邯郸学院本科毕业论文题目全国大学生数学建模竞赛常用建模方法探讨学生柴云飞指导教师闫峰教授年级2009级本科专业数学与应用数学二级学院数学系（系、部）邯郸学院数学系2013年6月郑重声明本人的毕业论文是在指导教师闫峰的指导下独立撰写完成的．如有剽窃、抄袭、造假等违反学术道德、学术规范和侵权的行为，本人愿意承担由此产生的各种后果，直至法律责任，并愿意通过网络接受公众的监督．特此郑重声明．论文经“中国知网”论文检测系统检测，总相似比为5.80%．毕业论文作者（签名）：年月日全国大学生数学建模竞赛常用建模方法探讨摘要全国大学生数学建模竞赛作为全国高校规模最大的基础性学科竞赛，越来越受到人们的重视，所以建模竞赛的方法也就变得尤为重要．随着竞赛的不断发展，赛题的开放性逐步增大，一道赛题可用多种解法，各种求解的算法有时会相互融合，同时也在向大规模数据处理方向发展，这就对选手的能力提出了更高的要求．由于建模方法种类众多，无法一一介绍，所以本文主要介绍了四种比较常用的数学建模竞赛方法，包括微分与差分方程建模方法、数学规划建模方法、统计学建模方法、图论方法，并结合历年赛题加以说明．关键词：数学建模竞赛统计学方法数学规划图论ICommonlyUsedModelingMethodofChinaUndergraduateMathematicalContestinModelingChaiyunfeiDirectedbyProfessorYanfengABSTRACTTheChinaundergraduatemathematicalcontestinmodelinghasbeenattentionbymoreandmorepeopleasabasicsubjectofthelargestnationalcollegecompetition.Themethodofmodelingcompetitionhasbecomemoreandmoreimportant.Openquestionsgraduallyincreasedwiththedevelopmentofcompetition.Mostofthegamescanbesolvedbylotsofsolutions.Sometimesthesemethodscanbeusedtogether.Andthereisalsoalotofdatawhichputsforwardhigherrequirementontheabilityofplayers.Themodelingmethodsistoonumeroustomention,sothisarticlemainlyfourkindsCommonlyusedmodelingmethodareintroducedthatdifferentialanddifferenceequationsmodelingmethod,Mathematicalprogrammingmodelingmethod,Statisticsmodelingmethod,graphtheoryandinterpretswithcalendaryear’stestquestions.KEYWORDS：MathematicalcontestinmodelingStatisticsmethodMathematicalprogrammingGraphtheoryII目录摘要..............................................................................................................................................I英文摘要........................................................................................................................................II前言.............................................................................................................................................11微分方程与差分方程建模..........................................................................................................21.1微分方程建模...................................................................................................................21.1.1微分方程建模的原理和方法...............................................................................21.1.2微分方程建模应用实例.......................................................................................31.2差分方程建模..................................................................................................................41.2.1差分方程建模的原理和方法................................................................................41.2.2差分方程建模应用实例........................................................................................52数学规划建模.........................................................................................................................
