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Urgent! 20 14 American college students' mathematical modeling contest MCM contest A artificial professional translation
I also do mathematical modeling, and I feel that his translation is quite normal.

Question A: Traffic rules for driving on the right unless overtaking.

In some countries where cars drive on the right (such as the United States and China). ), multi-lane highways often follow the following principles: drivers must drive on the far right, unless overtaking, they must first move to the left lane and then return.

The mathematical model is established, and the performance of the rule under low load and high load traffic conditions is analyzed. You might as well look at the trade-off between traffic and safety, the limit of too high and too low speed, or other factors that may appear in this statement. Is this rule effective in improving traffic flow? If not, propose and analyze alternative schemes that can improve traffic flow, safety factor or other factors (including no such laws at all).

In some countries, it is normal for cars to drive on the left. Explore whether your solution can be applied with minor modifications or requires some additional requirements.

Finally, the above rules depend on people's judgment. If the traffic with the same rules is completely controlled by the intelligent system, to what extent will you modify your previous achievements, whether it is the design of some networks or the design of embedded vehicles?

Sports Illustrated is a magazine specially for sports lovers, and has been looking for the best male and female university coaches since the last century. Establish a mathematical model to choose the following items: campus hockey, rugby, baseball, softball, basketball and football, and the best college male and female coaches (past or present). Is the time sequence a factor, for example, is the coach of 19 13 different from the coach of 20 13? Clearly express the criteria you choose. Discuss how your model can be widely used, such as all sexes and sports. Show the top five coaches in three sports in your model. In addition to the format and requirements of mcm, prepare a 1-2 page article for Sports Illustrated to explain your results. Of course, it should include a non-technical explanation of your model so that all sports fans can understand it.