随机规划中若干凸性命题(Ⅱ)

Peter kall discussed the convexity statement if a_(i1)(ω),…,a_(in)(ω),b_i(ω) are independent random variables with known normal distributions.In theorem 1, we discuss the convexity statement if a_(ik)(ω)～N(m_k,σ_k) (k=1,…,N;1≤N≤n) and others are fixed. Theorem 1 If a_(ik)(ω)～N(m_k,σ_k)(k=1,…,N;1≤N≤n) and a_(ik)(ω)(k=1,…,N are independent and others are fixed, then (i) Suppose then X_i(a_i) is conyex.     

积分语言族的强可识性、半可识性与语言族的强替换性

本文讨论积分语言族的强可识性及半可识性,建立了积分语言族强可识及半可识的充要条件,并运用语言族积分这一工具,对强替换性进行刻划,得到了充要条件.     

随机规划中若干凸性命题(Ⅰ)

There is a Kind of so-called chance constrained programming problems in stochastic programming. One of the main subjects of this kind of problems is whether the constrained set or is convex. In this letter, we discuss the convexity statement if all the elements of the fist column of A(ω) are independent random variables with known Weibull distributions and others are fixed. Suppose density function for Weibull distribution     

机会约束规划中若干凸性命题

在随机规划中,机会约束规划的一般形式是: m;n华(二). 5 .t .P(。!A(。)、》b(。)))a,o镇a成l,二〔X.或者m in5 .t.甲(二),P(。{月‘(。)x)b‘(。)))a‘,o戒a‘(I,二任X.其中甲(劝是凸函数,X是户‘上的凸集,月(。)是。xn维矩阵,月‘(。)是A(。)的第‘个行向量,6(。)是。维r句量,b‘(。)是b(。)的第i个分量,且(。),A‘(。),b(。),b‘(。)的元素是定义在概率空间(口,J,尸)上服从已知(联合)分布的随机变量或常量.机会约束规划时主要问题之一是可行集 X(a)二{x IP(。}A(。)x》b(。))》a,x〔X}或 X‘(a‘)={二}P(。}月‘(。)x>b‘(。))>a,…     

语言族的L-积分

Let Σ be a finite alphabet, Σ~*a free monoid generated by Σ, word on Σ,a Language on Σ, a family of Language. Guo yugi et al.define the integration of family of Languages-the inverse operation of the (left) diferential coefficient of family of Languages and discuss its structure In this letter, we discuss the structure of the L-integration of family of Languages. We have obtained the following: