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美国大学生数学建模竞赛

美国大学生数学建模竞赛题目收集

1985 MCM A:Animal Populations

Choose a fish or mammal for which appropriate data are available to model it accurately. Model th...

1985 MCM B: Strategic Reserve Management

Cobalt, which is not produced in the US, is essential to a number of industries. (Defense account...

1986 MCM A: Hydrographic Data

The table below gives the depth Z of water in feet for surface points with rectangular coordinate...

1986 MCM B: The Emergency-Facilities Location

The township of Rio Rancho has hitherto not had its own emergency facilities. It has secured fund...

1987 MCM A: The Salt Storage Problem

For approximately 15 years, a Midwestern state has stored salt used on roads in the winter in cir...

1987 MCM B: Parking Lot Design

The owner of a paved, 100' by 200' , corner parking lot in a New England town hires you to design...

1988 MCM A: The Drug Runner Problem

Two listening posts 5.43 miles apart pick up a brief radio signal. The sensing devices were orien...

1988 MCM B: The Railroad Flatcar Problem

Two railroad flatcars are to be loaded with seven types of packing crates. The crates have the sa...

1989 MCM A: The Midge Classification Problem

Two species of midges, Af and Apf, have been identified by biologists Grogan and Wirth (1981) on ...

1989 MCM B: The Aircraft Queuing Problem

A common procedure at airports is to assign aircraft (AC) to runways on a first-come-firstserved ...

1990 MCM A: The Brain-Drug Problem

Researchers on brain disorders test the effects of new medical drugs (e.g., dopamine against Park...

1990 MCM B: The Snowplow Problem

The solid lines of the map (see Figure 1) represent paved two-lane county roads in a snow-removal...

1991 MCM A:The Steiner Tree Problem

The cost for a communication line between two stations is proportional to the length of the line....

1991 MCM B:The Water Tank Problem

Some state water-right agencies require from communities data on the rate of water use, in gallon...

1992 MCM A:The Emergency PowerRestoration Problem

Power companies serving coastal regions must have emergency-response systems for power outages du...

1992 MCM B:The Air-Traffic-Control Radar Problem

You are to determine the power to be radiated by an air-traffic-control radar at a major metropol...

1993 MCM A:The Coal-Tipple Operations Problem

The Aspen-Boulder Coal Company runs a loading facility consisting of a large coal tipple. When th...

1993 MCM B:The Optimal Composting Problem

An environmentally conscious institutional cafeteria is recycling customers’ uneaten food into co...

1994 MCM A:The Communications Network Problem

In your company, information is shared among departments on a daily basis. This information inclu...

1994 MCM B:The Concrete Slab Problem

The U.S. Dept. of Housing and Urban Development (HUD) is considering constructing dwellings of va...

1995 MCM A: The Single Helix

The problem proposed here consists of assisting a small biotechnological company in designing, pr...

1995 MCM B: Aluacha Balaclava College

Background : Aluacha Balaclava College, specializing in undergraduate education, has just hired ...

1996 MCM A: The Submarine Detection Problem

Background Information: The world’s oceans contain an ambient noise field. Seismic disturbances,...

1996 MCM B: The Contest Judging Problem

Background Information: When determining the winner of a competition like the Mathematical Conte...

1997 MCM A: The Velociraptor Problem

The velociraptor, Velociraptor mongoliensis, was a predator dinosaur that lived during the late C...

1997 MCM B: Mix Well For Fruitful Discussions

Small group meetings are gaining popularity for the discussion of important issues, particularly ...

1998 MCM A: MRI Scanners

Introduction Industrial and medical diagnostic machines known as Magnetic Resonance Imagers (MR...

1998 MCM B: Grade Inflation

Background Some college administrators are concerned about the grading at A Better Class (ABC) c...

1999 MCM A:Deep Impact

For some time, the National Aeronautics and Space Administration (NASA) has been considering the ...

1999 MCM B: Unlawful Assembly

Many public facilities have signs in rooms used for public gatherings which state that it is "unl...

1999 ICM Problem: Ground Pollution

Background Several practically important but theoretically difficult mathematical problems perta...

2000 MCM A: Air traffic Control

Dedicated to the memory of Dr. Robert Machol, former chief scientist of the Federal Aviation Agen...

2000 MCM B:Radio Channel Assignments

We seek to model the assignment of radio channels to a symmetric network of transmitter locations...

2000 ICM Problem:Elephants: When is Enough, Enough?

"Ultimately, if a habitat is undesirably changed by elephants, then their removal should be consi...

2001 MCM A:Choosing a Bicycle Wheel

Cyclists have different types of wheels they can use on their bicycles. The two basic types of wh...

2001 MCM B: Escaping a Hurricane's Wrath (An Ill Wind...)

Evacuating the coast of South Carolina ahead of the predicted landfall of Hurricane Floyd in 1999...

