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| 1 | Existence,uniqueness and ergodicity of Markov branching processes with immigration and instantaneous resurrection显示文摘We consider a modified Markov branching process incorporating with both state-independent immigration and instantaneous resurrection.The existence criterion of the process is firstly considered.We prove that if the sum of the resurrection rates is finite,then there does not exist any process.An existence criterion is then established when the sum of the resurrection rates is infinite.Some equivalent criteria,possessing the advantage of being easily checked,are obtained for the latter case.The uniqueness criterion for such process is also investigated.We prove that although there exist infinitely many of them,there always exists a unique honest process for a given q-matrix.This unique honest process is then constructed.The ergodicity property of this honest process is analysed in detail.We prove that this honest process is always ergodic and the explicit expression for the equilibrium distribution is established. | LI JunPing1 & CHEN AnYue2,3 1 School of Mathematical Science and Computing Technology,Central South University,Changsha410075,China 2 Department of Mathematical Sciences,The University of Liverpool,Liverpool,L69 7ZL,UK 3 Department of Statistics and Actuarial Science,University of Hong Kong,Pokfulam Road,Hong Kong,China | 2008 | Science China Mathematics2008,51,7: | 4 |
| 2 | 电力系统经济调度中遗传算法的比较研究显示文摘本文介绍了在电力经济调度中用于改善系统运行性能的遗传算法的某些修改。目的是试图找出供遗传算法使用的最佳运行点。为了改善运行性能,涉及到问题的两个阶段:即首先是选择一种适当的遗传策略,其次是为所选定的遗传策略对各种参数的值进行协调。这两个阶段均已在六机系统中经过试验,并按照在线及离线两种情况对试验结果进行了比较。全部研究工作清楚地表明,采用先进的遗传算子及优化选择参数值能使系统性能显著增强。 | Y.H. Song, University of Bath, UKF. li . R. Morgan , John Moores University, Liverpool, UKD. T. Y Cheng, National Grid Cornpany , UK | 1995 | 电网技术1995,19,3: | 4 |
| 3 | An adaptive scaled boundary finite element method by subdividing subdomains for elastodynamic problems显示文摘The scaled boundary finite element method(SBFEM) is a semi-analytical numerical method,which models an analysis domain by a small number of large-sized subdomains and discretises subdomain boundaries only.In a subdomain,all fields of state variables including displacement,stress,velocity and acceleration are semi-analytical,and the kinetic energy,strain energy and energy error are all integrated semi-analytically.These advantages are taken in this study to develop a posteriori h-hierarchical adaptive SBFEM for transient elastodynamic problems using a mesh refinement procedure which subdivides subdomains.Because only a small number of subdomains are subdivided,mesh refinement is very simple and efficient,and mesh mapping to transfer state variables from an old mesh to a new one is also very simple but accurate.Two 2D examples with stress wave propagation were modelled.The results show that the developed method is capable of capturing propagation of steep stress regions and calculating accurate dynamic responses,using only a fraction of degrees of freedom required by adaptive finite element method. | ZHANG ZiHua 1,2,YANG ZhenJun 2,LIU GuoHua 1 & HU YunJin 1 1 College of Civil Engineering and Architecture,Zhejiang University,Hangzhou 310058,China 2 School of Engineering,University of Liverpool,L69 3GQ,UK | 2011 | Science China(Technological Sciences)2011,54,S1: | 4 |
| 4 | Fast Training of Support Vector Machines Using Error-Center-Based Optimization显示文摘This paper presents a new algorithm for Support Vector Machine (SVM) training, which trains a machine based on the cluster centers of errors caused by the current machine. Experiments with various training sets show that the computation time of this new algorithm scales almost linear with training set size and thus may be applied to much larger training sets, in comparison to standard quadratic programming (QP) techniques. | L. Meng, Q. H. Wu Department of Electrical Engineering and Electronics, The University of Liverpool, Liverpool, L69 3GJ, UK | 2005 | International Journal of Automation and computing2005,2,1: | 3 |
| 5 | Lactose intolerance in infants: harder to investigate now following discontinua- tion of Clinitest 显示文摘 | Liverpool UK Chong CK Bunn J | 2010 | P Arch Dis Child2010,96,6: | 1 |
| 6 | Power System Aggregate Load Area Modelling by Particle Swarm Optimization显示文摘This paper presents a new approach for deriving a power system aggregate load area model (ALAM). In this approach, an equivalent area load model is derived to represent the load characters for a particular area load of a power system network. The Particle Swarm Optimization (PSO) method is employed to identify the unknown parameters of the generalised system, ALAM, based on the system measurement directly using a one-step scheme. Simulation studies are carried out for an IEEE 14-Bus power system and an IEEE 57-Bus power system. Simulation results show that the ALAM can represent the area load characters accurately under different operational conditions and at different power system states. | Jian-Lin Wei, Ji-Hong Wang, Q. H. Wu, Nan Lu Department of Electrical Engineering and Electronics, University of Liverpool, Brownlow Hill, Liverpool L69 3GJ, UK | 2005 | International Journal of Automation and computing2005,2,2: | 1 |