Optimization Techniques for Problems Arising in Design and Other Engineering Applications

小行星9313286 数值优化技术在设计中的广泛应用受到以下因素的阻碍：（i）难以以忠实的方式将实际工程设计问题转化为任何类型的严格数学优化问题，（ii）经典优化工具不能有效地考虑在设计环境中出现的优化问题的许多独特特征，以及（iii）软件工具的不可用性，该软件工具向设计者提供支持这些能力的强大的以及适宜的环境。先前的研究开发了一种基于交互式优化的设计方法，该方法可适应大多数设计问题的固有权衡驱动特性。 这包括第一优化算法的开发、实施和测试，这些算法实现了超线性收敛速度，同时强制所有连续迭代的可行性（在几个工程背景下的一个关键属性），以及开发、实施和测试了涉及连续约束的问题的扩展，例如控制系统的频率或时间响应的约束。 同时开发了一个基于窗口的分布式计算环境，用于交互式探索优化设计应用程序（控制台）中出现的权衡。 研究将集中于：（1）开发和分析新方案，以提高可行迭代算法的效率，特别注意具有大量约束条件的问题;（2）生产这些方案的高质量实施和广泛测试;（3）进一步开发基于交互式优化的系统（控制台）。 数值优化几乎在每一个工程活动中使用。 现有的方法和软件往往不够充分，或者技术并不总是与现实情况相关。 该项目满足了这一需求。 特别注意将P援助的问题，如有效地处理大量的不等式约束的问题，或涉及功能规范的问题。 正在进行的研究继续作出重大的教育和工业贡献。 ***

9313286 Tits Generalized use of numerical optimization techniques in design has been hindered by (i) the difficulty to translate in a faithful manner the actual engineering design problem into any kind of rigid mathematical optimization problem, (ii) the inability of classical optimization tools to efficiently take into account the many distinctive features of optimization problems arising in a design context, and (iii) the unavailability of software tools offering to the designer a powerful as well as congenial environment supporting such capabilities. Previous research developed an interactive optimization-based design methodology that accommodates the inherent trade-off driven character of most design problems. This has included the development implementation and testing of the first optimization algorithms that achieve a superlinear rate of convergence while forcing feasibility of all the successive iterates (a crucial property in several engineering contexts) as well as developed, implemented and tested an extension to problems involving a continuum of constraints such as constraints on the frequency or time response of a control system. A window-based, distributed computation environment for interactively exploring tradeoffs arising in optimal design applications (Console) was developed concurrently. The research will concentrate on: (1) the development and analysis of new schemes to enhance the efficiency of the feasible iteration algorithms, with special attention paid to problems with large numbers of constraints; (2) the production of a quality implementation of these schemes and extensive testing; (3) the further development of the interactive optimization-based system (Console). Numerical optimization is used in the context of almost every engineering activity. Available methods and software are often inadequate or techniques are not always relevant to realistic situations. The project addresses this need. Special attention will be p aid to issues such as those of efficiently handling problems with large numbers of inequality constraints, or problems involving functional specifications. The ongoing research continues to make significant educational and industrial contributions. ***