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博弈分析方法在重力坝多目标设计中的应用
引用本文:谢能刚,孙林松,郭兴文.博弈分析方法在重力坝多目标设计中的应用[J].河海大学学报(自然科学版),2006,34(2):161-164.
作者姓名:谢能刚  孙林松  郭兴文
作者单位:安徽工业大学机械工程学院,安徽,马鞍山,243002;扬州大学水利科学与工程学院,江苏,扬州,225009;河海大学土木工程学院,江苏,南京,210098
基金项目:中国科学院资助项目;安徽省教育厅自然科学基金
摘    要: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.

关 键 词:博弈  重力坝  多目标设计  目标偏好
文章编号:1000-1980(2006)02-0161-04
收稿时间:2005-07-04
修稿时间:2005-07-04

Application of game analysis to multi-objective design of gravity dam
XIE Neng-gang,SUN Lin-song,GUO Xing-wen.Application of game analysis to multi-objective design of gravity dam[J].Journal of Hohai University (Natural Sciences ),2006,34(2):161-164.
Authors:XIE Neng-gang  SUN Lin-song  GUO Xing-wen
Abstract: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.
Keywords:game  gravity dam  multi-objective design  objective predilection
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