三元行偶的优化理论及方法

引入行偶及其亏值的概念，证明了行偶亏值定理，在此基础上解决了把６个平行工序调整为３对顺序对的最优排序方法     

CONVERGENCE IN THE CHEMOSTAT MODEL WITH DELAYED RESPONSE IN GROWTH

1.IntroductionThechemostatisalaboratoryapparatususedforcontinuouscultureofmicroorganisms.Itcanbeusedtostudycompetitionbetweendifferentpopulationsofmicroorganismsforagrowthlimitingsubstrate,andhastheadvantagethatcertainofthebiologicalparameterspresumedtoinfluencecompetitiveoutcomecanbecontrolledbytheeXPerimellter.TheglobalanalysesofthechemostatmodelwithMichaelis--MentenkineticsfornutrielltuptakeweregivenbyHsu,HubbedandWaltmanin[2]andHsuin[31.Undertheassumptionthatalltheparametersaredistinct…     

层次分析法中区间判断的凸锥模型

用全新凸锥模型讨论层次分析法中常规点判断以及区间判断的权重向量的特性与算法，并对它们给出统一的几何解释．本文提出的交锥与包络锥方法是估算区间判断下权重向量可行域的一种合理而又实用的算法     

OPTIMAL RATE OF CONVERGENCE FOR ESTIMATORS IN THE NONPARAMETRIC MEDIAN MODEL

Let(Y,X)be a random vector with its value in R~1×R~d,d(?)1.Let(?)be the collection of real valued functions θ(x) on R~d which is p times differ-entiable at x=0 and p-1 times differentiable on an open neighborhood U ofthe origin of R~d.The conditional distribution of Y is assumed to be of the formof f(y|x,θ(x))dy where θ(x)∈(?)is called the parameter of the family.(Y,X)iscalled a nonparametric median model if furthermore the conditional median of Ygiven X=x is θ(x).In this paper,the optimal rate of convergence for estimatorsof T(θ)=θ(0)is discussed.Under certain conditions,it is proved that for thenonparametric median model the optimal rate of convergence is r=p/(2p+d).A sequence of estimators,which is asymptotically normal with the optimal rate ofcovergence,is constructed.     

ASSESSMENT OF LOCAL INFLUENCE FOR F-TEST IN LINEAR REGRESSION MODEL

1.IntroductionTheaimofthediagnosticsandinfluenceanalysisistoidentifytheoutliersorinfluelltialobservationsthatsubstantiallyaffecttheparameterestimatesandstatisticalinference.Therelatedworkthathasreceivedconsiderableattentioninlinearregressionmodelistheinfluenceontheregressioncoefficients(see[l--4]).Theinfluencefortheotheraspectsoflinearregressionmodelsuchasconfidenceregionshasalsobeenconsideredby[5].However,theinfluenceonFiestreceivedlessattentionasweknowtheF-testisverysensitivetotheinfluentia…     

CONFIDENCE LOWER LIMITS FOR RESPONSE PROBABILITIES UNDER THE LOGISTIC RESPONSE MODEL

The lower confidence limits for response probabilities based on binary response data under the logistic response model are considered by saddlepoint approach. The high order approximation to the conditional distribution of a statistic for an interested parameter and then the lower confidence limits of response probabilities are derived. A simulation comparing these lower confidence limits with those obtained from the asymptotic normality is conducted. The proposed approximation is applied to two real data sets. Numerical results show that the saddlepoint approximations are much more accurate than the asymptotic normality approximations, especially for the cases of small or moderate sample sizes.     

A MATHEMATICAL PROGRAMMING MODEL FOR THE COEXISTENCE OF COMPETITIONS AND COOPERATIONS PROBLEMS

We study in this paper a mathematical programming model for the coexistence of competitions and cooperations problems. We introduce a new solution concept, s-optimal solution for the problem, which always exists under compact and continuous conditions. It is shown that an s-optimal solution can be obtained by solving a nonlinear programming problem. Some examples are given to explain how to compute an s-optimal solution.     

实现冠心病普查系统GISCAD的进化模型

一般说来,专家系统的开发是一个知识获取的过程。本文首先介绍了我们开发的一个冠心病普查系统,并讨论了知识获取和系统进化等问题,说明了用于开发冠心病普查系统的进化模型。     

THE ASYMPTOTICALLY OPTIMAL EMPIRICAL BAYES ESTIMATION IN ONE WAY ANOVA MODEL

1.IntroductionSincetheempiricalBayes(EB)approachtoastatisticaldecisionproblemwasfirstintroducedbyR.bbins[1'21?ithasreceivedmuchattentionintheliterature.Forlinearmodel,Singh[3]studiedtheEBestimationproblemofregressioncoefficientsinamultiplelinearregressionmodelunderknownerror-variance.Wei[4]consideredtheEBtestproblemforthesamemodel.ZhangandWeilsl,WeiandZhang[6]extendedSingh'sworktothecaseofunknownerror-variance,theydiscussedtheasymptoticoptimalityandconvergenceratesfortheestimationofregre…     

用于非直接对抗性体育比赛的编排算法

本文以非直接对抗性体育比赛的“最佳编排法”为基础,针对“最佳编排法”中没有考虑到的缺项现象设计了一种编排算法。该算法以偶图匹配、回溯技术为数学工具。     

A STUDY ON THE CHAOS MODEL OF LIQUIDITY IN STOCK MARKET

For a Stock Market, the critical problem is the maintenance of its liquidity. Market liquidity can be described in various ways, in particular, in terms of the bid/offer spread and the market depth. Model of market liquidity dynamics has been proposed in Schmidt, A.B.' literate. In our study, we improve his model. On one hand, we think that trading volume is determined by the total number of traders, as well as the relations between the numbers of buyers and sellers, while the model of Schmidt only considers the first, item. On the other hand, Schmidt assumes that the number of "newcomers" in the market is in proportion to the current number of trades. However, we all know that the continual rise or fall of the price will also attract more buyers or sellers, that, is, "newcomers", into the market, which he has not taken for granted. We also prove it, to be a chaos model through analysis of Lyapunov exponent. On the assumption that price variation can be neglected, we discuss the conditions in which chao     

