Constrained Minimax Optimization in Computer-Aided Design ofEngineering Systems

经典的非线性规划问题公式往往也是如此 严格到足以描述工程设计问题。 设计 方法是基于一个具有三个特征的问题制定 规格类型：硬约束、软约束和 目标. 与这一方法有关的两个核心问题是 解决：需要强大的优化算法在一个 工程背景和需要有效的方式传达给 关于可能的折衷设计的设计者信息。 的努力 在算法开发中，将侧重于超线性收敛 算法 现有的方法将适用于极大极小问题， 修改，以考虑到在一个 工程设计背景。 加强交流的工作 计算机和设计师之间的交流将研究评估 潜在的折衷，而无需执行昂贵的模拟运行。 还有， 将寻求有效的方法，以图形方式传达给设计师 获得的信息。 最后，各种技术， 开发的将在DELIGHT系统中实现，并在 各种设计问题。

The classical nonlinear programming problem formulation is often too rigid to adequately describe an engineering design problem. A design methodology is developed based on a problem formulation featuring three types of specifications: hard constraints, soft constraints, and objectives. In relation with this methodology, two central issues are addressed: the need for powerful optimization algorithms in an engineering context and the need for efficient ways of conveying to the designer information about the possible tradeoff designs. The effort in algorithm development will focus on superlinearly convergent algorithms. Existing methods will be adapted to minimax problems and modified to take into account various requirements arising in an engineering design context. The work on enhancing the communication between computer and designer will investigate ways of evaluating potential tradeoffs without performing costly simulation runs. Also, efficient ways will be sought for graphically conveying to the designer the information obtained. Finally, the various techniques thus developed will be implemented in the DELIGHT system and tested on various types of design problems.