在错误矩阵的研究基础上,研究用错误矩阵方程表示系统资源约束和用对象集合表示条件与人为约束的消错规划优化模型.对两类规划错误矩阵方程,一类:Ax 二B 、A . x = B 、A ▲ X 二B 、A VX 二B 、A 八X 二凡二类:XA 二B 、x . A = B 、x ▲ A = B 、XVA 二B 、x 八A 二B ,本文基于二类1 方程从=B 与客观、人为、需求等3 种限制构成规划模型,并研究此规划的求解方法、解的存在性、解的形式,并进一步研究了这类消错规划模型规划的求解,最后给出了一个应用示例.
Abstract
It introduces the concept of error matrix and studies the optimization model for error-eliminating program—ming.The system resource constraint is expressed by error matrix equation,and the conditions and artificial con·straints are expressed by object sets in the optimization model.All of the error matrix equations are classfied into twogroups,which are type one:AX=B,A●X=B,AAX=B,AVX=B,AAX=B;and type two:XA=B,XQA=曰,X▲A=B,XVA=B,XAA=B.The solution method,the existence of solution.and the form of solution for error—eliminating programming,based on the first kind of type two equation XA=B.have been presented.Finally,anexample of solving the problem with error—eliminating programming is given.
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