模糊线性规划的最优解

本文说明模糊线性规划的模糊优越集C_f,在一般情况下是去掉端点x~((0))的线段。在线段上有且只有一个模糊线性规划问题的最优解。最后提出了解模糊线性规划的一个比较简便的算法。根据本文的结论,可以证明Zimmermann算法的最优值因此,Zimmermann算法的最后一步可简单地用代替,从而节省了大量的计算工作量。[3]指出,当模糊判决用乘法或凸组合运算时,导出的规划往往是非线性的,求解比较困难。然而,用本文的结论,问题能容易地得到解决。     

具有模糊系数的模糊线性规划问题

本文考虑具有模糊系数的模糊线性规划问题中各系数的模糊可能性分布，而用指数（或线性）的隶属函数来描述，然后使用模糊数集上的实值函数，使模糊数在模型均值的意义下对应于一个实数，借此，将原问题公式化为一个普通线性规划。     

单纯形方法的两个变种

考虑标准形式的线性规划问题: (LP) maxinlize z=c。rz s.t. 4z一6,zJ≥0,J∈E={1,…,w).其中_∈门“‘,6∈胪,c∈彤,且以为行满秩.设有一基矩阵力。::(“,。,…,‰),相应的基变量构成的向量为z一:(zJl,…,z‘)’.引入列指标集t,。=㈦,…,√,。)及填补集瓦=层一J。和行指标集 ,={。l(刀:6)。<0, 。一I,…,Ⅲ) 、 (1)及其补集7={I,…川。)一,.我们_仃如。卜‘类型的子问题: nlax…ze z。三0 ∑孕J (2a); 。∈”H s.t.。口==以:’6一≥:(以=’ⅡJ)zJ; (2b) i虿。a q≥O,V J∈,B; (2c) zj.≥0,V i∈,. (2d)著,非空,取行指标i使得 i:Arg…     

模糊线性规划问题的一种新的单纯形算法

提出求解模糊线性规划问题的一种新的思路 ,就是应用单纯形法先求解与 (FLP)相应的普通线性规划问题 ,通过模糊约束集与模糊目标集的隶属度的比较 ,获得两个集合交集的最优隶属度 ,将此最优隶属度代入最优单纯形表中 ,即可求得 (FLP)的解。本算法只需在一张适当的迭代表台上执行单纯形迭代过程 ,简捷方便适用     

基于GA的一类Fuzzy资源非线性规划问题的模型

本文建立了一类连续型Ｆｕｚｚｙ资源约束非线性规划问题的模型ＦＲＮＬＰ。基于ｆｕｚｚｙ最优解集和最优决策集，提出了求解ＦＲＮＬＰ模型的精确最优解和满意解的方法，最后研究并讨论了具有惩罚因子的ｆｕｚｚｙ资源约束非线性规划问题，并针对一个实例进行了分析。     

线性规划课程教学改革初探

本文就线性规划课程的教学进行了一系列的改革与探索,从知识的体系化、重点化、延深化以及讲授法等方面作了大量工作,得到了一些体会,在实践教学中效果较好．     

一个错解点评引发的思考——线性规划帮你释疑

本文从与湘教版教材配套的资料《名师导学·数学》必修第四册(湖南教育出版社)第60页上编者对一道题的错误点评出发,挖掘了错误的原因,用线性规划解开了学生的疑点,并提出在实际中求解此类不等式的取值范围时应灵活选择方法.     

线性规划椭球算法若干改进结果

本文给出线性规划哈奇杨椭球算法的两个改进形式,推广了哈奇杨文的结果,给出了对解线性代数方程组的应用和若干数值算例。     

指数跟踪问题的广义双线性规划模型

本文对指数跟踪问题建立了一种广义的双线性规划模型,其中考虑了交易费用、持仓限制与重平衡问题.根据该模型的特殊结构,本文给出了近似规划算法,通过逐次逼近的线性规划求解最优指数跟踪问题.     

