数学建模社区-数学中国
标题: 2009年MCM题目 [打印本页]
作者: 欢欣 时间: 2009-2-6 09:30
标题: 2009年MCM题目
2009 Contest Problems MCM PROBLEMS
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.
PROBLEM B: Energy and the Cell Phone
This question involves the “energy” consequences of the cell phone revolution. Cell phone usage is mushrooming, and many people are using cell phones and giving up their landline telephones. What is the consequence of this in terms of electricity use? Every cell phone comes with a battery and a recharger.
Requirement 1
Consider the current US, a country of about 300 million people. Estimate from available data the number H of households, with m members each, that in the past were serviced by landlines. Now, suppose that all the landlines are replaced by cell phones; that is, each of the m members of the household has a cell phone. Model the consequences of this change for electricity utilization in the current US, both during the transition and during the steady state. The analysis should take into account the need for charging the batteries of the cell phones, as well as the fact that cell phones do not last as long as landline phones (for example, the cell phones get lost and break).
Requirement 2
Consider a second “Pseudo US”—a country of about 300 million people with about the same economic status as the current US. However, this emerging country has neither landlines nor cell phones. What is the optimal way of providing phone service to this country from an energy perspective? Of course, cell phones have many social consequences and uses that landline phones do not allow. A discussion of the broad and hidden consequences of having only landlines, only cell phones, or a mixture of the two is welcomed.
Requirement 3
Cell phones periodically need to be recharged. However, many people always keep their recharger plugged in. Additionally, many people charge their phones every night, whether they need to be recharged or not. Model the energy costs of this wasteful practice for a Pseudo US based upon your answer to Requirement 2. Assume that the Pseudo US supplies electricity from oil. Interpret your results in terms of barrels of oil.
Requirement 4
Estimates vary on the amount of energy that is used by various recharger types (TV, DVR, computer peripherals, and so forth) when left plugged in but not charging the device. Use accurate data to model the energy wasted by the current US in terms of barrels of oil per day.
Requirement 5
Now consider population and economic growth over the next 50 years. How might a typical Pseudo US grow? For each 10 years for the next 50 years, predict the energy needs for providing phone service based upon your analysis in the first three requirements. Again, assume electricity is provided from oil. Interpret your predictions in term of barrels of oil.
作者: victoriajh 时间: 2009-2-6 09:47
非常感谢~~~~~~~~
作者: ray11 时间: 2009-2-6 09:51
谢谢了，终于有了
作者: lzt60 时间: 2010-1-15 15:30
O(∩_∩)O谢谢O(∩_∩)O谢谢O(∩_∩)O谢谢
作者: tfnbalive07 时间: 2010-1-24 14:08
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作者: tfnbalive07 时间: 2010-1-24 14:09
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作者: tfnbalive07 时间: 2010-1-24 14:10
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作者: tfnbalive07 时间: 2010-1-24 14:10
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作者: tfnbalive07 时间: 2010-1-24 15:09
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作者: tfnbalive07 时间: 2010-1-24 15:09
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作者: tfnbalive07 时间: 2010-1-24 15:10
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作者: tfnbalive07 时间: 2010-1-24 15:11
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作者: tfnbalive07 时间: 2010-1-24 15:12
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作者: tfnbalive07 时间: 2010-1-24 15:14
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作者: tfnbalive07 时间: 2010-1-24 15:17
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作者: tfnbalive07 时间: 2010-1-24 15:40
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作者: Pearljee 时间: 2010-1-25 11:00
O(∩_∩)O谢谢O(∩_∩)O谢谢O(∩_∩)O谢谢
作者: Pearljee 时间: 2010-1-25 11:00
O(∩_∩)O谢谢O(∩_∩)O谢谢O(∩_∩)O谢谢
作者: gemengjiao 时间: 2010-1-25 11:31
C题没的吗？还有为什么老说我帖子不够长呀？？？？？？
作者: guoyw2010 时间: 2010-2-4 11:58
不错！谢谢！！！！！！！！！！！！！！！！！！！
作者: bokzhang 时间: 2010-2-5 09:15
下拉~~~谢谢~~很好很强大~~呵呵~辛苦啦~~~
作者: xiyou321 时间: 2010-5-24 09:19
感 谢 ing...... ding ! ! ! !
作者: jiayougao 时间: 2011-1-15 00:06
hahoahaoahoahaohh
作者: 林小涵 时间: 2011-2-7 18:07
十分感谢啊！
作者: 林小涵 时间: 2011-2-7 18:07
多多支持下！
作者: 林小涵 时间: 2011-2-7 18:08
再帮忙顶一下
作者: 牛皓 时间: 2011-2-8 14:04
~~~~~~~~~~~~~~~
作者: 文素 时间: 2011-2-9 09:11
顶顶加体力
作者: zhangchenyang.z 时间: 2012-1-13 16:56
谢谢，谢谢，非常感谢
作者: alair009 时间: 2012-1-20 17:08
帮个忙，去下载下这个，我需要体力http://www.madio.net/thread-131123-1-1.html好人啊2098787谢谢啊21637
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