2001 ICM Problem:Our Waterways - An Uncertain Future

Zebra mussels, Dreissena polymorpha, are small, fingernail-sized, freshwater mollusks unintention...

2002 MCM A:Wind and Waterspray

An ornamental fountain in a large open plaza surrounded by buildings squirts water high into the ...

2002 MCM B:Airline Overbooking

You're all packed and ready to go on a trip to visit your best friend in New York City. After y...

2002 MCM Problem:If we SCRUB our land too much, we may lose the LIZARDs

Picture by Grant Hokit The Florida scrub lizard is a small, gray or gray-brown lizard that lives...

2003 MCM A:The Stunt Person

An exciting action scene in a movie is going to be filmed, and you are the stunt coordinator! A s...

2003 MCM B:Gamma Knife Treatment Planning

Stereotactic radiosurgery delivers a single high dose of ionizing radiation to a radiographically...

2003 ICM Problem:Aviation Baggage Screening Strategies: To Screen or Not to Screen, that is the Question

You are an analysis team in the Office of Security Operations for the Transportation Security Adm...

2004 MCM A:Are Fingerprints Unique?

It is a commonplace belief that the thumbprint of every human who has ever lived is different. De...

2004 MCM B:A Faster QuickPass System

"QuickPass" systems are increasingly appearing to reduce people's time waiting in line, whether i...

2004 ICM Problem:To Be Secure or Not to Be?

You probably know about computer hackers and computer viruses. Unless your computer has been targ...

2005 MCM A:Flood Planning

Lake Murray in central South Carolina is formed by a large earthen dam, which was completed in 19...

2005 MCM B:Tollbooths

Heavily-traveled toll roads such as the Garden State Parkway , Interstate 95, and so forth, are m...

2005 ICM Problem:Nonrenewable Resources

Select a vital nonrenewable or exhaustible resource (water, mineral, energy, food, etc.) for whic...

2006 MCM A:Positioning and Moving Sprinkler Systems for Irrigation

There are a wide variety of techniques available for irrigating a field. The technologies range f...

2006 MCM B:Wheel Chair Access at Airports

One of the frustrations with air travel is the need to fly through multiple airports, and each st...

2006 ICM Problem:Trade-offs in the fight against HIV/AIDS

As the HIV/AIDS pandemic enters its 25th year, both the number of infections and number of deaths...

2007 MCM A:Gerrymandering

The United States Constitution provides that the House of Representatives shall be composed of so...

2007 MCM B:The Airplane Seating Problem

Airlines are free to seat passengers waiting to board an aircraft in any order whatsoever. It has...

2007 ICM PROBLEM:Organ Transplant: The Kidney Exchange Problem

Transplant Network: Despite the continuing and dramatic advances in medicine and health technolog...

2008 MCM A:Take a Bath

Consider the effects on land from the melting of the north polar ice cap due to the predicted inc...

2008 MCM B:Creating Sudoku Puzzles

Develop an algorithm to construct Sudoku puzzles of varying difficulty. Develop metrics to define...

2008 ICM Problem:Finding the Good in Health Care Systems

Nations have systems for providing health care for their residents. Issues that are often of conc...

2009 MCM A:Designing a Traffic Circle

Many cities and communities have traffic circles—from large ones with many lanes in the circle (s...

2009 MCM B:Energy and the Cell Phone

This question involves the “energy” consequences of the cell phone revolution. Cell phone usage i...

2009 ICM Problem:Creating Food Systems: Re-Balancing Human-Influenced Ecosystems

Background Less than 1% of the ocean floor is covered by coral. Yet, 25% of the ocean’s biodiver...

2010 MCM A:The Sweet Spot

Explain the "sweet spot" on a baseball bat. Every hitter knows that there is a spot on the fat p...

2010 MCM B:Criminology

In 1981 Peter Sutcliffe was convicted of thirteen murders and subjecting a number of other people...

2010 ICM Problem:The Great Pacific Ocean Garbage Patch

Recently, there has been considerable news coverage of the “Great Pacific Ocean Garbage Patch.” S...

2011 MCM A:Snowboard Course

Determine the shape of a snowboard course (currently known as a "halfpipe") to maximize the produ...

2011 MCM B:Repeater Coordination

The VHF radio spectrum involves line-of-sight transmission and reception. This limitation can be ...

2011 ICM Problem:How environmentally and economically sound are electric vehicles? Is their widespread use feasible and practical?

Here are some issues to consider, but, of course, there are many more, and you will not be able t...

2012 MCM A:The Leaves of a Tree

"How much do the leaves on a tree weigh?" How might one estimate the actual weight of the leaves ...

2012 MCM B:Camping along the Big Long River

Visitors to the Big Long River (225 miles) can enjoy scenic views and exciting white water rapids...

