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标题: 2001年美国中学生数学建模试题及特等奖论文下载 HiMCM Outstanding Papers [打印本页]
作者: huashi3483    时间: 2008-10-15 01:55
标题: 2001年美国中学生数学建模试题及特等奖论文下载 HiMCM Outstanding Papers
January 2001 HiMCM Problem A
Design of an Airline Terminal

Problem:The design of airline terminals varies widely. The sketches below show airline terminals from several cities.
The designs are quite dissimilar.
Some involve circular arcs; others are rectangular; some are quite irregular. Which is optimal for operations? Develop a mathematical model for airport design and operation.
Use your model to argue for the optimality of your specified design. Explain how it would operate。

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Boston-Logan International


2001_12.gif
Munich International

2001_13.gif

Charlotte/Douglas International


2001_14.gif
Ronald Reagan Washington National

2001_15.gif

Pittsburgh International

January 2001 HiMCM Problem B
Forest Service
Problem:Your team has been approached by the Forest Service to help allocate resources to fight wildfires.
In particular, the Forest Service is concerned about wildfires in a wilderness area consisting of small trees and brush in a park shaped like a square with dimensions 80 km on a side.
Several years ago, the Forest Service constructed a network of north-south and east-west firebreaks that form a rectangular grid across the interior of the entire wilderness area.
The firebreaks were built at 5 km intervals
Wildfires are most likely to occur during the dry season, which extends from July through September in this particular region.
During this season, there is a prevailing westerly wind throughout the day.
There are frequent lightning bursts that cause wildfires
The Forest Service wants to deploy four fire-fighting units to control fires during the next dry season.
Each unit consists of 10 firefighters, one pickup truck, one dump truck, one water truck (50,000 liters), and one bulldozer (w/ truck and trailer).
The unit has chainsaws, hand tools, and other fire-fighting equipment.
The people can be quickly moved by helicopter within the wilderness area, but all the equipment must be driven
via the existing firebreaks.
One helicopter is on standby at all times throughout
the dry season
Your task is to determine the best distribution of fire-fighting units within the wilderness area.
The Forest Service is able to set up base camps for those units at sites anywhere within the area.
In addition, you are asked to prepare a damage assessment forecast.
This forecast will be used to estimate the amount of wilderness likely to be burned by fire as well as acting as a mechanism for helping the Service determine when additional fire-fighting units need to be brought in from elsewhere.

2001 january HiMCM Outstanding Papers .pdf

147.27 KB, 下载次数: 397, 下载积分: 体力 -2 点
作者: huashi3483    时间: 2008-10-15 01:58

November 2001 HiMCM Problem A
Adolescent Pregnancy


Problem:

You are working temporarily for the Department of Health and Environmental Control. The director is concerned about the issue of teenage pregnancy in their region. You have decided that your team will analyze the situation and determine if it is really a problem in this region. You gather the following 2000 data.

County

Age >>

10-14> >

Pregnant> >

Age 15-17> >

Pregnant> >

Age 18- 19> >

Pregnant> >

10-14 births> >

15-17> >

births> >

18-19> >

births> >

10-14> >

births-unmarried> >

15-17 birth-> >

unmarried

18-19

births-unmarried

1

29

350

571

17

281

437

16

164

193

2

24

303

567

13

206

466

13

151

233

3

40

422

691

29

307

546

28

251

366

4

21

201

356

18

184

326

15

137

180

5

16

156

357

11

109

254

10

99

161

6

44

523

970

33

442

803

32

293

396

7

17

263

434

9

201

345

7

113

168

8

23

330

427

16

256

444

14

160

210

9

13

123

221

10

113

199

9

78

106

10

41

467

950

24

446

686

22

279

331

11

28

421

713

18

343

615

15

219

328

12

9

179

311

8

145

261

7

114

162

1998

Age       Pregnancies            Births

10-14               320                  231

15-17               4041                3222

18-19               6387                5164

1999

Age         Pregnancies            Births

10-14               309                  208

15-17               3882                3048

18-19               6714                5391

Build a mathematical model and use it to determine if there is a problem or not. Prepare a article to the newspaper that highlights your result in a novel mathematical relationship or comparison that will capture then attention of the youth.

