A Class of Optimization Method for Bilevel Multi-objective Decision Making Problem with the Help of Satisfactoriness

1　 IntroductionWe discuss the following bilevel multi-objective decision making problemmaxx F( x,y) ( 1 a)s.t. G( x,y)≤ 0 ( 1 b)maxyifi( x,yi) ,　 i =1 ,… ,p ( 1 c)s.t. gi( x,gi)≤ 0 ,　 i =1 ,… ,p ( 1 d)where F( x,y) =( F1 ( x,y) ,… ,FM( x,y) ) ,M≥ 2 .x=( x1 ,x2 ,… ,x N) Tand yi=( yi1 ,… ,yin) Tstand for the decision variable of the upper-level decision maker and the decision variable ofthe lower-level i-th decision making unit;y=( y T1 ,… ,y Tp) T;letn =∑pi=1ni;F∶ Rn N → RM…     

A Note on the Tu-Deng Conjecture

Abstract Let k be a positive integer.For any positive integer x=∑∞i=0x i2i,where x i=0,1,we define the weight w(x)of x by w(x):=∑∞i=0x i.For any integer t with 0t2k-1,let S t:={(a,b)∈Z2|a+b≡t(mod 2k-1),w(a)+w(b)k,0≤a,b≤2k-2}.This paper gives explicit formulas for cardinality of S t in the cases of w(t)≤3 and an upper bound for cardinality of S t when w(t)=4.From this one then concludes that a conjecture proposed by Tu and Deng in 2011 is true if w(t)≤4.     

New method of improving the security of the hyperchaotic cryptosystem

1 .INTRODUCTIONU.Parlitz used surrogate data analysis for unmaskingchaotic communication systems[1]. He thinks thatone possibility to i mprove the privacy of chaotic en-codingis to use (very) high di mensional chaotic at-tractors for encrypting a given message[2].Firstly, based on the active-passive decomposi-tion method, he decomposed a hyperchaotic systeminto transmitter and receiverx.1=-x2+ax1x.m= xm-1-xm+1, m =2,…,M-1x.M=ε+bxM( xM-1-d) (1)wherea=0·29, b=4, d=2,ε=0·1 . ForM=11 ,…     

蛋白质凝胶电泳与田间种植鉴定玉米种子纯度的相关性研究

采用蛋白质凝胶电泳与田间种植鉴定两种方法鉴定了25个玉米种子样品的纯度。表明两者结果显著相关，相关系数r=0.583，确定了回归方程为y=0.564+0.427x。证明蛋白质凝胶电泳法鉴定玉米种子纯度是可靠的。表1，参2。     

ON THE BOUNDEDNESS OF SOLUTIONS,EXISTENCE AND UNIQUENESS OF LIMIT CYCLES FOR A CLASS OF CUBIC DIFFERENTIAL SYSTEM

In this paper, we discuss the boundedness of the solutions, the existence andthe uniqueness of the limit cycle of the following cubic differential system:x'=y, y'=-x+δy+a_2xy+a_4x+a_5x~2y. (*)We obtain the following results:(1) System (*) is bounded if and only if (i) a_5<0, a_4=0; or (ii) a_5=0, a_4<0, δ≤0,-(-8a_4)~(1/2)相似文献   

一种产品可靠性综合评估模型的数值分析方法

小样本产品在研制结束进行可靠性评估时 ,由于样本量少 ,使评估的可信度低 ,风险大。为解决这一难题 ,构造了变环境变母体的可靠性综合评估模型。拟合方法、寻优方法和优化准则是为解出模型中的环境折合系数而涉及的几个问题。通过对各种方法计算结果的对比分析 ,最终确定的计算方法是采用过末点拟合直线、穷举搜索法进行寻优 ,优化准则是使各拟合直线的相关系数的方差最小。     

网络中的优势有效点与选址问题

一、引言 设N=(V,A)为一个有限、简单、无向的连通网络,其顶点集为V,连杆集为A。 设U={u_1,u_2,…,u_p}V,每个u_i对应一个定义在N中点集上的函数d_i(i=1,2,…,p),其定义如下: 这里d(x,u_i)表示x与u_i之间在网络中的最短距离(即连接x与u_i的任一条最短路径的长度)。 我们的问题是求x~*N,使每个函数d(x,u_i)在x~*都取“极小”值(i=1,2,…,p)。这显然是一个多目标决策问题。     

