冷贮备冗余系统可靠度预计的递归算法

基于贮备科系统的特点,运用折方法得出一种用计算机求冷贮备冗余系统可靠度的方法,并将该计算方法用于两个计算实例。     

Application of multilevel analysis in animal sciences

Multilevel modeling is considerably useful way to analyze hierarchical data sets. The main purpose of this paper is to apply multilevel analysis in animal science and also show that this modeling technique is appropriate to analyze this kind of data. Thus multilevel modeling technique is used to analyze the milk yield data which has hierarchical structures, sires nested within cows. As a result of the analysis done in this paper, it is obvious that multilevel modeling is needed to use for analyzing this data. This illustrates that it is a convenient way to use multilevel analysis for the data which obtained from animals when the data have hierarchies.     

Logic for abstract hoop twist-structures

In this paper, we introduce and study a logic that corresponds to abstract hoop twist-structures and present some results on this logic. We prove the local deductive theorem for this logic and show that this logic is algebraizable with respect to the quasi-variety of abstract hoop twist-structures.     

An implicit finite difference scheme for the nonlinear size-structured population model

In this paper we consider the "fully nonlinear" size structured population model. We develop an implicit finite difference scheme to approximate the solution of this nonlinear partial differential equation. The convergence of this approximation to a unique bounded variation solution of this model is obtained. Numerical results to an example problem are presented.     

Measuring the strength of trade unions and identifying the privileged groups: A two-dimensional approach and its implementation

Trade unions were important actors in the advanced capitalist countries until the late 1970s, but since the 1980s, union membership is declining. Whether this decline has been homogenous is crucial. Because unions may still have power and non-homogenous decline implies that some groups benefit from this power disproportionately. However, we don’t have instruments to scrutinize this dynamic properly. To fill the gap, this study develops a model that identifies privileged groups within trade unions by informing us about the relative strength of a group within trade unions, the ability of this group to use the union power, and the extent to which union members belonging to the group would advance the interests of the entire group by using this power.     

G-网络排队系统的研究新进展

在研究排队网络的文献中,G-网络(即推广的排队网络)最近受到了国际学者广泛的关注,它的研究在一定程度上丰富了排队网络的内容.正因为有很多学者投入到此项研究中,新的结果是层出不穷的.本文简短地介绍G-网络近年来的发展.     

MARKOV SKELETON PROCESS IN PERT NETWORKS

In this article, we investigate Programming Evaluation and Review Technique networks with independently and generally distributed activity durations. For any path in this network, we select all the activities related to this path such that the completion time of the sub-network （only consisting of all the related activities） is equal to the completion time of this path. We use the elapsed time as the supplementary variables and model this sub-network as a Markov skeleton process, the state space is related to the subnetwork structure. Then use the backward equation to compute the distribution of the sub-network＇s completion time, which is an important rule in project management and scheduling.     

On the Method of Neumann Series for Highly Oscillatory Equations

The main purpose of this paper is to describe and analyse techniques for the numerical solution of highily oscillatory ordinary differential equations by exployting a Neumann expansion. Once the variables in the differential system are changed with respect to a rapidly rotating frame of reference, the Neumann method becomes very effective indeed. However, this effectiveness rests upon suitable quadrature of highly oscillatory multivariate integrals, and we devote part of this paper to describe how to accomplish this to high accuracy with a modest computational effort.     

Parametric approximation problems arising in vector optimization

In this paper, a known scalarization result of vector optimization theory is reviewed and stated in a different form and a new short proof is presented. Moreover, it is shown how to apply this result to multi-objective optimization problems and to special problems in statistics and optimal control theory.The author is grateful to Professor H. Schellhaas and T. Staib for helpful discussions on this subject and to a referee for pointing out an error in an earlier version of this paper.     

Global attractability and permanence for a new stage-structured delay impulsive ecosystem

In this paper, a new stage-structured delay ecosystem with impulsive effect is formulated and some dynamical properties of this system is investigated.By using comparison theorem and the stroboscopic technique, we prove the existence of the predator-extinction periodic solution of this system and obtain some sufficient conditions to guarantee the global attractivity of the prey-extinction periodic solution. In the final, we also obtain the permanence of this system. It should be pointed out that the new mathematical method used in this paper can also be applied to investigate such other ecosystems corresponding to both impulsive and delay differential equations.     

