Compared with original procedure,( after)( the)( example) confirmation, the improving dual descent procedure can approach the optimal solution. 经过实例验证,改进对偶下降算法和原算法相比,求解结果要好于原算法,更能接近最优解。
The method of reading dual optimal solution 从原问题的最优表中读对偶最优解
Shadow price of resource and non-uniqueness of dual optimal solution 资源的影子价格与对偶最优解的非唯一性
They have a dual property that an optimal solution of problem A could be a straight-line connecting two given points and an optimal solution of prob-lem B could be a point of intersection of two given straight-lines. 我们发现问题A和问题B有很好的对偶性质:问题A的最优解可在某两个给定点的联线中找到;问题B的最优解可在某两条给定直线的交点中找到。
A lot of unit tests have been taken to gain sufficient data with which dual variable coal cost characteristic surfaces have been established by least-square method. An optimal solution has been found by successive gradient optimization. 本论文将通过大量试验获得的数据运用曲面拟合的最小二乘法建立了双变量煤耗特性曲面,并结合煤气全利用逐次梯度寻优法获得机组综合分配问题的较优解。
There is no dual vari-ables and penalty parameters in the proposed net, and the number of the state variables which the net needs is the least. It can be guaranteed to asymptotically converge to an exact optimal solution. 该网络所需状态变量少,不含对偶变量和罚参数,并能渐近收敛于原问题的最优解。
The sub-problems and its dual problem produce feasible cut or optimal cut, and fed the cut back to the main issues, the progressive loops until the main problem get its optimal solution. 给出了各个子问题和对偶问题的数学表达,求解子问题及对偶问题,将产生的可行割或优化割反馈回限制主问题,迭代直到获得主问题的最优解。