对重力坝断面进行多目标设计,目标函数取以断面面积为代表的经济性目标函数和以坝踵应力为代表的强度安全性目标函数,建立多目标设计模型.提出一种基于博弈分析思想的求解方法,建立多目标问题博弈分析的技术路线和计算步骤.实例计算结果表明,博弈分析方法可有效解决多目标问题,并可实现单个目标偏好,获得令设计人员满意的方案.
A multi-objective design was performed for the cross section of a gravity dam. A multi-objective design model was developed with the objective functions selected as the economy objective function and safety objective function, which reflected the area of cross-sections and the stress of dam heel respectively. A solving method based on game theory was proposed, and the technical path and calculation steps for game analysis were established. Case study shows that the present method is effective for solving the multi-objective problem, and it can also realize single objective predilection and obtain satisfactory schemes.