Mathematical programs with equilibrium constraints is a kind of specail opti - mzation problem , which besides equality constraints and inequality constraints it also contain complementarity constraints 带有均衡约束的数学规划问题( mathematicalprogramswithequilibriumconstrains ,缩写为mpec )是一类特殊的最优化问题,它的约束函数除了一般的等式和不等式约束之外,还包含有互补约束条件
Introduction of variational calculus and its application in the engineering optimal design , constrained / unconstrained optimal design problems , discrete optimal control and mathematical programming , practical examples of optimum design 先修课程:负责教授同意。变分微积分与最佳化之关系及其在工程最佳化上之应用、端点条件、不连续最佳化程序、无限制及有限制条件最佳化问题、直接法及实际最佳化设计应用等。
Firstly , based on the classical theorem of limit analysis , the von mises yielding condition and finite element method technique , two common mathematical programs for the determination of the lower and upper bounds are built and solved by an iteration algorithm directly 首先,基于塑性极限载荷分析中的上下限定理和有限元离散技术,推导和给出了一般结构极限载荷上下限计算的数学规划的普遍格式和相应的积分数值计算公式。
The status of the research for non - entirety analysis of arch dam and joint models commonly used were reviewed . the fem analysis for contact problem , i . e . , iterative method , contact constraints method and mathematical programming method , were summarized . 2 评述了拱坝结构非整体性分析研究的现状以及拱坝结构分析中常用的接缝模型;进一步从直接迭代法、接触约束法和数学规划法三个方面综述了基于有限单元法的接触问题分析方法。
The travelling salesman problem ( tsp ) is always one of the most interesting topic in combinatorial majorizationo in the middle seventies , the appearance of the complexity theory of calculation and the development of mathematical programming have greatly improved the advancement of combinatorial majorization Tsp问题一直是组合优化中极富活力的研究课题之一。七十年代中期,计算复杂性理论的出现和数学规划的发展大大推动了组合优化的前进。
Process system optimization ( pso ) has become a major technology that helps companies in process industry to remain competitive . numerical derivatives play an important role in mathematical programming , which is the core area in pso 随着计算机技术的飞速发展和企业自动化程度的不断提高,过程系统优化已经从纯学术的理论发展成为能对工业起到巨大推动作用的技术力量,成为过程工业企业保持竞争力、在激烈的市场竞争中立于不败之地的主要技术手段。
In this thesis , we discuss mathematical programs with nonlinear complementarity constraints . because of the bad property of the equilibrium constraints , it is very difficult to study and solve it by the well - developed theory and methods for a standard smoothing nonlinear problems ( ssnp ) 本学位论文讨论的是带非线性互补约束规划问题,由于这类问题的约束条件的性质很差,直接使用求解标准的光滑非线性约束优化的方法和技术(如sqp )来求解,存在着一定的困难
In recent years , the theory and algorithm for semidefinite programming have developed greatly , and its most important applications are found in combinatorial optimization , system engineering and electrical engineering . semidefinite programming is a new and important research field in mathematical programming 近年来其理论和算法取得了很大的进展,并且在组合优化、系统工程和电子工程等领域得到广泛的应用,已经成为数学规划领域中一个新的活跃的研究方向
Furthermore , the comparison is made between eso and mathematical programming . in continuum structure optimization , eso is applied for topology optimization under the constraints of stress , displacement and frequency . in addition , eso is applied to the optimization for shells reinforced by ribs 在连续体结构优化方面,讨论了几类约束下基于渐进优化方法的连续体拓扑优化,这些约束分别是应力约束,位移约束以及频率约束;利用渐进优化方法,进行了加筋板壳结构的形状优化研究。
Having developed for half an century , the conventional optimization algorithms which are based on the operational research theory and some mathematical programming tools come into mature . such algorithms have been widely used in many fields due to their high efficiency and robustness . however , they usually require the optimized functions to be continuous even high order differentiable 这些在运筹学( operationalresearch )和数学规划工具( mathematicalprogramming )基础上形成的最优化算法,具有理论完备、算法效率高、稳定性好等优点,因而在许多需要进行优化计算的场合被广泛的使用。