 

November 2001 HiMCM Problem B
Skyscrapers

 

Problem:

Skyscrapers vary in height , size (square footage), occupancy rates, and usage. They adorn the skyline of our major cities. But as we have seen several times in history, the height of the building might preclude escape during a catastrophe either human or natural (earthquake, tornado, hurricane, etc). Let's consider the following scenario. A building (a skyscraper) needs to be evacuated. Power has been lost so the elevator banks are inoperative except for use by firefighters and rescue personal with special keys. Build a mathematical model to clear the building within X minutes. Use this mathematical model to state the height of the building, maximum occupation, and type of evacuation methods used. Solve your model for X = 15 minutes, 30 minutes, and 60 minutes.

 

2001 2 HiMCM Outstanding Papers .pdf

178.25 KB, 下载次数: 104, 下载积分: 体力 -2 点
作者: pandorajnu    时间: 2009-1-7 12:14
已经感觉像是大学的题目了！厉害啊
作者: laoma911    时间: 2009-1-18 18:59
~~想下forest service的outstanding,结果下来没注意看，以为全是Design of an Airline Terminal的
又下了另一个~~~~矩阵币啊
作者: yanghongyu    时间: 2009-8-14 22:10
好资源 值得下载   谢谢你
作者: yanghongyu    时间: 2009-8-14 22:11
真的谢谢你    不过我更需要矩阵币
作者: mathzjl    时间: 2009-8-14 22:41
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作者: djggjd    时间: 2010-1-28 10:52
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作者: mazz    时间: 2010-2-7 22:50
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作者: mazz    时间: 2010-2-7 23:03
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作者: 小牛犊    时间: 2010-2-8 13:41
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作者: ljyxn    时间: 2011-7-4 10:52
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作者: xitudan    时间: 2011-11-3 19:16
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作者: 大笨蛋sun    时间: 2011-11-14 10:41
谢谢分享哈，小女子大榭
作者: sucywang    时间: 2011-11-20 09:25
好棒啊！！！～
作者: wan353610187    时间: 2012-2-4 19:29
为了加分，不择手段………………

psb1.gif (886.15 KB, 下载次数: 141)

psb1.gif

作者: wan353610187    时间: 2012-2-4 19:29
  1. text(X(ii),Y(ii),peaks(X(ii),Y(ii)),'极小值点');
  2. help subs
  3. [X,Y] = meshgrid(-3:.125:3); Z = peaks(X,Y); plot3(X,Y,Z);
  4. [cc,ii]=max(Z(:));
  5. plot3(X(ii),Y(ii),peaks(X(ii),Y(ii)),'b*');
复制代码
作者: wan353610187    时间: 2012-2-4 19:30
text(X(ii),Y(ii),peaks(X(ii),Y(ii)),'极小值点');
help subs
[X,Y] = meshgrid(-3:.125:3); Z = peaks(X,Y); plot3(X,Y,Z);
[cc,ii]=max(Z();
plot3(X(ii),Y(ii),peaks(X(ii),Y(ii)),'b*');
作者: hi2    时间: 2012-2-17 10:27
很给力啊，加油哈哈
作者: l_chenusa    时间: 2012-11-13 07:40
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作者: tczj92    时间: 2013-5-24 22:09
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作者: tczj92    时间: 2013-5-24 22:10
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作者: tczj92    时间: 2013-5-24 22:13
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作者: mltj01    时间: 2013-5-24 22:14
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作者: 李小洋    时间: 2013-11-6 08:51
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作者: 李小洋    时间: 2013-11-6 08:53
刚才下错了。。。
作者: KRIS2011    时间: 2013-11-7 19:17
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作者: zjwcyd    时间: 2013-12-30 20:16
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作者: 赧然    时间: 2014-1-31 09:16
感谢楼主，辛苦鸟~
作者: 赧然    时间: 2014-1-31 11:37
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作者: helmesy    时间: 2015-10-28 23:19
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作者: quuhang    时间: 2016-6-4 20:16
已下载，非常感谢么么哒
作者: Chadwick    时间: 2016-10-16 14:12
非常感谢 楼主
作者: a554565692    时间: 2016-10-25 22:22
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作者: bingcheers    时间: 2016-11-10 15:06
http://www.madio.net/thread-17961-1-1.html
作者: 657242292    时间: 2018-1-20 01:21
谢谢楼主噢！！！！！！！！！




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