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美国高中建模数学竞赛(HiMCM)
美国高中生数学建模竞赛(HiMCM)是美国数学及应用联合会(COMAP)主办的一项国际性的数学竞赛活动,是全球影响力最大的中学生数学竞赛之一。该比赛采取论文评比方式,主办方会给出具体的题目,参赛者使用数学建模、编程等方式,建立数学模型,解决实际问题。竞赛结束后向COMPA递交答卷,由COMPA组织专家评阅。
1999 HiMCM:Traffic Lights Problem
Major thoroughfares in big cities are usually highly congested. Traffic lights are used to allow ...
2000 HiMCM A:Bank Robbers
The First National Bank has just been robbed (the position of the bank on the map is marked). The...
2000 HiMCM B:Elections
It is almost election time and it is time to revisit the electoral vote process. The constitution...
2001 HiMCM A:Design of an Airline Terminal
The design of airline terminals varies widely. The sketches below show airline terminals from sev...
2001 HiMCM B: Forest Service
Your team has been approached by the Forest Service to help allocate resources to fight wildfires...
November 2001 HiMCM A: Adolescent Pregnancy
You are working temporarily for the Department of Health and Environmental Control. The director ...
November 2001 HiMCM B:Skyscrapers
Skyscrapers vary in height , size (square footage), occupancy rates, and usage. They adorn the sk...
2002 HiMCM A:School Busing
Consider a school where most of the students are from rural areas so they must be bused. The buse...
2002 HiMCM B:The Falling Ladder
A ladder 5 meters long is leaning against a vertical wall with its foot on a rug on the floor. In...
2003 HiMCM A:What is it worth?
In 1945, Noah Sentz died in a car accident and his estate was handled by the local courts. The st...
2003 HiMCM B:How fair are major league baseball parks to the players?
Consider the following major league baseball parks: Atlanta Braves, Colorado Rockies, New York Ya...
2004 HiMCM A:Motel Cleaning Problem
Motels and hotels hire people to clean the rooms after each evening's use. Develop a mathematical...
2004 HiMCM B:The Art Gallery Security System
An art gallery is holding a special exhibition of small watercolors. The exhibition will be held ...
2005 HiMCM A:Modeling Ocean Bottom Topography
Background:A marine survey ship maps ocean depth by using sonar to reflect a sound pulse off the ...
2005 HiMCM B:Gas Prices, Inventory, National Disasters, and the Mighty Dollar
It appears from the economic reports that the world uses gasoline on a very short supply and dema...
2006 HiMCM A:Inflation of the Parachute
A parachute is made from thin, lightweight fabric, support tapes and suspension lines. The lines ...
2006 HiMCM B:A South Sea Island Resort
A South Sea island chain has decided to transform one of their islands into a resort. This roughl...
2007 HiMCM A:Smoke Alarms
Fire is one of the leading causes of accidental deaths. It is important for everyone to take ever...
2007 HiMCM B:Car Rentals
Some people rent a car when they are going on a long trip. They are convinced they save money. Ev...
2008 HiMCM A:National Debt and National Crisis
Mathematical modeling involves two equally important steps - building models based on real world ...
2008 HiMCM B:Going Green
The United States can address its national carbon footprint in two ways: by reducing carbon dioxi...
2009 HiMCM A:Water, Water Everywhere
Fresh water is the limiting constraint for development in much of the United States. Devise an ef...
2009 HiMCM B:Tsunami ("Wipe Out!")
Recent events have reminded us about the devastating effects of distant or underwater earthquakes...
2010 HiMCM A:Bicycle Club
Several cities in the US are starting bike share programs. Riders can pick up and drop off a bicy...
2010 HiMCM B:Curbing City Violence
A regional city has had lots of problems with gangs and violence over the years. The mayor, chief...
2011 HiMCM A:Space Shuttle Problem: No More Space Shuttles
On July 21, 2011, the 135th and final US Space Shuttle landed in Florida after its 13-day mission...
2011 HiMCM B:Search and Find
Finding lost objects is not always an easy task, even when you have knowledge of a general locati...
2012 HiMCM A:American Elk
Prior to the arrival of European colonization on the North American continent, the ecological bio...
2012 HiMCM B:How Much Gas Should I Buy This Week?
Gas prices fluctuate significantly from week to week. Consumers would like to know whether to fil...
2013 HiMCM A:Emergency Medical Response
The Emergency Service Coordinator (ESC) for a county is interested in locating the county's three...
2013 HiMCM B:Bank Service Problem
The bank manager is trying to improve customer satisfaction by offering better service. Managemen...
2014 HiMCM A:Unloading Commuter Trains
Trains arrive often at a central Station, the nexus for many commuter trains from suburbs of larg...
2014 HiMCM B:The Next Plague?
In 2014, the world saw the infectious Ebola virus spreading in western Africa. Throughout human h...
2015 HiMCM A:Preventing Road Rage
Have you ever been traveling down a highway when you see one or both of these signs?In some cases...
2015 HiMCM B:City Crime and Safety
What can we make of the massive amount of crime statistics collected in major cities? Beyond just...