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悬赏园豆：30
[已关闭问题]
关闭于 2009-02-11 09:52

**这是我正在进行的国际 **MCM（The Mathematical Contest in Modeling）的第一题，大家见仁见智呀~

**PROBLEM A: ****Designing a Traffic Circle**

Many
cities and communities have traffic circles—from large ones with many
lanes in the circle (such as at the Arc de Triomphe in Paris and the
Victory Monument in Bangkok) to small ones with one or two lanes in the
circle. Some of these traffic circles position a stop sign or a yield
sign on every incoming road that gives priority to traffic already in
the circle; some position a yield sign in the circle at each incoming
road to give priority to incoming traffic; and some position a traffic
light on each incoming road (with no right turn allowed on a red
light). Other designs may also be possible.

The goal of this problem is to use a model to determine how best to
control traffic flow in, around, and out of a circle. State clearly the
objective(s) you use in your model for making the optimal choice as
well as the factors that affect this choice. Include a Technical
Summary of not more than two double-spaced pages that explains to a
Traffic Engineer how to use your model to help choose the appropriate
flow-control method for any specific traffic circle. That is, summarize
the conditions under which each type of traffic-control method should
be used. When traffic lights are recommended, explain a method for
determining how many seconds each light should remain green (which may
vary according to the time of day and other factors). Illustrate how
your model works with specific examples.