用遗传算法求解多目标0/1背包问题

扼要介绍多目标优化的Pareto最优性概念 ,研究搜索多目标 0 1背包问题Pareto最优解集的快速遗传算法 (FPGA :fastParetogeneticalgorithms) .FPGA采用种群中非支配解的层次评价可行解的适应值 ,提出了一种快速非支配解层次辨识算法 ,辨识算法仅有O(n2 )数量级的计算复杂性 ;采用基于聚类概率排挤的小生态技术维持种群多样度和Pareto最优解集的分布均匀性。对多种多目标 0 1背包问题的仿真优化实验结果表明 ,FPGA能够以有效的计算成本搜索到精度高的、分布均匀的高质量Pareto非劣解集 ,其收敛速度和收敛准确性一致地优于代表性的强度Pareto进化算法 (SPEA) .     

一类改进的蚁群算法及其收敛性分析

在基本蚁群算法的基础上,提出了一类改进的蚂蚁算法,并证明了当算法迭代次数n充分大时,对于任意小ε>0,算法至少一次找到最优解的概率P*(n)≥1-ε,当n→∞时,P*(n)→1.数值实验表明,改进的算法在取得满意搜索结果的同时,能减少算法的计算量.     

一种改进的Grover量子搜索算法

经分析发现,Grover量子搜索算法及Long的改进算法均无法达到100%成功概率的搜索结果,为此在Long的改进算法基础上提出了一种新的搜索算法.它主要将相位取反替换成具有自适应调整特点的、与目标数据量和数据总量有关的相位旋转,当目标数据量为数据总量的1/2时,将数据总量扩展2倍,这样算法的搜索可以做到100%的成功概率.通过对背包问题的仿真研究表明,所提算法优于Grover算法和Long的改进算法,其求解速度快、准确率高,在带有数据误差的实际问题求解中进行相位匹配能够得到满意的效果.     

一种自适应多样性保持的多目标粒子群算法

提出一种自适应多样性保持的多目标粒子群算法(ADMMOPSO)。该算法引入多样性保持阈值(λα)来控制非劣解的分布,当多样性指标高于阈值λα时,引入一种基于网格的全局最优粒子的选择策略增加种群向真实Pareto前沿收敛的概率,并提升非劣解的多样性。通过4个测试问题和3个测试标准,并与其他算法进行比较,结果表明ADMMOPSO获得了质量较高的非劣解。     

关于不定方程x2+4n=y11的整数解

应用代数数论以及同余法等初等方法讨论不定方程x~2+4~n=y~(11)的整数解情况,证明了不定方程x~2+4~n=y~(11)在x为奇数,n≥1时无整数解;不定方程x~2+4~n=y~(11)在n∈{1,8,9,10}时均无整数解;不定方程x~2+4~n=y~(11)有整数解的充要条件是n≡0(mod 11)或n≡5(mod 11),且当n≡0(mod 11)时,其整数解为(x,y)=(0,4~m);当n≡5(mod 11)时,其整数解为(x,y)=(±2~(11m+5),22m+1),这里的m为非负整数,验证了k=11时猜想1成立。     

流水车间排列排序专家系统—PFSCH

流水车间排列排序问题可以简单表示为:n/m/p/F_(max),其含义为,n个不同的工件(J_1,J_2,…,J_n)要经m台机器(M_1,M_2…,M_m)加工;加工路线为M_1—M_2—…—M_m,n个工件在每台机器上的加工顺序都一样;p表示排列排序;目标函数是使最长流程时间F_(max)(加工周期)最短.n个工件有n!种不同的加工顺序.现已证明,n/m/p/F_(max)(m≥3)问题属于NP难题,找不到多项式时间算法.因此,人们提出了若干个启发式算法,其中最著名的是Campbell等人提出的启发式算法(简称为CDS法).Dannenbring曾比较过11种不同的启发式算法的效果,指出“快速接近扩展搜索法(RAES法)”的结果最好.但是,RAES法实质上还是一种列举法,它不从问题本身的结构出发,具有很大的盲目性.虽     

机载预警雷达牵引模式的IRST探测效能分析

机载预警雷达牵引红外搜索跟踪系统(IRST)探测是同平台多传感器协同的一种重要工作模式。为定量评估该模式对IRST探测效能的影响,以IRST探测概率作为评估指标,建立多个瞬时视场下的成功牵引概率数学模型,计算在不同雷达工作模式下满足一定成功牵引概率的IRST搜索视场范围,推导IRST的探测概率与作用距离、脉冲积累之间的关系式。仿真结果表明,在保证成功牵引概率为0.99的前提下,雷达在高精度测量模式下的牵引效果最佳,使IRST的搜索区域缩小为原来的1/180,时间节约效率为99.4%,加快了对目标的截获过程。节余的时间可用来对目标进行脉冲积累,当积累2个脉冲时,在其最大作用距离处所对应的探测概率由无积累时的0.5提升到0.985 3,从而显著提升其探测效能。     

关于方程Sx(n)=Sy(3)

对于正整数m、n(n≥ 3) ,设Sm(n)是第m个n角数 .证明了 :当n >6且n - 2是平方数时 ,方程Sx(n) =Sy(3)无正整数解 (x ,y) ;当n >6 ,2 n且n - 2非平方数时 ,该方程有无穷多组正整数解 (x,y) .     

