1999icm原题和数据（数据找了好久的）

gzwh2000

procdata.rar (94.43 KB, 下载次数: 12)

2009-1-21 13:56 上传

点击文件名下载附件
数据
下载积分: 体力 -2 点

好多地方都有题，就是没有数据

1999年美国大学生数学建模竞赛题目返回首页1999年美国大学生数学建模竞赛题目
       Problem A: Deep Impact
      For some time, the National Aeronautics and Space Administration (NASA)
      has been considering the consequences of a large asteroid impact on the
      earth.
      As part of the effort, your team has been asked to consider the effects of
      such an impact were the asteroid to land in Antarctica. There are concerns
      that an impact there could have considerable different consequences than
      one striking elsewhere on the planet.
      You are to assume that an asteroid is on the order of 1,000 m in diameter,
      and that it strikes the Antarctic continent directly at the South Pole.
      Your team has been asked to provide an assessment of the impact of such an
      asteroid. In particular, NASA would like an estimate of the amount and
      location of likely human casualties from the impact, an estimate of the
      damage done to the food production regions in the oceans of the southern
      hemisphere, and an estimate of possible coastal flooding caused by
      large-scale melting of the Antarctic polar ice sheet.
      Problem B: Unlawful Assembly
      Nany facilities for public gatherings have signs that state that it is
      "unlawful" for their rooms to be occupied by more than a specified number
      of people. Presumably, this number is based on the speed with which people
      in the room could be evacuated from the room's exits in case of an
      emergency. Similarly, elevators and other facilities often have "maximum
      capacities" posted.
      Develop a mathematical model for deciding what number to post on such a
      sign as being the "lawful capacity." As part of your solution, discuss
      criteria-other than public safety in the case of a fire of other
      emergency-that might govern the number of people considered "unlawful" to
      occupy the room (or space). Also, for the model that you construct,
      consider the differences between a room with movable furniture such as a
      cafeteria (with tables and chairs), a gymnasium, a public swimming pool,
      and a lecture hall with a pattern of rows and aisles. You may wish to
      compare and contrast what might be done for a variety of different
      environments: elevator, lecture hall, swimming pool, cafeteria, or
      gymnasium. Gatherings such as rock concerts and soccer tournaments may
      present special conditions.
      Apply your model to one or more public facilities at your institution (or
      neighboring town). Compare your results with the stated capacity, if one
      is posted. If used, your model is likely to be challenged by parties with
      interests in increasing the capacity. Write an article for the local
      newspaper defending your analysis.
      Problem C: Ground Pollution
      Background
      Several practically important but theoretically difficult mathematical
      problems pertain to the assessment of pollution. One such problem consists
      in deriving accurate estimates of the location and amount of pollutants
      seeping inaccessibly underground, and the location of their source, on the
      basis of very few measurements taken only around, but not necessarily
      directly in, the suspected polluted region.
      Example
      The data set (an Excel file at http:// www.comap.com/mcm/procdata.xls,
      downloadable into most spreadsheets) shows measurements of pollutants in
      underground water from 10 monitoring wells (MW) from 1990 to 1997. The
      units are micrograms per liter (μg/1). The location and elevation for
      eight wells are known and given in Table 1. The first two numbers are the
      coordinates of the location of the well on a Cartesian grid on a map. The
      third number is the altitude in feet above Mean Sea Level of the water
      level in the well.
      Table 1.
      Well Number x-Coordinate(ft) y-Coordinate(ft) Elevation(ft)
      MW-1 4187.5 6375.0 1482.23
      MW-3 9062.5 4375.0 1387.92
      MW-7 7625.0 5812.5 1400.19
      MW-9 9125.0 4000.0 1384.53
      MW-11 9062.5 5187.5 1394.26
      MW-12 9062.5 4562.5 1388.94
      MW-13 9062.5 5000.0 1394.25
      MW-14 4750.0 2562.5 1412.00
      The locations and elevations of the other two wells in the data set (MW-27
      and MW-33) are not known. In the data set, you will also see the letter T,
      M, or B after the well number, indicating that the measurements were taken
      at the Top,. Middle, or Bottom of the aquifer in the well. Thus, MW-7B and
      MW-7M are from the same well, but from the bottom and from the middle.
      Also, other measurements indicate that water tends to flow toward well
      MW-9in this area.
      Problem One
      Build a mathematical model to determine whether any new pollution has
      begun during this time period in the area represented by the data set. If
      so, identify the new pollutants and estimate the location and time of
      their source.
      Problem Two
      Before the collection of any data, the question arises whether the
      intended type of data and model can yield the desired assessment of the
      location and amount of pollutants. Liquid chemicals may have leaked from
      one of the storage tanks among many similar tanks in a storage facility
      built over a homogeneous soil. Because probing under the many large tanks
      would be prohibitively expensive and dangerous, measuring only near the
      periphery of the storage facility or on the surface of the terrain seems
      preferable. Determine what type and number of measurements, taken only
      outside the boundary or on the surface of the entire storage facility, can
      be used in a mathematical model to determine whether a leak has occurred,
      when it occurred, where (from which tank) it occurred, and how much liquid
      has leaked.

lovecan

谢谢分享！