利用二次贝齐尔函数的一维优化算法

本文利用贝齐尔函数良好的保型性质,将它作为拟合函数,构造了一个一维优化算法。数值实验表明,对于高度非线性的目标函数,新算法具有很强的适应性,比同类算法更有效。     

随机Benjamin-Ono 方程初值问题及对河口区域生物分布的应用

该文对具梯度耦合噪声的随机Benjamin-Ono 方程（以下简记为B-O方程）的初值问题导出了解得积分表达式，并将它应用于河口区域生物分布问题，得到了一维空间的分布表达式。     

欧氏空间上的随机覆盖及其应用

运用Borel—Cantelli引理，改进并推广了Jean-Pierre Kahane在单位圆周上关于随机覆盖的结果，得到了在高维欧氏空间上关于随机覆盖的类似结果。且运用这些结果研究了多指标复Fourier-Redemacher级数与某些函数空间的关系，得到了多指标复Fourier—Redemacher级数几乎处处属于L^∞及几乎处处属于C的等价性。     

空间弧面凸轮数控加工程序的计算机辅助编制

介绍了空间弧面凸轮数控加工的方法和数控加工程序的计算机辅助编程方法 ,并给出了辅助编程后模拟显示结果     

非线性随机规划问题最优值与最优解的可测性

利用对偶理论与可测集值映射理论等,本文首次证明了一般非线性随机规划问题最优值和最优解的可测性,从而为研究它们的概率分布、矩等分布问题以及一般随机规划问题的实际求解奠定了理论基础.     

油气资源勘探与开发的不确定性分析及最优策略

基于油气资源勘探与开发的特点,建立了油气藏勘探发现率及储量模型,并在油气价格服从几何布朗运动条件下,以油气开采收益最大化为目标,建立了油气资源勘探与开发的随机最优控制模型,然后运用动态规划方法推导了在状态方程有几何布朗运动、带随机泊松跳过程条件下,值函数所满足的HJB方程,并对最优策略的求解进行了一些讨论.     

求代数方程组数值解的智能新方法

本文针对解代数方程组计算复杂和非线性方程组的解难以得到问题，提出了一种适合于不同类型方程组的通用算法．模拟生物进化过程，利用仅以变异作为唯一基因操作的EP方法来求方程组的最优解或次最优解．首先建立智能化的通用方程组，再利用改进的EP方法(在自适应方法中引入小生境思想)来求解方程组．算法既简单又具有通用性，最后举例说明本方法的有效性．     

减少化验次数的一个优化模型

依据数学理论证明在一定条件下，可以减少化验次数；并给出了选择方法；建立了一个减少化验次数的优化模型。     

A ROBUST DECOMPOSITION OF LINEAR PROGRAMMING USING A GOAL-PARTITIONING METHOD

The Dantzig/Wolfe linear programming decomposition algorithm has had important economicinterpretations as well as a widespread impact on solving large scale linear programming problem.Inthis paper we consider a similar underlying structure,where however there is only one couplinginequality or equation.With this simplification,we demonstrate how to achieve an equitable partitionof the overall coupling resource to individual subproblem constraints through a simple iterationprocedure which appears to be very efficient.     

LOGISTICS SCHEDULING： ANALYSIS OFTWO-STAGE PROBLEMS

This paper studies the coordination effects between stages for scheduling problems where decision-making is a two-stage process. Two stages are considered as one system. The system can be a supply chain that links two stages, one stage representing a manufacturer; and the other, a distributor It also can represent a single manufacturer, while each stage represents a different department responsible for a part of operations. A problem that jointly considers both stages in order to achieve ideal overall system performance is defined as a system problem. In practice, at times, it might not be feasible for the two stages to make coordinated decisions due to (i) the lack of channels that allow decision makers at the two stages to cooperate, and/or (ii) the optimal solution to the system problem is too difficult (or costly) to achieve.Two practical approaches are applied to solve a variant of two-stage logistic scheduling problems. The Forward Approach is defined as a solution procedure by which the first sta