混合料配合比矿料组成设计的改进正规方程法

为解决正规方程法进行混合料配合比组成设计时出现负数解及混合料级配超出理论界限范围的问题，采用迭代算法.先按普通正规方程法计算矿料组成比例系数，将得到的混合料级配作为目标级配初始值，当矿料组成比例系数为负数时则取消对应的矿料，对超出理论级配范围上限或下限的目标级配值则强制调整为相应的界限值，根据修正后的目标级配再利用普通正规方程法计算新的矿料组成比例系数，将得到的新混合料级配作为新的目标级配，通过迭代计算最终得出完全满足理论设计级配范围要求的解，其结果与采用二次规划法的计算结果完全相同.改进后的正规方程法算法简单明了、应用方便；计算结果收敛、稳定，具有良好的工程实用性.

Improved algorithm on normal equation method for aggregate proportion design of mixture

In calculation of the aggregate proportion in the ratio of mixture design by normal equation method,the value of solution may be negative,or the result gradation of the compound may go beyond the standard range.By iterative algorithm,the improved method uses the gradation data calculated by normal equation method as initial target value.The relevant aggregate will be canceled if the result of proportion is negative,and the gradation to the boundary value will be set if the sieving data goes beyond limits.With modifying the object value and using the normal equation method again,the new aggregate proportion can be solved.Then the new gradation of the compound will serve as the next target value.Finally,the accurate results can be obtained by the iterative algorithm.Although the principle of the improved method is simple,it has good applicability in engineering and other excellent characteristic such as good astringency ,stability,convenience,and same accuracy compared with the quadratic programming method.