关于G.G.GUNDERSEN 3CM＋1IM定理的改进

关于亚纯函数的唯一性问题,为了时一步经Nevanlinna四值定理的条件。我们在考虑重值的基础上,采用H.Ueda的方法,改进了3CM 1IM=4CM的结果,是对G.G.Gunder-sen有关结论的推广。     

公务员招聘的模糊决策模型

运用模糊数学理论与多目标决策模糊优化方法,在不考虑应聘人员的意愿及在考虑应聘人员意愿和用人部门的希望要求的情况下,择优按需录用.分别建立相应的模型.其结果令人满意,具有较强的可靠性和适用性.     

考虑全局风险均衡度的电力通信网最优安全链路选择方法

在智能电网环境下,电力通信网全新的运行管理模式需要系统间频繁的进行工作协同和业务传递,产生了信息传输链路选择的风险问题.因此,研究如何降低电力通信网业务通道风险,设计最优的通信业务安全链路选择方法,已成为领域内研究的热点问题.提出了一种新的考虑全局风险均衡度的电力通信网最优安全链路选择方法,即考虑了传输链路的最短性,又根据业务重要级别兼顾了路由选择的安全性.首先,给出了电力通信网业务安全链路选择模型,对业务安全链路选择问题进行了描述和数学建模;然后,采用模糊层次分析法(FAHP)构建了业务重要度评价和排序模型;最后,利用改进的迪杰斯特拉(Di.jkstra)算法和粒子群优化(PSO)算法对多目标优化问题进行了求解,计算出最优安全链路.仿真实验结果表明,所提方法可有效降低电力通信网的全局风险,具有一定的可用性和实效性.     

考虑资本闲置的多年时滞人力资本投入占用产出模型

人力资本理论强调的是由教育所新增的人力资本对经济增长的决定作用.为了规划与中国经济持续增长相适应的人力资本需求,建立了一个新颖的考虑资本闲置的多年时滞投入占用产出模型.为了考虑人力资本时滞长的特点以及人力资本占用的损耗补偿,在斯通人口投入产出模型和Leontief动态投入产出模型基础上,提出了多年时滞人力资本投入占用产出模型.将LDS模型推广为考虑资本闲置的多年时滞人力资本投入占用产出模型,以便考虑影响教育产出的外生因素,并推导出既适于产出增加也适于产出减少的正解.应用上,预测至2015年的各种教育水平人力资本的总量和部门需求,发现高级人力资本短缺和人才行业结构不合理是经济发展需要解决的重要问题.     

完全数据下Weibull分布参数的极大似然估计

在完全数据条件下对Weibull分布,分别使用Newton-Raphson算法、CM算法及修正的CM算法进行完全数据Weibull分布参数的极大似然估计计算,并且在得到相应的迭代公式后,进行随机模拟.从模拟结果来分析这三种算法在处理Weibull分布参数的极大似然估计的优良性.     

一道中考题的“前思后想”

<正>1试题及解析(2014年武汉中考题)如图1,在四边形ABCD中,AD=4,CD=3,∠ABC=∠ACB=∠ADC=45°,则BD的长为____.分析问题中要求的边BD和已知边和角度很难直接建立联系,此时我们可以考虑将图形进行变换,把BD放在△ABD中,依托等腰直角三角形ABC,将△ABD绕点A顺时针旋转90°至△ACM,此时△ADM也为等腰直角三角形,CM所在△CDM为直角三角形,且     

有偏估计在GPS快速定位数据处理中的应用研究

本文结合GPS双差观测方程的特点,针对其中的瓶颈问题,即整周模糊度的确定问题进行了研究.通过构造一种新的有偏估计--部分岭估计,有效地克服了模型的病态性,实际算例的结果表明该算法的计算速度快、正确率高.     

一道课外习题的多种证法和说明

<正>《中学生数学》2020年8月下(初中版)课外练习初二年级第3题:问题呈现已知如图1,在△ABC中,∠ACB=90°,CM⊥AB于点M,点D在BC上,且AC=CD=DB,AD与CM交于点E.求证:2AE=ED.本题看似繁复,实则简单.它是一直角边为另一直角边2倍的直角三角形,在正方形问题中经常出现,只不过把它从正方形分离出来,变化为直角三角形的问题.     

改进的灰色相似关联度模型在水质评价中的应用

基于灰色系统理论,提出一种改进的灰色相似关联度模型.通过计算评价对象的单因素隶属度矩阵,得到与各标准水质级别在不同评价指标处的灰色相似关联系数,最后根据灰色相似关联系数得到对各标准水质级别的综合隶属度.将此方法应用于延河流域的八个监测断面进行水质综合评价,取得了较好的结果.在此基础上进一步分析和改进了最大隶属度原则,在考虑最大隶属度的同时,综合考虑评价对象对各标准水质级别隶属度的分布,并制定了调整规则.     

不完全专家信息条件下基于区间数排序的群决策方法研究

专家根据自身的知识和经验,选取部分熟悉的评价指标进行评价,这类问题称为不完全专家信息条件下的群决策问题.这类问题目前主要利用基于模糊软集合的综合评价方法进行决策,但是方法无法考虑各类评价指标之间的权重信息,而直接利用模糊综合评价方法虽然考虑了权重信息,但其实质是将未打分的专家进行了主观上的赋值,可能导致决策失误.为此,提出将未提供的专家意见按照[0,1]区间数进行补全,实现将原始评价矩阵等价转换为区间数评价矩阵,从而使问题转化成为基于区间数决策矩阵的综合评价问题,并利用基于可能度的区间数排序方法实现了最终决策.最后,通过一个算例验证了方法的正确性和相比基于模糊软集合的综合评价方法的优越性.     

