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1、2014 Contest ProblemsMCM PROBLEMSPROBLEM A:The Keep-Right-Except-To-Pass RuleIn countries where driving automobiles on the right is the rule (that is, USA, China and most other countries except for Great Britain, Australia,and some former British colonies), multi
2、-lane freeways often employ a rule that requires drivers to drive in the right-most lane unless they are passing another vehicle, in which case they move one lane to the left, pass, and return to theirformer travel lane.Build and analyze a mathematical model to a
3、nalyze the performance of this rule in light and heavytraffic. You may wish to examine tradeoffs between traffic flow and safety, the role of under- or over-posted speed limits (that is, speed limits that are too low or too high), and/or other factorsthat may not
4、 be explicitly called out in this problem statement. Is this rule effective in promotingbetter traffic flow? If not, suggest and analyze alternatives (to include possibly no rule of this kind at all) that might promote greater traffic flow, safety, and/or other f
5、actors that you deem important.In countries where driving automobiles on the left is the norm, argue whether or not your solution can be carried over with a simple change of orientation, or would additional requirements be needed. Lastly, the rule as stated abov
6、e relies upon human judgment for compliance. If vehicle transportation on the same roadway was fully under the control of an intelligent system – either part of the road network or imbedded in the design of all vehicles using the roadway – to what extent would th
7、is change the results of your earlier analysis? PROBLEM B:College Coaching LegendsSports Illustrated, a magazine for sports enthusiasts, is looking for the “best all time collegecoach” male or female for the previous century. Build a mathematical model to choose
8、 the bestcollege coach or coaches (past or present) from among either male or female coaches in such sports as college hockey or field hockey, football, baseba
