ASYMPTOTIC BEHAVIOR OF THE ESTIMATES OF HIGHER ORDER SPECTRA UNDER TRUNCATED WINDOW

ＡＳＹＭＰＴＯＴＩＣＢＥＨＡＶＩＯＲＯＦＴＨＥＥＳＴＩＭＡＴＥＳＯＦＨＩＧＨＥＲＯＲＤＥＲＳＰＥＣＴＲＡＵＮＤＥＲＴＲＵＮＣＡＴＥＤＷＩＮＤＯＷＹＵＤａｎ（ＩｎｓｔｉｔｕｔｅｏｆＳｙｓｔｅｍｓＳｃｉｅｎｃｅ，ＡｃａｄｅｍｉａＳｉｎｉｃａ，Ｂｅｉｊｉｎ...     

关于DEA有效性在数据变换下的不变性

对数据变换下ＤＥＡ有效性问题进行探讨，给出了ＤＥＡ有效性在一类严格保序函数变换下的一些不变性质，证明了生产可能集在序同构下保持有效生产前沿面的等价性。     

OSCILLATION OF THE SOLUTIONS OF IMPULSIVE HYPERBOLIC EQUATIONS WITH DELAY

Abstract. Oscillation properties of the solutions of impulsive hyperbolic equations with delay are investigated via the method of differential inequalities.     

THE RANKINGS OF CONTROL SYSTEMS AND APPLICATIONS

The notion of ranking was initiated into control theory by Glad a few yearsago. In this paper we mainly discuss one kind of rankings and study its invarianceproperties. This kind of rankings is closely related to the structure algorithm. The relationsbetween invariants of this kind of rankings and the invariants given by other studies, e.g.the invertibility indices of a system and so on, are examined. As applications of rankings,we deal with some well-known problems in "ranking technique". In this paper we mainlyintroduce a new method rather than solve new problems.     

ON THE CONSTRUCTION OF GROEBNER BASIS OF A POLYNOMIAL IDEAL BASED ON RIQUIER-JANET THEORY

As a consequence of a previons study of algebraic differential geometry(see [WU1]) theremay be associated to certain special kinds of differential ideals some well-behaved basis enjoyingsome well-behaved properties.If the differential ideals are further specialized so that theycorrespond to ordinary polynomial ideals then such a well-behaved basis will become the usualGroebner basis of the polynomial ideals while the latter is not known for differential ideals.     

带有滞留时间的流水作业计划排序方法研究

本文对带有滞留时间的流水作业车间以零件加工全长最小为目标的排序问题进行了分析和研究。分析证明了对于两台机床带有滞留时间的问题存在有效的多项式算法。本文还给出了三台以上机床带有滞留时间排序问题的启发式算法。     

层次分析中判断矩阵排序的一种新方法

提出一种新的广义最小偏差法，给出了它的标准形，并对此方法的性质进行了研究．理论分析和仿真结果表明：应用广义最小偏差法对判断矩阵进行排序不但可行而且有效．     

ON THE COMPLETION TIME AND THE INTERRUPTION TIME OF A JOB PROCESSED ON AN UNRELIABLE MACHINE

This paper considers the completion time and the interruption time of a job processed on an unreliable machine. By using the general theory of stochastic orderings, we obtain the closure properties of the distribution of the completion time and the interruption time on L^ and PH life distribution classes. We get an exponential bound for the tail probability of the interruption time.     