测度按Kakutani距离的收斂

设可测空间(G,β)上的两个有限测度为m,n,令 (G,β)上概率测度全体记为M,当m,n∈M时,d_2退化为 定理 1 可测空间(G,β)上的概率测度全体M,按拟距离d(m, n)、d_2(m,n)、d_2(m,n)     

具有交货时间的单机作业调度问题的最优解

基于回溯思想的算法通过系统地搜索解空间可以得到具有交货时间的n个作业的单机作业调度问题的最优解.给出一种改进算法,使得算法的时间复杂度由O(n!)降低到O(nlgn).     

Markedness and its Interpretation in Language Use

Language markedness is a common phenomenon in languages, and is reflected from hearing, vision and sense, i.e. the variation in the three aspects such as phonology, morphology and semantics. This paper focuses on the interpretation of markedness in language use following the three perspectives, i.e. pragmatic interpretation, psychological interpretation and cognitive interpretation, with an aim to define the function of markedness.     

Features of Women's language

Language is a means of verbal communication. People use language to communicate with each other. In the society, no two speakers are exactly alike in the way of speaking. Some differences are due to age, gender, statue and personality. Above all, gender is one of the obvious reasons. The writer of this paper tries to describe the features of women＇s language from these perspectives： pronunciation, intonation, diction, subjects, grammar and discourse. From the discussion of the features of women＇s language, more attention should be paid to language use in social context. What＇s more, the linguistic phenomena in a speaking community can be understood more thoroughly.     

低渗透非均质砂岩油藏启动压力梯度研究

理论推导与室内实验相结合,建立了低渗透非均质砂岩油藏启动压力梯度确定方法。首先借助油藏流场与电场相似的原理,推导了非均质砂岩油藏启动压力梯度计算公式。其次基于稳定流实验方法,建立了非均质砂岩油藏启动压力梯度测试方法。结果表明:低渗透非均质砂岩油藏的启动压力梯度确定遵循两个等效原则。平面非均质油藏的启动压力梯度等于各级渗透率段的启动压力梯度关于长度的加权平均;纵向非均质油藏的启动压力梯度等于各渗透率层的启动压力梯度关于渗透率与渗流面积乘积的加权平均。研究成果可用于有效指导低渗透非均质砂岩油藏的合理井距确定,促进该类油藏的高效开发。     

On Tragic Consciousness In The Works By Ernest Hemingway

As an American modern novelist who were famous in the literary world, Hemingway was not a person who always followed the trend but a sharp observer. At the same time, he was a tragedy maestro, he paid great attention on existence, fate and end-result. The dramatis personae's tragedy of his works was an extreme limit by all means tragedy on the meaning of fearless challenge that failed. The beauty of tragedy was not produced on the destruction of life, but now this kind of value was in the impact activity. They performed for the reader about the tragedy on challenging for the limit and the death.     

Achieving Unusual States of Matter Under High Pressure

正The periodicity of the elements and the non-reactivity of the inner-shell electrons are two related principles of chemistry,rooted in the atomic shell structure.Within compounds,Group I elements,for example,invariably assume the+1 oxidation state,and their chemical properties differ completely from those of the p-block elements.These general rules govern our understanding of chemical structures and reactions.Using first principles calcula-     

Exchange-Correlation and Electronic Excitation Energies from Pairing Matrix Fluctuations

We have developed an adiabatic connection to formulate the ground-state exchange-correlation energy in terms of pairing matrix linear fluctuations.This formulation of the exchange-correlation energy opens a new channel for density functional approximations based on the many-body perturbation theory.We illustrate the potential of such approaches with an approximation based on the particle-particle Random Phase Approximation(pp-RPA).This re-     

Density Functional Theory for the Response of Periodic Systems to Electric Fields Based on the Vector Potential Approach

正The electronic and nuclear(structural/vibrational)response of 1D-3D nanoscale systems to electric fields gives rise to a host of optical,mechanical,spectral,etc.properties that are of high theoretical and applied interest.Due to the computational difficulty of treating such large systems it is convenient to model them as infinite and periodic(at least,in first approximation).The fundamental theoretical/computational problem in doing so is that     

On the Thermodynamic Limit for Responses to Static Electromagnetic Fields

For molecular systems,the quantum-mechanical treatment of their responses to static electromagnetic fields usually employs a scalar-potential treatment of the electric field and a vector-potential treatment of the magnetic field.Although the potential for each field separately is associated with the choice of an(unphysical)origin,the precise choice of the origin for the electrostatic field has little consequences for the results.This is different for the     

Call for Papers

<正>"The Journal of Shanghai Normal University:Mathematics"is published by Shanghai Normal University as regular issues of The Journal of Shanghai Normal University each year from 2014 in English.The editors-in-chief of the issues are professors Yuhao Cong and Maoan Han.The Journal of Shanghai Normal University was started in 1958 with     

Journal of Donghua University ( English Edition) Contents of Volume 31

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