Markov skeleton process in PERT networks

In this article, we investigate Programming Evaluation and Review Technique networks with independently and generally distributed activity durations. For any path in this network, we select all the activities related to this path such that the completion time of the sub-network (only consisting of all the related activities) is equal to the completion time of this path. We use the elapsed time as the supplementary variables and model this sub-network as a Markov skeleton process, the state space is related to the sub-network structure. Then use the backward equation to compute the distribution of the sub-network's completion time, which is an important rule in project management and scheduling.     

RECURSIVE REPRODUCING KERNELS HILBERT SPACES USING THE THEORY OF POWER KERNELS

The main objective of this work is to decompose orthogonally the reproducing kernels Hilbert space using any conditionally positive definite kernels into smaller ones by introducing the theory of power kernels, and to show how to do this decomposition recursively. It may be used to split large interpolation problems into smaller ones with different kernels which are related to the original kernels. To reach this objective, we will reconstruct the reproducing kernels Hilbert space for the normalized and the extended kernels and give the recursive algorithm of this decomposition.     

Designs,Codes and Crypts—A Puzzle Altogether

In this paper we present an algebraic specificationof a puzzle commercially available on the toy market which isclosely related to the area of designs, codes and cryptography.The purpose of this article is to show the different ways ofapproaching the problem of solving this puzzle. An algebraicapproach for finding a solution is given. The seemingly unknowncombinatorial type of this puzzle and the lack of a general theoreticalbackground have stimulated the set-up of this paper to be presentedin this volume.     

连续型指数差分布

本文提出了一个连续型随机变量的概率分布:指数差分布。讨论了该分布的极值、拐点、数学期望和方差,推导了参数的矩估计公式,探讨了该分布与指数分布的关系,给出了该分布在药代动力学中的应用。     

模糊计划评审技术(F-PERT)中关键路径的规划解法

研究了模糊计划评审技术中关键路径的求解方法 .首先建立了模糊计划网络图中寻找关键路径的规划模型 ,指出该规划模型在模糊排序规则下可以转化为多目标线性规划问题 ,并给出了该类多目标线性规划问题的求解步骤 .最后的算例表明 ,文中提出的方法是切实可行的 .     

均值有界变差条件及其在Fourier分析中的应用

本文宣布了关于Fourier (三角)级数的系数数列单调性条件的一个最终推广.我们已经证明了该条件对正弦级数保持一致收敛性方面已不可作任何推广,一些Fourier分析中重要和有趣的经典定理也已经在此最终条件下重新建立.本文因而对长达90年的研究历史作了一个简要综述.这一系列论文中的第一篇原始论文公布在arXiv:math.CA/0611805 v1, November 27, 2006.     

一类虚拟寿命不完全维修模型的统计模拟分析

本文通过利用统计分析的方法分析了一类虚拟寿命不完全维修模型,在此类模型中,系统的报废时间由系统的虚拟寿命决定。由于在分析此类模型时,大多数情况下系统的运行时间之间相互不独立,直接导出相关的可靠性指标的计算公式比较困难,因此采用统计模拟的方法得出相关的可靠性指标。     

我国能源-环境-经济系统的区域间建模

本研究试图探讨用“自上而下”和“自下而上”相结合的建模方法,对我国二氧化硫和二氧化碳减排进行区域间建模.本研究以一个用于分析硫税的区域间波及影响、以及评价电力部门的脱硫技术的区域间可计算一般均衡模型为基础平台;从理论上探讨了如何对该模型进行扩展和改进.首先本研究对该模型的要点进行了阐述,强调了把能源技术模型融合在区域间可计算一般均衡模型中的建模方法.然后本研究对于实行环境税和排放权交易的环境经济效果进行了比较,用成本收益法分析了工业部门对减排技术的选择,并以前述模型为基础建立了区域间模型.本研究所提出的模型可以被用来从区域统筹的观点,对我国能源-环境-经济系统的可持续发展进行预测和分析.最后本研究提出应该从更新数据、研究环境政策和技术进步之间的关系等方面,进一步发展该模型.     

数字地震勘探中一种统计建模及求解方法

本文提出了在数字地震勘探技术使用的一种借助于首层折射滑行波特性，来提取表层厚度、速度信息的方法。本文中介绍了该提取方法得出的过程，使用的物理模型及假设，数学原理及近似解法等。本文企盼的是，这个得出过程的启迪示范作用。