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2014 MCM
Problem A: The Keep-Right-Except-To-PassRule
In countries where driving automobiles onthe right is the rule (that is, USA, China and
most other countries except for GreatBritain, Australia, and some former British
colonies), multi-lane freeways often employa rule that requires drivers to drive in the
right-most lane unless they are passinganother vehicle, in which case they move one
lane to the left, pass, and return to theirformer travel lane.
Build and analyze a mathematical model toanalyze the performance of this rule in light
and heavy traffic. You may wish to examinetradeoffs 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 factors that may not beexplicitly called out in this problem statement.
Is this rule effective in promoting bettertraffic flow? If not, suggest and analyze
alternatives (to include possibly no ruleof this kind at all) that might promote greater
traffic flow, safety, and/or other factorsthat you deem important.
In countries where driving automobiles onthe left is the norm, argue whether or not your
solution can be carried over with a simplechange of orientation, or would additional
requirements be needed.
Lastly, the rule as stated above reliesupon human judgment for compliance. If vehicle
transportation on the same roadway wasfully under the control of an intelligent system –
either part of the road network or imbeddedin the design of all vehicles using the
roadway – to what extent would this changethe results of your earlier analysis?
Problem B: College Coaching Legends
Sports Illustrated, a magazine for sportsenthusiasts, is looking for the “best all time
college coach” male or female for theprevious century. Build a mathematical model to
choose the best college coach or coaches(past or present) from among either male or
female coaches in such sports as collegehockey or field hockey, football, baseball or
softball, basketball, or soccer. Does itmake a difference which time line horizon that you
use in your analysis, i.e., does coachingin 1913 differ from coaching in 2013? Clearly
articulate your metrics for assessment.Discuss how your model can be applied in general
across both genders and all possiblesports. Present your model’s top 5 coaches in each of
3 different sports.
In addition to the MCM format and requirements,prepare a 1-2 page article for Sports
Illustrated that explains your results andincludes a non-technical explanation of your
mathematicalmodel that sports fans will understand.