基于函数γ+δi的加权WGM(1,1)模型及其在技术创新中的应用

针对以前文献加权WGM(1,1)模型人工赋权,由于序列(0)(n)后的权重未知,从而导致无法还原x(0)(n)以后的预测值的问题,本文提出了线性函数γ+δi赋权.本文首先证明了WGM(1,1)模型的基本形式;第二,基于WGM(1,1)模型的基本形式,用最小二乘法估计其参数γ,δ,a,b,构建了线性加权WGM(1,1)模型;第三,为对比分析,又构建了加权改进WIGM(1,1)模型;第四,通过技术创新实例对所构模型进行实证.其结果表明,WGM(1,1)模型能减少序列平均相对百分比误差(MAPE).若经过WGM(1,1)模型拟合后,仍有较大的MAPE值,这时还可以用WIGM(1,1)模型再拟合,以进一步减少MAPE值;最后,从理论与实证上,论述了WGM(1,1)和WIGM(1,1)模型的有效性及最佳使用条件.     

层级树结构中的无标度行为

通过构建层级树的生长模型发现，尽管新部门的添加是随机且等概率的，但由于层级树自身的结构特性使节点累计度的增加具有了择优机制。理论分析和数值模拟证实，在管理幅度恒定时，节点累计度为kcum的概率P（kcum）与累计度之间的关系近似服从幂律分布：P（kcum）=m2kcum-2／（m-1）（kcum〉〉2）。这说明对累计度分布而言，产生无标度行为的演化模型无需同时具备增长和择优两个条件，层级树的结构特点会使累计度的变化形成“富者愈富”的择优机制。这一结果使我们对层级树结构的性质有了新的认识，对用Cayley树及其近似结构描述的实际应用无疑具有重要意义。     

采用属性相关分析的异常数据检测方法

为了发现数据库中的异常数据,提出了两个数据项集之间相关可信度的新概念,并研究了基于该度量的异常数据检测规则的计算算法,产生的规则适合于离散型属性孤立点的检测。在计算检测规则中,最小相关可信度阈值不需由用户指定,而是根据1〖CD*2〗数据项集的频率确定;利用相关可信度的性质,可以减小检测规则计算算法的时间复杂度。实验结果表明,采用该方法计算获得的相关规则进行异常数据检测,不仅效率较高,而且检测的准确率、查全率也较高。     

均匀设计在目标捕捉仿真中的应用研究

利用对目标搜捕动态过程的描述,建立了搜捕过程的数学模型,统计计算特定参数下的搜捕概率;利用均匀试验设计方法安排试验情况,得到了蒙特卡洛仿真结果,并进行回归分析,建立了雷达末制导总体参数与搜捕概率指标的预报公式;利用此预报公式的分析方法可以进行总体参数的初步设计,并进一步通过数学仿真进行检验,减少系统设计和射击参数装订的盲目性。     

The 12th International Conference on Service Systems and Service Management ICSSSM'15

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THE 8~(th) INTERNATIONAL CONGRESS ON INDUSTRIAL AND APPLIED MATHEMATICS

正August 10-14,2015Beijing,ChinaThe International Congress on Industrial and Applied Mathematics(ICIAM)is the premier international congress in the field of applied mathematics held every four years under the auspices of the International Council for Industrial and Applied Mathematics.From August 10 to 14,2015,mathematicians,scientists     

2014 List of Referees

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《Journal of Systems Science and Systems Engineering》Contents of Volume 23,2014

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TSINGHUA UNIVERSITY,Beijing, China

正AF:Any Field The School of Economics and Management at Tsinghua University(Tsinghua SEM)invites applications for faculty positions at all levels(Assistant Professor,Associate Professor and Full Professor)in any fields of business administration and management.Tsinghua SEM is the only school     

Enterprise resource planning implementation decision & optimization models

To study the uncertain optimization problems on implementation schedule, time-cost trade-off and quality in enterprise resource planning (ERP) implementation, combined with program evaluation and review technique (PERT), some optimization models are proposed, which include the implementation schedule model, the timecost trade-off model, the quality model, and the implementation time-cost-quality synthetic optimization model. A PERT-embedded genetic algorithm (GA) based on stochastic simulation technique is introduced to the optimization models solution. Finally, an example is presented to show that the models and algorithm are reasonable and effective, which can offer a reliable quantitative decision method for ERP implementation.