人口模型中的分岔现象

在非线性动态系统中可能出现分岔现象,分岔理论为我们研究社会经济系统中的某些异常现象提供了一种新方法。本文研究了人口模型的分岔现象,以此作为示例,体现了用分岔理论研究社会经济系统的过程与步骤。     

多目标线性规划模糊决策的加权集成方法

在已有多目标线性规划问题研究的基础上，探讨了加权算术平均算子和加权极大极小算子的性质以及在目标可补偿性的各种情况下求解的方法，利用这两种加权算子，不仅可以保证得到有效解而且随着权重的变化可以得到全部的有效解，在此基础上提出了改进的两阶段法。所提方法在实际决策过程中不仅具有可靠理论基础，而且也给决策者提供了更多的选择余地。     

转换开关完全可靠的贮备系统的模糊可靠性

本文将普通可靠性推广到模-精型模糊可靠性,并求出了贮备系统的各项模糊可靠性指标。     

部分高铁氧体H面波导Y结环行器的电磁场理论分析

本文对部分高铁氧体H面波导Y结环行器进行了严格的三维场理论分析,经数值计算,得到了许多有用的设计数据、曲线和结论,在理论分析的基础上还进行了实验,实验结果证明了理论分析的正确性。     

寿命型产品可靠性的管理工程

本文采用系统工程方法,为寿命型产品的可靠性管理建立了一个连续和离散模型,以用来预测和评估可靠性。供实现产品科学管理和小子样系统可靠性研究之用。     

THE GEOMETRIC PROPERTIES OF THE SET OF LYAPUNOV MATRICES AND THE STABILITY OF THE MATRIX FAMILY

Given a stable matrix A∈C~(n×n),there are some simple simultaneous inequalities whosecoefficients rely on A.For (?)P~H=P∈C~(n×n),if P satisfies these inequlities,then PA A~HP<0.As anapplication of the main results,the stability of the matrix family is treated.Besides,some geometricproperties of the set of all the Lyapunov matrices of a given stable matrix are considered.     

生产率管理系统模型及实践意义

提高生产率是工业工程追求的永无止境的目标。任何生产组织，要保证较好地实现这一目标，必须实用有效的生产率管理，建立促进生产率提高的能动的运行机制。本文着重讨论生产率管理概念、管理系统模型及运行过程，分析我国推行生产率管理的实践意义。     

THE POSITIVITY OF THE CHERN CHARACTERS OF A HYPERSURFACE WITH SINGULARITIES

The Chern characters of a hypersurface with singularities are appropriatecombinations of Ehresmann characters of this hypersurface.The Chern characters are usualChern numbers when the hypersurface is smooth.Some sorts of inequalities for these Cherncharacters of an n-dimensional hypersurface are derived.     

CONVERGENCY OF THE MAXIMUM OF PERIODOGRAM

ＣＯＮＶＥＲＧＥＮＣＹＯＦＴＨＥＭＡＸＩＭＵＭＯＦＰＥＲＩＯＤＯＧＲＡＭ￥ＨＥＳｈｕｙｕａｎ（ＤｅｐａｒｔｍｅｎｔｏｆＰｒｏｂａｂｉｌｉｔｙａｎｄＳｔａｔｉｓｔｉｃｓ，ＰｅｋｉｎｇＵｎｉｖｅｒｓｉｔｙ，Ｂｅｉｊｉｎｇ１００８７１，Ｃｈｉｎａ）Ａｂｓｔ...     

区间迭代法的“最优”收敛性分析

本文提出了区间迭代法的“最优”收敛性概念,对Krawczyk类区间迭代法的“最优”收敛性进行了分析,证明了Krawczyk—Moore算法是具有“最优”收敛性的区间迭代法。最后,还给出了一个关于Krawczyk类区间迭代法收敛的必要条件。     

THE EQUILIBRIA OF THE SIZE STRUCTURED POPULATION MODEL

In this paper the existence and stability of the positive equilibrium of the size-structured population model are proved by Rabinowitz‘s theorem and the local linearization method.The result here shows that near the bifurcation point where a branch of positive equilibria appears,the stability of the positive equilibrium on the branch is dcpendent on the direction of the bifurcation.The argument for the model of age-structured population is generalized in this paper.     

BLOW-UP OF SOLUTIONS OF THE IGNITION MODEL

By use of maximum principle and auxiliary function method, the paper dis-cusses the blow-up sets of the solutions of the ignition model in two cases. It is obtained that the solutions blow up in single point in nonsymmetric case and that the solutions blow up totally or at a couple of points in symmetric case.