2013数学国际赛参考模版

1、第二届“认证杯”数学中国数学建模国际赛承诺书仔细阅读了第二届“认证杯”数学中国数学建模国际赛的竞赛规则。完全明白，在竞赛开始后参赛队员不能以任何方式（包括、电子邮件、网上咨询等）与队外的任何人（包括指导教师）、与赛题有关的问题。知道，别人的成果是竞赛规则的, 如果别人的成果或其他公开的资料（包括网上查到的资料），必须按照规定的参考文献的表述方式在正文处和参考文献中明确列出。郑重承诺，严格遵守竞赛规则，以保证竞赛的公正、公平性。竞赛规则的行为，受到严肃处理。允许数学中站()公布，以供网友之间学习交流，数学中站以非商业目的的交流不需要提前取得的同意。的参赛队号为：选择的题目是：参赛队员 (签名)

2、：队员 1：队员 2：队员 3：员 (签名)：参赛队第二届“认证杯”数学中国数学建模国际赛页参赛队伍的参赛队号：（请各个参赛队提前填写好）：竞赛（由竞赛送至评委团前）：竞赛评阅（由竞赛评委团评阅前进行）：TITLEAbstract:Key words:Contentsroduction3Why does toll way collects toll?3Toll modes3Toll collection methods31.1.4 Annoyanceoll plazas3The origin of the toll way problem3Queuing theory4The Descript

3、ion of Problem5How do we approximate the whole course of paying toll?5How do we define the optimal configuration?5From theFrom theof motorist5of the toll plaza62.2.3 Compromise62.3 Overall optimization and local optimization62.4 The differenin weights and sizes of vehicles72.5 What if there is no da

4、ta available?73. Ms73.1 Basic M.73.1.1 Symbols and Definitions73.1.2 Amptions83.1.3 The Foundation of M.93.1.4 Solution and Result113.1.5ysis of the Result113.1.6 Streng3.2 Improved Mnd Weakness13.143.2.1 Extra Symbols 143.2.2 Additional Amptions143.2.3 The Foundation of M 143.2.4 Solution and Resul

5、t153.2.5ysis of the Result183.2.6 Strengnd Weakness194.s19s of the problem194.14.2 Methods used in our ms194.3 Application of our ms195. Future Work195.1 Another m19Another layout of toll plaza23The newly- adopted charging methods236. Referen.237. Appendix23Programs and codes24I.roductionIn order to

6、 indicate the origin of the toll way problems, the following background is worth mentioning.1.11.21.31.41.51.6II. The Description of the Problem2.1 How do we approximate the whole course of paying toll?2.2 How do we define the optimal configuration?From theFrom theCompromise:of motorist:of the toll

7、plaza:2.3 The local optimization and the overall optimizationVirtually:2.4 The differenin weights and sizes of vehicles2.5 What if there is no data available?III. Ms3.1 Basic M3.1.1 Terms, Definitions and SymbolsThe signs and definitions are mostly generated from queuing theory.3.1.2 Amptions3.1.3 T

8、he Foundation of M1) The utility functionThe cost of toll plaza:The loss of motorist:The weight of each aspect:Compromise:2) TheegrogrammingAccording to queuing theory, we can calculate the sistical properties as follows.3) The overall optimization and the local optimizationThe overall optimization:

9、 The local optimization:The optimal number of tollbooths:3.1.4 Solution and ResultThe solution of theResults:egrogramming:3.1.5ysis of the ResultLocal optimization and overall optimization:Sensitivity: The result is quite sensitive to the change of the three parametersTrend: Comparison:3.1.6 Strengn

10、d WeaknessStrength: In despite of this, the mhas provedt .Moreover, weis fit for, such ase drawn some usefuls about. The mWeakness: This m just what we shouldjust apps to. As wee sed,.tsn the improved m.3.2 Improved M3.2.1 Extra SymbolsSigns and definitions indicated above are still valid. Here are

11、some extra signs and definitions.3.2.2 Additional AmptionsAmptions concerning the anterior pros are the same as the Basic M.3.2.3 The Foundation of M1) How do we determine the optimal number?As weefrom the Basic M,3.2.4 Solution and Result1) Simulation algorithmBased on theysis above, we design our

12、simulation arithmetic as follows.Step1: Step2: Step3:Step4: Step5: Step6: Step7: Step8: Step9:2) Flow chartThe figure below is the flow chart of the simulation.3) Solution3.2.5ysis of the Result3.2.6 Strengnd WeaknessStrength: The Improved M The result seems to declareaims to make up for the neglect of.t this mis more reasonablen the BasicMand muore effective. Thus the mn the existing design.is still an approximate on a large scale. ThisWeakness:has doomed to limit the applications of it.IV.s of the problems4.14.2 Methods used in our ms4.3 Appli