对偶规划 meaning in Chinese
dual program
Examples
- At the beginning of their research , they could transform some nonlinear programming into relevant dual , such transformation made some outcome almost similar to linear programming . but if they wanted meaningful results , they had to consider convex programming
在初期,他们发现可以将某些非线性规划表述为一个相应的对偶规划,且有少量相似于线性规划的结果,但如果希望得到有意义的结果,只能考虑凸规划。 - In the progress of deducing the dual of these two problems using the knowledge of convex programming and generalized fenchel theory , you can find lagrange dual of the two programming by lagrange dual in nonlinear programming in this article
基于凸规划知识和广义的fenchel定理,作者推导出这两类问题的凸对偶规划。同时,发现由非线性规划中lagrange对偶可以获得这两类问题的lagrange对偶规划,且推导过程中没有涉及很深的数学知识,使得应用更为广泛。 - The stress and local stability constraints are transformed into movable lower bounds of sizes . an inverse variable xt = ? is inducted , and the objective function is expanded as second order taylor approximation while the displacement constriction is expanded as first order taylor approximation . the lemke algorithm is used to get the final design result
把复杂的应力约束和局部稳定约束转化为动态尺寸约束,引入倒变量x _ i 1 / a _ i将目标函数展开为二阶近似,将位移约束用莫尔积分化为一阶近似,用对偶规划方法将原问题化为等价的二次规划问题,调用lemke算法,求得最优设计结果。 - According to the dual theory , a simple geometric programming was proposed to derive a corresponding geometric dual problem instead of cross - entropy optimization problem with cross - entropy constrains , which is a concave programming one with linear constrains , leading to a simpler calculation
根据对偶理论,提出了一个简单的几何规划,该方法把一个带有叉熵约束的叉熵优化问题转化成了一个对偶规划,而对偶规划是一个只需要解决一个带有线性约束的凸规划问题,比较容易计算。 - 2 . for the problem with size , stress and displacement constraints , the stress constraint is transformed into movable lower bounds of sizes , the displacement constraint is transformed into an approximate function which explicitly includes design variables by using mohr integral theory . a mathematical programming model of the optimization problem is set up . the dual programming of the model is approached into a quadratic programming model
2 .对于尺寸、应力和位移约束的问题,将应力约束化为动态下限,用单位虚荷载方法将位移约束近似显式化,构造优化问题的数学规划模型,将其对偶规划处理为二次规划问题,采用lemke算法进行求解,得到满足尺寸、应力和位移约束条件的截面最优解。