2001年美国中学生数学建模试题及特等奖论文下载 HiMCM Outstanding Papers

huashi3483

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。 Boston-Logan International Munich International Charlotte/Douglas International Ronald Reagan Washington National 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.

huashi3483

---

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.

pandorajnu

已经感觉像是大学的题目了！厉害啊

laoma911

~~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

yanghongyu

好资源 值得下载   谢谢你

yanghongyu

真的谢谢你    不过我更需要矩阵币

mathzjl

美国竞赛，值得借鉴

旭发飘扬

hahaaaaaaaaaaaaaaaaaa

旭发飘扬

hao!!!!!!!

YYRKZ17

好!!!!!!!!!!!!!!!!!!!!!!