The mathematical programming methods , both the method of moving asymptotes ( mma ) belonging to convex programming methods and the sequential linear programming method ( slp ) , were used to solving optimization problems 用移動漸進線方法( mma )求解單目標優(yōu)化問題,用序列線性規(guī)劃方法( slp )求解模糊目標混合規(guī)劃問題。
It is shown that these four types of single machine scheduling problems can be modeled as an assignment problem by mathematical programming method , thus these four types of problems can be solved in polynomial time 用數(shù)學規(guī)劃的方法證明了四類多準則下的單機排序問題可以轉(zhuǎn)化為指派問題,從而這四類問題都多項式時間可解。
The status of the research for non - entirety analysis of arch dam and joint models commonly used were reviewed . the fem analysis for contact problem , i . e . , iterative method , contact constraints method and mathematical programming method , were summarized . 2 評述了拱壩結(jié)構(gòu)非整體性分析研究的現(xiàn)狀以及拱壩結(jié)構(gòu)分析中常用的接縫模型;進一步從直接迭代法、接觸約束法和數(shù)學規(guī)劃法三個方面綜述了基于有限單元法的接觸問題分析方法。
Firstly , a simple and practical representing method of the tooth edge tangential vector is applied to replace the traditional differential formula , the simple solving technique of edge contact problem makes the geometric edge contact analysis of the complex curve surface realize . secondly , using numerical searching and mathematical programming method solves the contact directions and loaded contact problem . finally , whole numerical simulation method is provided for loaded tooth contact analysis of high contact ratio spiral bevel gears 首先以一種簡單實用的輪齒邊緣切矢量的數(shù)學表示方法取代了經(jīng)典的微分表達式,大大簡化了幾何邊緣接觸的求解,使復雜曲面的幾何邊緣接觸分析得以實現(xiàn);其次又采用數(shù)值搜索與數(shù)學規(guī)劃法求解了邊緣接觸的主方向和承載接觸問題,為高重合度弧齒錐齒輪承載嚙合全過程的數(shù)值仿真提供了完整的方法。