ON THE SMALLEST POSSIBLE ASYMPTOTICALLY EFFICIENT VARIANCE IN SEMIPARAMETRIC MODELS

ＯＮＴＨＥＳＭＡＬＬＥＳＴＰＯＳＳＩＢＬＥＡＳＹＭＰＴＯＴＩＣＡＬＬＹＥＦＦＩＣＩＥＮＴＶＡＲＩＡＮＣＥＩＮＳＥＭＩＰＡＲＡＭＥＴＲＩＣＭＯＤＥＬＳ￥ＬＩＡＮＧＨｕａ（ＩｎｓｔｉｔｕｔｅＯｆＳｙｓｔｅｍｓＳｃｉｅｎｃｅ，ＡｃａｄｅｍｉａＳｉｎｉｃａ，...     

ON CONVERGENCE AND RATE OF CONVERGENCE OF ALGORITHMS IN THE MOVER－STAYER MODEL

ＯＮＣＯＮＶＥＲＧＥＮＣＥＡＮＤＲＡＴＥＯＦＣＯＮＶＥＲＧＥＮＣＥＯＦＡＬＧＯＲＩＴＨＭＳＩＮＴＨＥＭＯＶＥＲ－ＳＴＡＹＥＲＭＯＤＥＬＷＡＮＧＤｏｎｇｑｉａｎ；Ｌａｗｏｋｏ，Ｃ．Ｒ．Ｏ．（ＤｅｐａｒｔｍｅｎｔｏｆＳｔａｔｉｓｔｉｃｓ，ＭａｓｓｅｙＵｎ...     

PERSPECTIVES ON URBAN WATER INFRASTRUCTURE IN CHINA FOR THE 21~(ST) CENTURY: SDMUWEIC MODEL

Based on system dynamics approach, SDMUWEIC model is developed in order to evaluate future dynamics of urban water infrastructure development in China. Firstly, this paper presents the basic structure and characteristics of the model, focusing on water infrastructure's dynamic relationships with population increase, economic development, water resources shortage and water conservation practices. Secondly, model veracity and robustness tests based on behavior reproduction and uncertainty analyses are illustrated. Thirdly, based on the model, future patterns of China's urban water infrastructure investment requirements are simulated, and effectiveness of two different policy scenarios are evaluated. Finally, conclusions and policy implications are drawn, allowing insights into China's sustainable water infrastructure policies and managements.     

THE TRANSITION PROBABILITY MATRIX OF A MARKOV CHAIN MODEL IN AN ATM NETWORK

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.     

SOME NEW RESULTS ON THE CONFIDENCE LIMITS FOR RELIABILITY PARAMETERS IN THE CASE OF NO FAILURES

1.IntroductionDenotethelifelengthofanyitemofsomekindofproductbyX.ThedistributionfunctionofXisF(t)(F(0)=0).Asiswellknown,themostimportantreliabilitypametersare:(1)R(t)=1--F(t)(reliatiility);(2)tR=tR(F)=sup{t:R(t)2R}(reliablespan);(3)M=M(F)=/ootdF(t)(averagelife).]0Inreliabilityengineeringoneofthemostimportanttasksistoestimatethesereliabilityparameters,especiallytogivegoodlowerconfidencelimitsforthem.Whenitemsofsuchaproductareputintoareliabilitytestitoftenhappensthatnofailureismet.Example…     

高级导引头技术发展现状及动向

本文是关于精确制导战术导弹和美国SDI计划中高级红外、毫米波和微波导引头(寻的器)最新发展现状的综述。文中给出了关于SDI计划寻的器技术最新进展的评述,论述了高级红外、毫米波和微波导引头的发展动向。     

在信号处理系统中选取A/D变换器的准则

本文从抽样定理和量化定理出发,导出了在信号处理系统中选A/D变换器的准则,该准则在工程上用处很大。     

A PRACTICAL METHOD FOR IMPROVING CONSISTENCY OF JUDGEMENT MATRIX IN THE AHP

In this paper, an approach to improving consistency of judgement matrix in the Analytic Hierarchy Process (AHP) is presented, which utilizes the eigenvector to revise a pair of entries of judgement matrix each time. By using this method, any judgement matrix with a large C.R. can be modified to a matrix which can both tally with the consistency requirement and reserve the most information that the original matrix contains. An algorithm to derive a judgement matrix with acceptable consistency (i.e., C.R. < 0.1) and two criteria of evaluating modificatory effectiveness are also given.     

THE CRITERIA OF ULTIMATE BOUNDEDNESS FOR NONAUTONOMOUS DIFFUSIVE LOTKA-VOLTERRA SYSTEMS IN TWO HETEROGENEOUS PATCHES

1 Introduction and PreliminariesSince the interrelations between the orgachms and the environment seem to be essentialto the system's stabilityll], the effect of diction on the possibility of species coechtence in anecological community has been an haportat subjeCt in population biology. EXcept for someexamples known as ~ive instability or diffusion-induced instability especially in aquaticsystems (see [2]), a diffusion process generally tends to promote stability in ecological systems.Numero…