作业顺序与负荷均衡同时决策的动态作业计划模式

本文考察了在作业车间环境下现有作业排序方法所存在的问题，提出了在决定作业优先顺序的同时，做好设备负荷均衡的动态作业计划决策模式。该模式选择材料供应、订货的重要性、关键比、完工不确定性和经济性等５项参量作为评价作业优先级别和配置设备能力的指标，并采用决策树方法来判定作业的优先顺序和相应的能力配置措施。最后通过与车间实有能力进行平衡达到可行性。这样制定的计划可以实现生产绩效的总体优化。     

系统可靠度分配的最优决策

运用模糊数学原理和多阶段决策算子法,提出了两种适用的系统可靠度分配的新方法．     

中国科技发展资金分配模型

本文研究了科技发展的环境、条件与国家创新系统的动态作用机理，运用系统动力学对此进行较科学的描述与仿真试验，得出了适合我国国情的科技投入规模与结构及相应支撑条件的量化投资政策。     

动态对策的控制策略

研究离散时间动态（多阶段）对策的控制问题，提出闭环控制策略—Ｎａｓｈ合作策略的概念和设计方法。该策略以Ｎａｓｈ协商解为基础，能诱导对策双方在对策的每个阶段实现Ｎａｓｈ协商解。分析了策略的最优性，并以线性二次型动态对策问题作了实例分析。     

非均衡模型的可解性研究

本文研究了多市场非均衡模型（ＭＤＥＭ）的可解性问题，给出微观ＭＤＥＭ可解性的一个充要条件；推广了Ｉｔｏ［１］的充分条件；对具有Ｂｕｒｋｅｔｔ双曲线聚合［２］和Ｌａｍｂｅｒｔ指数聚合［３］两类非线性形式的宏观ＭＤＥＭ，分别给出其可解性的一个充分条件，并探讨ＭＤＥＭ中一类线性溢出效应的微观基础，Ｉｔｏ［１］所分析的双市场情形是其特例．     

班轮航线配船模型的分析与改进

结合航运生产实际，对文献［１］中的班轮航线配船模型提出了改进的意见，并给出了新模型的求解方法及收敛性证明     

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.     

一类新型的指派问题的多目标模型

针对传统的指派问题在实际应用中的局限性,提出了一类新型的指派问题,基于其特殊性建立了相应的多目标模型,并通过化为单目标问题而获得的有效解,同时,模型学考虑了给被分配者有多次选择机会的情形,最后给出实例分析。     

部门动态投资系数的求取方法探讨

本文从理论和实践两个方面对动态投入产出法中动态投资的概念、投资系数的求取等进行了研究,提出了部门动态投资系数的求取方法,即一次性投资与多次性投资的综合方法。在此基础上,还给出了投资系数的修正方法,分析了影响投资系数求取的因素。最后,给出了投资系数求取过程中的误差分析方法。     

OUTPUT REGULATION PROBLEM FOR A CLASS OF SISO INFINITE DIMENSIONAL SYSTEMS VIA A FINITE DIMENSIONAL DYNAMIC CONTROL

This paper deals with the output regulation problem for a class of SISO infinite dimensional systems with an uncertain exosystem. For these systems, a concept of relative degree is firstly introduced and used to construct a transformation which leads to the canonical form of output feedback systems. Then, based on this canonical form, by means of an internal model and a recursive adaptive control, the authors obtain an adaptive regulator which solves the problem. It should be pointed out that the proposed regulator is finite dimensional while it is usually infinite dimensional in existing literatures.     

运输问题最小运费合理分摊的对策模型及解法

本文借助于合作多人对策的思想建立起了运输问题中最小运费合理分摊的数学模型，同时给出了建立理想分摊向量和特征函数的一种方法，并提供了一种 简便、有效的模型解法，比较有效地解决了运输问题中最小运费人合理分摊问题，为最优运输方案的实际实施提供了前提和保障。     

系统结构模型分部的底层要素法

本文从系统的底层要素出发，提出并证明了底层要素存在性、底层要素后果集并集的完全性以及它们在同一部分的充分必要条件，由此导出了系统结构模型分部的算法，实际应用进一步说明了这一方法的有效性。     

利润最大化成本分摊方法研究

首先研究了企业利润与其产品的成本、间接固定成本及价格的关系．在此基础上建立了企业在采用成本定价法时，以获得最大利润为目标的间接固定成本分摊的优化模型，证明了成本分摊的利润性能函数是一个凹函数，由此给出了一种利润最大化的间接固定成本的优化分配方法     

A MODEL FOR THE“MAXIMUM CAPACITY” OF ROOMS OR OF SPACE

A discrete optimum mathematical model to derive the "maximum capacity" of people in a roomor in a space used for public gatherings is developed. There are two outcomes in the model. One isfocused on whether the person farthest from exits can escape from the room. The other concentrateson the evacuation time of all the people in the room. According to the results of the two outcomes, amore reasonable "maximum capacity" can be worked out in a simple way.     

模型选择准则的渐近性质与选择检验

模型选择分为绝对与相对两类，本文针对实用性好但理论上不甚完善的相对选择问题，归纳了其建立准则的一般性途径，证明了它的渐近统计特性，并由此提出了“选择检验”的新概念及其表达。     

QUANTUM THEORY FOR THE BINOMIAL MODEL IN FINANCE THEORY

In this paper, a quantum model for the binomial market in finance is proposed. We show that its risk-neutral world exhibits an intriguing structure as a disk in the unit ball of R3, whose radius is a function of the risk-free interest rate with two thresholds which prevent arbitrage opportunities from this quantum market. Furthermore, from the quantum mechanical point of view we re-deduce the Cox-Ross-Rubinstein binomial option pricing formula by considering Maxwell-Boltzmann statistics of the system of N distinguishable particles.     

QUALITATIVE ANALYSIS FOR A THIRD-ORDER DIFFERENTIAL EQUATION IN A MODEL OF CHEMICAL SYSTEMS

In this paper a mathematical model of chemical systems is investigated.We present the conditions for the existence and local stability of the steady statesand the periodic solution of the Hopf type.Specifically,we show by using an ana-lytical method that there may exist two or four Hopf bifurcation points separatedat a finite distance from each other;at the same time,a technique for studying theHopf bifurcation value is given.     

数据包络模型的随机性研究

利用最小绝对误差估计和机会约束规划，本文研究了数据包络模型中的随机性问题，建立了一系列线性与非线性规划的数据包络模型。并对模型解的存在和鲁棒性作了讨论。     

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.     

OPTIMAL ADAPTIVE CONTROL WITH CONSTRAINT FOR ARMAX MODEL

For the ARMAX system with unknown coefficients the optimal adaptive control isdesigned so that the following requirements are met simultaneously:1)the transfer function from areference signal to the system output in the closed loop equals a prescribed rational function;2)under the constraint mentioned in 1)a quadratic loss function is minimized;3)the parameterestimate is strongly consistent.