摘要
提出了鞍点规划的概念，建立了两类有重要应用价值的鞍点规划数学 模型．它是解决形位误差评定等一类工程问题的有力工具．据此可以建立 形位误差评定统一的数学模型；通过分类编码，揭示了各种评定问题的共 性．给出了最小条件的解析表达式和几何判别准则，为评定的计算机化提 供了依据．根据上述原理开发的评定软件，目前已应用在生产实际中．
This paper puts forward the concept of Saddlepoint Programming (SP), and two important types of SP models are given. The research result indicates that the SP is an effective tool to solve such engineering problems as Geometric Error Evaluation (GE) which seek Minimax point. A universal model of GE is established, and systematic classification and catalogue of various GE problems are made which clearly show the common characteristics of GE problems. Besides, the least condition of GE is also given in formula which makes possible for the computer to carry out to work. The software based on the above theory has been applied to production successfully.
出处
《大连理工大学学报》
EI
CAS
CSCD
北大核心
1993年第1期33-38,共6页
Journal of Dalian University of Technology
基金
国家自然科学基金资助项目
关键词
鞍点
形位偏差测量
数学规划
saddlepoint
measurement of form and position deviation
mathematical programming
