2013數(shù)學(xué)國際賽參考模版

1、第二屆“認(rèn)證杯”數(shù)學(xué)中國數(shù)學(xué)建模國際賽承諾書仔細(xì)閱讀了第二屆“認(rèn)證杯”數(shù)學(xué)中國數(shù)學(xué)建模國際賽的競(jìng)賽規(guī)則。完全明白，在競(jìng)賽開始后參賽隊(duì)員不能以任何方式（包括、電子郵件、網(wǎng)上咨詢等）與隊(duì)外的任何人（包括指導(dǎo)教師）、與賽題有關(guān)的問題。知道，別人的成果是競(jìng)賽規(guī)則的, 如果別人的成果或其他公開的資料（包括網(wǎng)上查到的資料），必須按照規(guī)定的參考文獻(xiàn)的表述方式在正文處和參考文獻(xiàn)中明確列出。鄭重承諾，嚴(yán)格遵守競(jìng)賽規(guī)則，以保證競(jìng)賽的公正、公平性。競(jìng)賽規(guī)則的行為，受到嚴(yán)肅處理。允許數(shù)學(xué)中站()公布，以供網(wǎng)友之間學(xué)習(xí)交流，數(shù)學(xué)中站以非商業(yè)目的的交流不需要提前取得的同意。的參賽隊(duì)號(hào)為：選擇的題目是：參賽隊(duì)員 (簽名)

2、：隊(duì)員 1：隊(duì)員 2：隊(duì)員 3：?jiǎn)T (簽名)：參賽隊(duì)第二屆“認(rèn)證杯”數(shù)學(xué)中國數(shù)學(xué)建模國際賽頁參賽隊(duì)伍的參賽隊(duì)號(hào)：（請(qǐng)各個(gè)參賽隊(duì)提前填寫好）：競(jìng)賽（由競(jìng)賽送至評(píng)委團(tuán)前）：競(jìng)賽評(píng)閱（由競(jìng)賽評(píng)委團(tuán)評(píng)閱前進(jìn)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