基于集对分析的混合型多属性决策方法的研究

针对属性权重信息不完全且属性值为实数、区间数和模糊语言值相结合的混合型多属性决策问题,提出了一种基于集对分析的多属性决策方法.该方法所需计算量较少,方法简单,易于计算.最后通过实例验证了该方法的有效性和实用性.     

最优多期比例再保险策略的必要条件

研究最小化保险公司破产概率的最优多期比例再保险策略,给出了保险公司最小破产概率的一个递归表达式,证明了可用动态规划方法求解此类问题.在此基础上,我们推导出最优多期比例再保险策略的几个必要条件.     

Mortar element methods for parabolic problems

In this article a standard mortar finite element method and a mortar element method with Lagrange multiplier are used for spatial discretization of a class of parabolic initial‐boundary value problems. Optimal error estimates in L^∞(L²) and L^∞(H¹)‐norms for semidiscrete methods for both the cases are established. The key feature that we have adopted here is to introduce a modified elliptic projection. In the standard mortar element method, a completely discrete scheme using backward Euler scheme is discussed and optimal error estimates are derived. The results of numerical experiments support the theoretical results obtained in this article. © 2008 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 2008     

Backward Stochastic Riccati Equations and Infinite Horizon L-Q Optimal Control with Infinite Dimensional State Space and Random Coefficients

We study the Riccati equation arising in a class of quadratic optimal control problems with infinite dimensional stochastic differential state equation and infinite horizon cost functional. We allow the coefficients, both in the state equation and in the cost, to be random. In such a context backward stochastic Riccati equations are backward stochastic differential equations in the whole positive real axis that involve quadratic non-linearities and take values in a non-Hilbertian space. We prove existence of a minimal non-negative solution and, under additional assumptions, its uniqueness. We show that such a solution allows to perform the synthesis of the optimal control and investigate its attractivity properties. Finally the case where the coefficients are stationary is addressed and an example concerning a controlled wave equation in random media is proposed.     

Optimal superconvergent one step quadratic spline collocation methods

We formulate new optimal quadratic spline collocation methods for the solution of various elliptic boundary value problems in the unit square. These methods are constructed so that the collocation equations can be solved using a matrix decomposition algorithm. The results of numerical experiments exhibit the expected optimal global accuracy as well as superconvergence phenomena. AMS subject classification (2000)  65N35, 65N22     

一类具有年龄结构的竞争系统的最优输入率控制

研究一类具有年龄结构的竞争系统的最优输入率控制问题．利用特征线法给出了解对控制变量的连续依赖性定理，利用法锥概念和共轭方程导出了最优性条件．所得结果可以为非线性的竞争系统最优控制问题提供必要的理论基础．     

黄连素制剂中盐酸小檗碱含量测定的一种新方法

提出了用间接原子吸收法测定黄连素制剂中盐酸小檗碱含量的新方法。     

煤矿电钻电动机的优化设计

采用非线性规划方法对矿用电钻电动机的优化设计进行了较为深入的研究。利用“惩罚函数”法（ＳＵＭＴ）进行了数学模型的处理，采用并改进了Ｈｏｏｋｅ－Ｊｅｅｖｅｓ的模矢搜索法及Ｐｏｗｅｌｌ的共轭方向法，还提出一种随机搜索法。进行了大量的优化计算及分析研究，并给出了ＭＺ－１２Ａ电钻电动机的优化实例，结果在外型尺寸不变的情况下，功率由１．２ｋＷ提高到１．５ｋＷ，功率提高２５％，文中对各种优化方法进行了分析和比     

含SDG对的费米子动力学对称性模型

在含ＳＤＧ对的费米子动力学对称性模型的框架下，对原子核的十六极振动自由度给出了一种新的描述，并计算了元素１３２Ｔｅ的低激发能谱和Ｅ（２）跃迁几率计算结果表明，十六极振动自由度对原子核集体运动有重要的影响