THE ASCENDING SUBGRAPH DECOMPOSITION OF K_n-H_(2n-1)

1.IntroductiollAlavi,Y.etal.presentedaconceptofsubgraphdecompositionin[1],whichiscalledascendingsubgraphdecomposition(abbreviatedASD).GivenagraphGwithqedges,C: ,5q5C: ,GissaidtohaveanASD,ifthereisnsuchthatGcanbedecomposedintonsubgraphsGIjGi,''3G.withouti…     

ON SIMULTANEOUS L~P-APPROXIMATION (0

MIN Guohua Department of Mathematics  East China Institute of Technology  Nanjing  China 《系统科学与复杂性》1993,(3)

CODIMENSION 1 AND 2 IMMERSIONS OF DOLD MANIFOLDS IN COMPLEX PROJECTIVE SPACES

In this paper the following problem has been completely solved:when is a map f:P(m‘n)→CP~(?) homotopic to an immersion with codimension one or two     

THE MARCINKIEWICZ-ZYGMUND INEQUALITY IN B_α SPACES(I)

The Marcinkiewicz-Zygmund inequality with derivative for an algebraic polynomial of order < N = (q +1)n - 1 is established in a Ba space. As a corollary, the Marcinkiewicz-Zygmund inequality with derivative for an algebraic polynomial in a particular Orlicz space is obtained.     

GM (1, 1) 模型应用

用灰色系统理论的ＧＭ（１,１）模型,对我国１９９６～２０００年在学研究生数进行了预测。     

AR(1)-MA(1)模型的矩估计及其渐近分布

利用矩方法 ,给出了双重时间序列 AR( 1) - MA ( 1)模型的矩估计 ;并证明了该估计的渐近正态性.     

时序残差GM (1, 1) 模型

顾及时序残差对灰色ｘ（０）－ＧＭ（１,１）模型精度的影响,提出时序残差ε（０）ｔ－ＧＭ（１,１）模型,并利用时序残差ε（０）ｔ－ＧＭ（１,１）模型和ｘ（０）－ＧＭ（１,１）模型联合进行精度检验和预测,能较好地提高模型精度和预测精度,实例说明是有效的。     

HAMILTONICITY IN 2-CONNECTED {K_(1,3) F}-FREE GRAPHS

ＨＡＭＩＬＴＯＮＩＣＩＴＹＩＮ２－ＣＯＮＮＥＣＴＥＤ｛Ｋ_（１，３）Ｆ｝－ＦＲＥＥＧＲＡＰＨＳ￥ＬＩＧｕｏｊｕｎ（ＭａｔｈｅｍａｔｉｃｓＤｅｐｅｒｔｍｅｎｔｏｆＹａｎｔａｉＴｅａｃｈｅｒ＇ｓＣｏｌｌｅｇｅ，Ｙａｎｔａｉ２６４０００，Ｃｈｉｎａ）ＬＩＵ?..     

GM(1，1)模型的精确解法

通过分析GM(1,1)模型白化形式微分方程的解析表达式,导出了求解GM(1,1)的精确离散化模型。讨论了灰色序列初始点取值对预测效果的影响,并给出了相应的解决方法。该方法对于解决其他推广形式的灰色模型具有普遍的应用价值。给出了一种推广GM(1,1)模型的精确离散化形式。     

DECISION MAKING - THE ANALYTIC HIERARCHY AND NETWORK PROCESSES (AHP/ANP)

This is the first part of an introduction to multicriteria decision making using the Analytic Hierarchy Process (AHP) and its generalization, the Analytic Network Process (ANP). The discussion involves individual and group decisions both with the independence of the criteria from the alternatives as in the AHP and also with dependence and feedback in the entire decision structure as in the ANP. This part explains the Analytic Hierarchy Process, with examples, and presents in some detail the mathematical foundations. An exposition of the Analytic Network Process and its applications will appear in later issues of this journal.     

GM(1;1)模型的动态特性分析

ＧＭ（１，１）模型是灰色系统理论中灰色模型的基础。本文分析了包括收敛、发散、稳定、混沌等在内的ＧＭ（１，１）模型的各种动态行为特性，从而为研究其适用的预测对象的特点奠定了理论基础。     

GM(1, 1)与DM(1, l)模型的实质及其参数的最小二乘估计法

ＧＭ（１，１）与ＤＭ（１，ｌ）模型的实质及其参数的最小二乘估计法杨义群，冯恭己（浙江农业大学经贸学院，杭州３１００２９）（杭州大学）ＴｈｅＣｒｕｘｏｆＭｏｄｅｌｓＧＭ（１，１）ａｎｄＤＭ（１，１）ａｎｄｔｈｅＬｅａｓｔＳｑｕａｒｅＥｓｔｉｍａｔｉｏｎ...     

