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1、PROBLEMA:TheKeep-Right-Except-To-PassRuleIncountrieswheredrivingautomobilesontherightistherule(thatis,USA,ChinaandmostothercountriesexceptforGreatBritain,Australia,andsomeformerBritishcolonies),multi-lanefreewaysoftenemployerulethatrequiresdriverstodriveintherig
2、ht-mostlaneunlesstheyarepassinganothervehicle,inwhichcasetheymoveonelanetotheleft,pass,andreturntotheirformertravellane.Buildandanalyzeamathematicalmodeltoanalyzetheperformanceofthisruleinlightandheavytraffic.Youmaywishtoexaminetradeoffsbetweentrafficflowandsafe
3、ty,theroleofunder-orover-postedspeedlimits(thatis,speedlimitsthataretoolowortoohigh),and/orotherfactorsthatmaynotbeexplicitlycalledoutinthisproblemstatement.Isthisruleeffectiveinpromotingbettertrafficflow?Ifnot,suggestandanalyzealternatives(toineludepossiblynoru
4、leofthiskindatall)thatmightpromotegreatertrafficflow,safety,and/orotherfactorsthatyoudeemimportant.Incountrieswheredrivingautomobilesontheleftisthenorm,arguewhetherornotyoursolutioncanbecarriedoverwithasimplechangeoforientation,orwouldadditionalrequirementsbenee
5、ded.Lastly,theruleasstatedabovereliesuponhumanjudgmentforcompliance.Ifvehicletransportationonthesameroadwaywasfullyunderthecontrolofanintelligentsystem-eitherpartoftheroadnetworkorimbeddedinthedesignofallvehiclesusingtheroadway-towhatextentwouldthischangetheresu
6、ltsofyourearlieranalysis?问题A:除非超车否则靠右行驶的交通规则在一些汽车靠右行驶的国家（比如美国,中国等等），多车道的高速公路常常遵循以下原则:司机必须在最右侧驾驶,除非他们正在超车,超车时必须先移到左侧车道在超车后再返回。建立数学模型来分析这条规则在低负荷和高负荷状态下的交通路况的表现。你不妨考察一下流量和安全的权衡问题，车速过高过低的限制,或者这个问题陈述中可能出现的其他因素。这条规则在提升车流量的方面是否有效？如果不是，提出能够提升车流量、安全系数或其他因素的替代品（包括完全没有这种规律
7、）并加以分析。在一些国家,汽车靠左形式是常态,探讨你的解决方案是否稍作修改即可适用，或者需要一些额外的需要。最后，以上规则依赖于人的判断,如果相同规则的交通运输完全在智能系统的控制下，无论是部分网络还是嵌入使用的车辆的设计，在何种程度上会修改你前面的结果？PROBLEMB:CollegeCoachingLegendsSportsIllustrated,amagazineforsportsenthusiasts,islookingforthe"bestalltimecollegecoach"maleorfemalefor
8、thepreviouscentury.BuildamathematicalmodeltochooseXhebestcollegecoachorcoaches(pastorpresent)fromamongeithermaleorfemalecoachesinsuchsportsascollegehockeyorfieldhocke
