生影响。为确定配电网系统中可再生能源发电机组的最优安装位置和容量,文章结合随机模糊期望值算子和马尔科夫蒙特卡洛法(Markov Chain Monte Carlo,MCMC),提出了一种可靠性评估框架。该模型建立了风电和光伏出力的多状态概率密度函数,采用随机模糊期望值算子模拟配电网功率损耗和电压稳定性的不确定性。在考虑配电系统拓扑结构的情况下,利用MCMC模拟配电网系统中所有非源元件的随机性,由指数分布生成配电网组件故障事件及恢复时间。最后,在IEEE-33节点标准配电网上,对系统平均停电次数、系统平均停电持续时间、电量不足期望值3种可靠性指数进行评价,实验结果证明了所提出方法的有效性。展开更多
We consider a general piecewise deterministic Markov process(PDMP) X = {X_t}_(t≥0) with a measure-valued generator A, for which the conditional distribution function of the inter-occurrence time is not necessarily ab...We consider a general piecewise deterministic Markov process(PDMP) X = {X_t}_(t≥0) with a measure-valued generator A, for which the conditional distribution function of the inter-occurrence time is not necessarily absolutely continuous. A general form of the exponential martingales that are associated with X is given by■By considering this exponential martingale to be a likelihood-ratio process, we define a new probability measure and show that the process X is still a general PDMP under the new probability measure. We additionally find the new measure-valued generator and its domain. To illustrate our results, we investigate the continuous-time compound binomial model.展开更多
基金supported by National Natural Science Foundation of China (Grant Nos 11371374 and 11571372)Research Fund for the Doctoral Program of Higher Education of China (Grant No 20110162110060)
文摘We consider a very general interacting branching process which includes most of the important interacting branching models considered so far. After obtaining some key preliminary results, we first obtain some elegant conditions regarding regularity and uniqueness, Then the extinction vector is obtained which is very easy to be calculated. The mean extinction time and the conditional mean extinction time are revealed.The mean explosion time and the total mean life time of th, processes are also investigated and resolved.
基金supported by National High Technology Research and Development Program of China (863 Program)(No.2007AA04Z218)
文摘In this paper, an emotional mathematical model and affective state probability description space of a humanoid robot are set up on the basis of psycho-dynamics＇ psychological energy and affective energy conservation law. The emotional state transferring process and hidden Markov chain algorithm of stimulating transition process are then studied. The simulation results show that the mathematical model is applicable to the authentic affective state change rule of human beings. Finally, the gait generation experiment results of control signal and electric current tracking wave-form are presented to demonstrate the validity of the proposed mathematical model.
文摘The construction process control of large-scale projects is one of the difficulties and keys in the owner’s project management. Based on generalization process index, this paper proposes an approach to construction project process control. The paper elaborates on the concept and calculation of generalization process index, which, on analysis, possesses Markov property. Monthly generalization process index is regarded as a state of Markov chain, and the transition between different states is realized by computer simulation. According to the Markov process forecasting model and by means of MATLAB program, the project process forecast is realized, and the completion probability in contract period is obtained. From practical instances, it is concluded that this approach has good applicability and operability and that the obtained results can reflect the degree of project risks.
文摘分布式能源在电力系统中的渗透率不断提升,使得配电网系统呈现出更大的复杂性和不确定性,这将对电力网络的可靠性产生影响。为确定配电网系统中可再生能源发电机组的最优安装位置和容量,文章结合随机模糊期望值算子和马尔科夫蒙特卡洛法(Markov Chain Monte Carlo,MCMC),提出了一种可靠性评估框架。该模型建立了风电和光伏出力的多状态概率密度函数,采用随机模糊期望值算子模拟配电网功率损耗和电压稳定性的不确定性。在考虑配电系统拓扑结构的情况下,利用MCMC模拟配电网系统中所有非源元件的随机性,由指数分布生成配电网组件故障事件及恢复时间。最后,在IEEE-33节点标准配电网上,对系统平均停电次数、系统平均停电持续时间、电量不足期望值3种可靠性指数进行评价,实验结果证明了所提出方法的有效性。
基金supported by National Natural Science Foundation of China (Grant No. 11471218)Hebei Higher School Science and Technology Research Projects (Grant No. ZD20131017)
文摘We consider a general piecewise deterministic Markov process(PDMP) X = {X_t}_(t≥0) with a measure-valued generator A, for which the conditional distribution function of the inter-occurrence time is not necessarily absolutely continuous. A general form of the exponential martingales that are associated with X is given by■By considering this exponential martingale to be a likelihood-ratio process, we define a new probability measure and show that the process X is still a general PDMP under the new probability measure. We additionally find the new measure-valued generator and its domain. To illustrate our results, we investigate the continuous-time compound binomial model.