A generalization of the Oberwolfach problem and Ct‐factorizations of complete equipartite graphs

We consider the following generalization of the Oberwolfach problem: “At a gathering there are n delegations each having m people. Is it possible to arrange a seating of mn people present at s round tables (where can accommodate people and ) for k different meals so that each person has every other person not in the same delegation for a neighbour exactly once?”. We will concentrate on the case when all tables accommodate the same number t of people, give a complete solution for t even and settle most cases for t odd. © 2000 John Wiley & Sons, Inc. J Combin Designs 8: 42–49, 2000     

基于最大满意度的研究生录取问题

采用了模糊数学的知识和优化方法讨论解决了研究生的录取问题.首先对相关数据进行了合理的量化,然后定义了导师与学生之间的相互满意度,建立了择优录取和双向选择的优化模型,通过求解得到了理想的结果.     

研究生录取问题的优化模型与评述

针对2004年首届全国部分高校研究生数学建模竞赛的D题“研究生录取”问题的评卷情况,概括地介绍了这个问题的背景、评卷要点、答卷中存在的问题.并且给出了这个问题的一种有效的解决方法.     

Multi-objective decision analysis for competence-oriented project portfolio selection

This paper develops a multi-objective optimization model for project portfolio selection taking employee competencies and their evolution into account. The objectives can include economic gains as well as gains expressed in terms of aggregated competence increments according to pre-defined profiles. In order to determine Pareto-optimal solutions, the overall problem is decomposed into a master problem addressing the portfolio selection itself, and a slave problem dealing with a suitable assignment of personnel to the work packages of the selected projects over time. We provide an asymptotic approximation of the problem by a linearized formulation, which allows an efficient and exact solution of the slave problem. For the solution of the master problem, we compare the multi-objective metaheuristics NSGA-II and P-ACO. Experimental results both for synthetically generated test instances and for real-world test instances, based on an application case from the E-Commerce Competence Center Austria, are presented.     

基于变权系数的人才聘用模型

主要是将招聘模型化成标准的指派问题,运用匈牙利算法进行处理.模型一:通过设置一虚拟部门通过上述方法得到最优分配方案.模型二:构建了偏差函数与变权函数,同样构造成一指派问题,得到七种分配方案,然后从中找出最优解.此模型还可推广到多人应聘多个部门的模型.     

On λ-Fold Equipartite Oberwolfach Problem with Uniform Table Sizes

We consider the following generalization of the Oberwolfach problem:”At a gathering there are n delegations each having m people. Is it possible to arrange a seating of mn people present at s round tables T ₁, T ₂, . . . , T _s (where each T _i can accommodate \( t_i\geq3 \) people and \( \sum t_i = mn \)) for k different meals so that each person has every other person not in the same delegation for a neighbor exactly λ times?” For λ= 1, Liu has obtained the complete solution to the problem when all tables accommodate the same number t of people. In this paper, we give the completesolution to the problem for \( \lambda\geq2 \) when all tables have uniform sizes t.     

Peer Interaction in Science Concept Development and Problem Solving

Cooperative learning is commonly advocated as an effective instructional strategy in classrooms. Years of research support this recommendation. Recently, however, cognitive researchers and theorists suggest that peer group work may possibly enhance concept development and problem solving. The effectiveness of group work, including peer tutoring, cooperative learning, and peer collaboration, may be explained using several theoretical perspectives. Piaget theorized that the importance of peers comes from their ability to share ideas and initiate the equilibration process in individuals. Vygotsky argued that learning takes place in social contexts only to be internalized at a later time. He proposed a “zone of proximal development” to describe the difference between a student's ability to solve a problem alone and with the help of a more knowledgeable person. Researchers focusing on both theoretical positions argue that results support both theories. Additionally, researchers suggest that peer collaboration may enhance concept development and problem solving ability. Recommendations are made for incorporating effective peer learning strategies into instruction.     

On a variation of the Oberwolfach problem

We consider the following “spouse-avoiding” variant of the Oberwolfach problem (briefly NOP): “At a gathering there are n couples. Is it possible to arrange a seating for the 2n people present at s round tables T₁,T₂,…,T_s (where T_i can accomodate k_i ? 3 people and Σk_i=2n) for m different meals so that each person has every other person except his spouse for a neighbour exactly once?” We prove several results concerning the existence of solutions to NOP. In particular, we settle the cases when the tables accomodate the same “small” number of people or when there are only two tables one of them accomodating a “small” number of people or when the total number of people is “small”.     

The effect of strengthened linear formulations on improving the lower bounds for the part families with precedence constraints problem

The part families with precedence constraints problem (PFP) arises in industry, when flexible manufacturing systems are designed within a group technology approach. The aim of this problem is to arrange parts into families by imposing capacity constraints, concerning both the number of parts and processing times, besides precedence constraints in the building of families.     

Robust competence assessment for job assignment

Allocating the right person to a task or job is a key issue for improving quality and performance of achievements, usually addressed using the concept of “competences”. Nevertheless, providing an accurate assessment of the competences of an individual may be in practice a difficult task. We suggest in this paper to model the uncertainty on the competences possessed by a person using a possibility distribution, and the imprecision on the competences required for a task using a fuzzy constraint, taking into account the possible interactions between competences using a Choquet integral. As a difference with comparable approaches, we then suggest to perform the allocation of persons to jobs using a robust optimisation approach, allowing to minimise the risk taken by the decision maker. We first apply this framework to the problem of selecting a candidate within n for a job, then extend the method to the problem of selecting c candidates for j jobs (c ? j) using the leximin criterion.