非等间距GM(1 ,1) 模型建模研究

基于灰色模型的指数特性和积分定义,提出了一种重构非等间距序列的GM(1,1)模型背景值的方法,用该方法重构的背景值更加精确,可以提高GM(1,1)模型的拟合精度和预测精度,进一步拓广GM(1,1)模型的应用范围.     

THE 8~(th) INTERNATIONAL CONGRESS ON INDUSTRIAL AND APPLIED MATHEMATICSEI北大核心CSCDCSSCI

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     

A HEURISTIC FOR F3/bi= b/C_(max) AND ITSWORST-CASE ANALYSIS

1.IntroductionTheF3Cm..canbestatedasfOllows.Eachofthenjobs1,2,'')nistobeprocessedonthreemachinesA,B,Cinthesameorder.Giventheprocessingtimesal?hiandciofjobionmachinesA,BandC,findtheorderinwhicheachmachineshouldprocessethejobssoastominimizingthetotaltimesp…     

MGM(1,n)灰色模型及应用

提出多变量灰色模型（ｍｕｌｔｉ－ｖａｒｉａｂｌｅｇｒｅｙｍｏｄｅｌ）—ＭＧＭ（１，ｎ）模型，它是单变量的ＧＭ（１，１）模型在多变量（ｎ元变量）情况下的自然推广。通过对国有建筑施工企业就业人数和城镇集体建筑施工企业就业人数的建模和预测，表明ＭＧＭ（１，ｎ）模型的精度高于分别单独使用的ＧＭ（１，１）模型的精度.     

PERSPECTIVES ON URBAN WATER INFRASTRUCTURE IN CHINA FOR THE 21~(ST) CENTURY: SDMUWEIC MODEL

Based on system dynamics approach, SDMUWEIC model is developed in order to evaluate future dynamics of urban water infrastructure development in China. Firstly, this paper presents the basic structure and characteristics of the model, focusing on water infrastructure's dynamic relationships with population increase, economic development, water resources shortage and water conservation practices. Secondly, model veracity and robustness tests based on behavior reproduction and uncertainty analyses are illustrated. Thirdly, based on the model, future patterns of China's urban water infrastructure investment requirements are simulated, and effectiveness of two different policy scenarios are evaluated. Finally, conclusions and policy implications are drawn, allowing insights into China's sustainable water infrastructure policies and managements.     

单机排序1|sp-graPh|∑wj(1-e-rCj)的最优算法

研究约束条件为串并有向图的单机加权总折扣花费问题,通过证明在考虑折扣因子的条件下,模块M的ρ因子最大初始集合I中的任务优先于模块M中的其他任务加工,并且被连续加工所得的排序为最优排序,从而将Lawler用来求解约束为串并有向图的单机加权总完工时间问题的方法推广到这个问题上.     

关于灰色系统GM(1;1)模型的一些理论问题

ＧＭ（１,１）＝ＩＡＧＯＧＭＡＧＯ：ｘ｜→ｘ（ｔ）是单序列ｘ的灰色系统的动态模型。本文研究映射ＩＡＧＯＧＭＡＧＯ：ｘ｜→ｘ（ｔ）的协调性,以及拟合函数ｘ（ｔ）的单调性、凹凸性和渐近性质。进而修改、完善了ＧＭ（１,１）模型。使得取消了原始序列ｘ为非负的限制,映射ｘ｜→ｘ（ｔ）具有协调性且提高了拟合精度,拓广了运用范围。     

基于灰色马尔可夫SCGM(1 ,1) C 模型的空难人数预测

空难事故预测是航空安全评价和决策的基础.灰色预测适合于时间短、数据量少和波动不大的系统对象,而马尔可夫链理论适用于预测随机波动大的动态过程.结合灰色预测和马尔可夫链理论的优点,提出了一种灰色马尔可夫SCGM(1,1)C模型.用单因子系统云灰色SCGM(1,1)C模型拟合系统的发展变化趋势,并以此为基础进行了马尔可夫预测.对1979~2003年全球空难人数进行了预测分析,结果表明该模型既能揭示了空难人数变化的总体趋势,又能克服了随机波动性数据对预测精度的影响,具有较强的工程实用性.