2012 ICM Problem:Modeling for Crime Busting

Your organization, the Intergalactic Crime Modelers (ICM), is investigating a conspiracy to commi...

2013 MCM A:The Ultimate Brownie Pan

"How much do the leaves on a tree weigh?" How might one estimate the actual weight of the leaves ...

2013 MCM B:Water, Water, Everywhere

Fresh water is the limiting constraint for development in much of the world. Build a mathematical...

2013 ICM Problem A:Network Modeling of Earth's Health

Background: Society is interested in developing and using models to forecast the biological and e...

2014 MCM A:The Keep-Right-Except-To-Pass Rule

In countries where driving automobiles on the right is the rule (that is, USA, China and most oth...

2014 MCM B:College Coaching Legends

Sports Illustrated, a magazine for sports enthusiasts, is looking for the “best all time college ...

2014 ICM Problem: Using Networks to Measure Influence and Impact

One of the techniques to determine influence of academic research is to build and measure propert...

2015 MCM A:Eradicating Ebola

The world medical association has announced that their new medication could stop Ebola and cure p...

2015 MCM B:Searching for a lost plane

Recall the lost Malaysian flight MH370. Build a generic mathematical model that could assist "sea...

2015 ICM Problem C:Managing Human Capital in Organizations

Building an organization filled with good, talented, well-trained people is one of the keys to su...

2015 ICM Problem D:Is it sustainable?

Problem background One of the largest challenges of our time is how to manage increasing populat...

2016 MCM A: A Hot Bath

A person fills a bathtub with hot water from a single faucet and settles into the bathtub to clea...

2016 MCM B: Space Junk

The amount of small debris in orbit around earth has been a growing concern. It is estimated that...

2016 MCM C: The Goodgrant Challenge

The Goodgrant Foundation is a charitable organization that wants to help improve educational perf...

2016 ICM Problem D:Measuring the Evolution and Influence in Society’s Information Networks

Information is spread quickly in today’s tech-connected communications network; sometimes it is d...

2016 ICM Problem E:Are we heading towards a thirsty planet?

Will the world run out of clean water? According to the United Nations, 1.6 billion people (one q...

2016 ICM Problem F:Modeling Refugee Immigration Policies

With hundreds of thousands of refugees moving across Europe and more arriving each day, considera...

2017 MCM A:Managing The Zambezi River

The Kariba Dam on the Zambezi River is one of the larger dams in Africa. Its construction was con...

2017 MCM B:Merge After Toll

Multi-lane divided limited-access toll highways use “ramp tolls” and “barrier tolls” to collect t...

2017 MCM C:“Cooperate and navigate”

Traffic capacity is limited in many regions of the United States due to the number of lanes of ro...

2017 ICM Problem D: Optimizing the Passenger Throughput at an Airport Security Checkpoint

Following the terrorist attacks in the US on September 11, 2001, airport security has been signif...

2017 ICM Problem E:Sustainable Cities Needed!

Background: Many communities are implementing smart growth initiatives in an effort to consider ...

2017 ICM Problem F: Migration to Mars: Utopian Workforce of the 2100 Urban Society

The international agency, Laboratory of Interstellar Financial & Exploration Policy (LIFE), h...

2018 MCM A:Multi-hop HF Radio Propagation

Background: On high frequencies (HF, defined to be 3 - 30 MHz), radio waves can travel long dista...

2018 MCM B:How Many Languages?

Background: There are currently about 6,900 languages spoken on Earth. About half the world’s p...

2018 MCM C:Energy Production

Background: Energy production and usage are a major portion of any economy. In the United States,...

2018 ICM Problem D:Out of Gas and Driving on E

For both environmental and economic reasons, there is global interest in reducing the use of foss...

2018 ICM Problem E:How does climate change influence regional instability?

The effects of Climate Change, to include increased droughts, shrinking glaciers, changing animal...

2018 ICM Problem F:Cost of Privacy

Pervasiveness of, and reliance on, electronic communication and social media have become widespre...

2019 MCM A:Game of Ecology

In the fictional television series Game of Thrones, based on the series of epic fantasy novels A ...

2019 MCM B:Send in the Drones: Developing an Aerial Disaster Relief Response System

Background: In 2017, the worst hurricane to ever hit the United States territory of Puerto Rico (...

2019 MCM C:The Opioid Crisis

Background: The United States is experiencing a national crisis regarding the use of synthetic an...

2019 ICM Problem D:Time to leave the Louvre

Problem The increasing number of terror attacks in France[1] requires a review of the emergency ...

2019 ICM Problem E:What is the Cost of Environmental Degradation?

Economic theory often disregards the impact of its decisions on the biosphere or assumes unlimi...

2019 ICM Problem F:Universal, Decentralized, Digital Currency: Is it possible?

Digital currency can be used like traditional currencies to buy and sell goods, except that it is...

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