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大学生建模大赛 2000年美国大学生数学建模大赛赛题.doc

大学生建模大赛 2000年美国大学生数学建模大赛赛题.doc

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大学生建模大赛 2000年美国大学生数学建模大赛赛题 2000 Mathematical Contest in Modeling The Problems Problem A: Air traffic Control Problem B: Radio Channel Assignments Problem A Air traffic Control Dedicated to the memory of Dr. Robert Machol, former chief scientist of the Federal Aviation Agency To improve safety and reduce air traffic controller workload, the Federal Aviation Agency (FAA) is considering adding software to the air traffic control system that would automatically detect potential aircraft flight path conflicts and alert the controller. To that end, an analyst at the FAA has posed the following problems. Requirement A: Given two airplanes flying in space, when should the air traffic controller consider the objects to be too close and to require intervention? Requirement B: An airspace sector is the section of three-dimensional airspace that one air traffic controller controls. Given any airspace sector, how do we measure how complex it is from an air traffic workload perspective? To what extent is complexity determined by the number of aircraft simultaneously passing through that sector (1) at any one instant? (2) during any given interval of time?(3) during a particular time of day? How does the number of potential conflicts arising during those periods affect complexity? Does the presence of additional software tools to automatically pr

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