非线性不等式约束最优化快速收敛的可行信赖域算法

In this paper,by combining the trust region technique with the generalized gradient projection.a new trust region algorithm with feasible iteration points is presented for nonlinear inequality constrained optimization,and its trust region is a general compact set containing the origion as an inteior point.No penalty function is used in the algorithm,and it is feasible descent .Under suitable assumptions,the algorithm is proved to possess global and strong convergence as well as superlinear and quadratic convergence.Some numerical results are reported.     

THE GLOBAL APPROXIMATION BY LEFT-BERNSTEIN-DURRMEYER QUASI-INTERPOLANTS IN Lp[0, 1]

In this paper,we will use the 2r-th Ditzian-Totik modulus of smoothness wp^2r(f,t)p to discuss the direct and inverse theorem of approximation by Left-Bernstein-Durrmeyer quasi-interpolants Mn^[2r-1]f for functions of the space Lp[0,1](1≤p≤ ∞)。     

评新书《组合优化导论》和《现代排序论》

对最优化有兴趣的读者可能会注意到，近来接连出版了两本关于组合最优化的新书，一本是2002年出版的《组合优化导论》(越民义著，浙江科学技术出版社出版，浙江省科技专著出版基金资助)，一本是2003年出版的《现代排序论》(唐国春、张峰、罗守成和刘丽丽著，上海     

A level set method for structural topology optimization with multi-constraints and multi-materials

Combining the vector level set model, the shape sensitivity analysis theory with the gradient projection technique, a level set method for topology optimization with multi-constraints and multi-materials is presented in this paper. The method implicitly describes structural material interfaces by the vector level set and achieves the optimal shape and topology through the continuous evolution of the material interfaces in the structure. In order to increase computational efficiency for a fast convergence, an appropriate nonlinear speed mapping is established in the tangential space of the active constraints. Meanwhile, in order to overcome the numerical instability of general topology optimization problems, the regularization with the mean curvature flow is utilized to maintain the interface smoothness during the optimization process. The numerical examples demonstrate that the approach possesses a good flexibility in handling topological changes and gives an interface representation in a high fidelity, compared with other methods based on explicit boundary variations in the literature. The project supported by the National Natural Science Foundation of China (59805001, 10332010) and Key Science and Technology Research Project of Ministry of Education of China (No.104060)     

包含FR方法的一类无约束极小化方法的全局收敛性

本文对包含Fletcher-Reeves共轭梯度法的一类无约束最优化方法的全局收敛性进行了研究．Fletcher-Reeves方法的某些性质在收敛性分析中起着重要的作用．我们以一种简单的方式证明了这类方法在一种Wolfe型非精确线搜索条件下对光滑的非凸函数具有下降性和全局收敛性．全局收敛性结果也被推广到了一种广义Wolfe型非精确线搜索．     

港口运输费用最优化的一种模型

考虑到港口运输量影响到路线的最优化设计 .作者采用动态规划的思想 ,提出了一种港口运输费用最优化的新模型 .     

箱子是在线到达的带核元变尺寸装箱问题

本文考虑了一类箱子在线到达的带核元变尺寸装箱问题．假定箱子的尺寸可以是不同的．箱子是在线到达的，仅当箱子到达后其尺寸才知道．给定一个带有核元的物件表，目标是要将表中元素装入到达的箱子中，使得所用的箱子总长最小．我们首先证明了该问题是强NP—Hard，其次分析了经典算法NF(D)和FF(D)的性能界，指出NF(D)和FF(D)算法的性能界可以任意大．最后我们给出了相应的修改算法MNF(D)和MFF(D)，证明了它们的性能界都是3，此界是紧的．     

位移约束下智能桁架的强度最优控制

针对智能桁架结构，提出了在考虑多点位移约束的情况下，使结构工作应力处于最佳状态的规划法最优控制模型。当结构位移约束起主要作用时，模型可在保证位移约束的前提下，同时尽可能提高结构的承载能力；当结构位移并不重要时，仍可用该模型来提高结构的承戴能力。对于复杂结构，为了提高控制效果，可以调整为了满足位移条件而需要的作动器数目及布置方案。文中给出了数值算例，说明该方法的调控能力。     

新区综合能源系统多目标最优化设计

经济性和碳排放的平衡是未来城市能源利用的主要方向。新城区开发需要先进的能源系统设计方法,以定量化计算不同设计方案下的经济性与碳排放。基于城市能源系统的主要特征,本文提出了一种新区综合能源系统多目标最优化设计方法。在需求侧,通过能耗指标分摊法预测负荷;在供应侧,利用超结构建模包含各种能源-技术组合,求解混合整数线性规划问题。本文以雄安新区启动区能源系统为案例进行多目标最优化设计,探讨了碳排放与成本之间的权衡取舍。     

FORMING MICHELL TRUSS IN THREE-DIMENSIONS BY FINITEELEMENTMETHOD

IntroductionTheMichell’s[1]theoryforoptimizingstructuraltopologyforstressconstraintsunderoneloadconditionplaysanimportantroleinstructuraloptimizationfield .TheoptimumstructuresbasedonsuchtheoryarecalledasMichelltruss,orleast_weighttruss.Subsequently ,thistheorydevelopedgreatlyinmanyaspects[2 - 8].ItisprovedthatMichelltrussisidenticalwiththeleast_weighttrussforcomplianceconstraints.TheMichelltrussesundersomeloadcasesweregainedbyanalyticalmethod[8- 10 ].Michelltrussisestablishedbasedonstrict…