Estimation of the number of components of finite mixtures of multivariate distributions

An estimator of the number of components of a finite mixture ofk-dimensional distributions is given on the basis of a one-dimensional independent random sample obtained by a transformation of ak-dimensional independent random sample. A consistency of the estimator is shown. Some simulation results are given in a case of finite mixtures of two-dimensional normal distributions.     

Galois Structure of K-Groups of Rings of Integers

N/Kbe a Galois extension of number fields with finite Galois group G.We describe a new approach for constructing invariants of the G-module structure of the K groups of the ring of integers of N in the Grothendieck group of finitely generated projective Z[G]modules. In various cases we can relate these classes, and their function field counterparts, to the root number class of Fröhlich and Cassou-Noguès.     

Eigenvector p-Bases of Rings of Constants of Derivations

Let A be a UFD of characteristic p > 0, let 𝒵 be a set of some eigenvectors of a derivation of A. We prove, under some additional assumptions, a necessary and sufficient condition for 𝒵 to be a p-basis of the minimal ring of constants containing 𝒵. The main preparatory result is the unique decomposition theorem with respect to a factor from a given subalgebra containing A^p.     

有资格限制的指派问题的求解方法

在实际的指派工作中，常会遇到某个人有没有资格去承担某项工作的问题，因此，本建立了有资格限制的指派问题的数学模型。在此数学模型中，将效益矩阵转化为判定矩阵，由此给出了判定此种指派问题是否有解的方法；在有解的情况下，进一步将效益矩阵转化为求解矩阵，从而将有资格限制的指派问题化为传统的指派问题来求解。最后给出了一个数值例子来说明这样的处理方法是有效的。     

On Sums of Coefficients of Products of Polynomials

We study the nilpotency of the sums of all coefficients of some sorts of products of polynomials over reversible, IFP, and NI rings, and introduce an SCN ring as a generalization. We characterize SCN rings in relation with related ring properties, and also provide several useful properties and ring extensions of SCN rings.     

Convergence of sequences of sets of associated primes

It is a well-known result of M. Brodmann that if is an ideal of a commutative Noetherian ring , then the set of associated primes of the -th power of is constant for all large . This paper is concerned with the following question: given a prime ideal of which is known to be in for all large integers , can one identify a term of the sequence beyond which will subsequently be an ever-present? This paper presents some results about convergence of sequences of sets of associated primes of graded components of finitely generated graded modules over a standard positively graded commutative Noetherian ring; those results are then applied to the above question.

     

Rates of Convergence of Means of Euclidean Functionals

Let L be the Euclidean functional with p-th power-weighted edges. Examples include the sum of the p-th power-weighted lengths of the edges in minimal spanning trees, traveling salesman tours, and minimal matchings. Motivated by the works of Steele, Redmond and Yukich (Ann. Appl. Probab. 4, 1057–1073, 1994, Stoch. Process. Appl. 61, 289–304, 1996) have shown that for n i.i.d. sample points {X ₁,…,X _n } from [0,1] ^d , L({X ₁,…,X _n })/n ^(d−p)/d converges a.s. to a finite constant. Here we bound the rate of convergence of EL({X ₁,…,X _n })/n ^(d−p)/d . Y. Koo supported by the BK21 project of the Department of Mathematics, Sungkyunkwan University. S. Lee supported by the BK21 project of the Department of Mathematics, Yonsei University.     

图表示范畴的两个子范畴

引进图表示范畴的两个子范畴,研究它们的同调性质。     

Asymptotics of families of solutions of nonlinear difference equations

One method to determine the asymptotics of particular solutions of a difference equation is by solving an associated asymptotic functional equation. Here we study the behaviour of the solutions in an asymptotic neighbourhood of such individual solutions. We identify several types of attraction and repulsion, which range from almost orthogonality to almost parallelness. Necessary and sufficient conditions for these types of behaviour are given.