2014 HiMCM A题特等奖学生论文下载4823

2014 HiMCM A题特等奖学生论文下载4823

 

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论文摘要如下：

17th Annual High School Mathematical Contest in Modeling (HiMCM)
Summary Sheet
(Please attach a copy of this page to your Solution Paper.)
Team Control
Number:
4823
Problem Chosen: A
Please type a summary of your results on this page. Please remember not to
include the name of your school, advisor, or team members on this page.

In today’s global economy, efficiency counts. In economic systems, where large volumes of information are exchanged at lightning speed, the smallest inefficiencies can have drastic consequences for the productivity and success of the system as a whole. In logistics, corporations engineer their products’ design, production and distribution with these small inefficiencies in mind, as an infinitesimal additional cost for one unit can blossom into the difference between profit and bankruptcy when the product is manufactured in large quantities. Similarly, on Wall Street, stockbrokers harness the power of supercomputers to make trades as quickly as possible and obtain an edge. Just as cost effects industry, a minimal temporal disadvantage for a trader can create a devastating financial loss. Now, more than ever, systems of this kind must be engineered with considerations in mind to eliminate the crippling effects of inefficiency.

Our group was tasked with optimizing a system of just this sort: commuter rail. Each day, corporations rely on commuter trains to bring their employees to the workplace, making commuter rail a crucial form of transportation. Specifically, we focused on the exit of the train station as an area for improvement, for this is traditionally a bottleneck for the speed at which commuters can proceed to work

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