mcm1988A The Drug Runner Problem 确定走私船的位置美国数学建模 - matlab数学建模

下载频道> 资源分类> matlab源码> 数学建模> mcm1988A The Drug Runner Problem 确定走私船的位置美国数学建模

标题：mcm1988A The Drug Runner Problem 确定走私船的位置美国数学建模
分享到：

所属分类: 数学建模资源类型：文档文件大小: 14 KB 上传时间: 2019-08-19 21:28:27 下载次数: 99 资源积分：1分提供者: jiqiren 20190819092936413

内容：
(MCM 1988A)

Two listening posts 5.43 miles apart pick up a brief radio signal. The sensing devices were oriented at 110 degrees and 119 degrees, respectively, when the signal was detected; and they are accurate to within 2 degrees. The signal came from a region of active drug exchange, and it is inferred that there is a powerboat waiting for someone to pick up drugs. it is dusk, the weather is calm, and there are no currents. A small helicopter leaves from Post 1 and is able to fly accurately along the 110 degree angle direction. The helicopter's speed is three times the speed of the boat. The helicopter will be heard when it gets within 500 ft of the boat. This helicopter has only one detection device, a searchlight. At 200 ft, it can just illuminate a circular region with a radius of 25 ft.

Develop an optimal search method for the helicopter.

Use a 95% confidence level in your calculations.

确定毒品走私船的位置(美国竞赛1988年A题)

相距5.43哩的监听站收听到一个短暂的无线电讯号。收听到讯早的时候测向仪分别定位在111°和119°处〔见图88A-1)，测向仪的精度为±2°, 该讯号来自一个毒品交换活跃的地方，据推测该处有一只机动船正等着有人来取毒品。当时正值黄昏、无风、无潮流。一架小型直升飞机离开监听站①的简易机场并能精确地沿111°角方向飞行。直升飞机的飞行速度是走私船的三倍。在离船500英尺时船上能听到直升飞机的声音。直升飞机只有一种侦察仪器--探照订。在200英尺远的地方探照灯只能照明半径为25英尺的圆域。

说明飞行员能找到正等着的毒品船的(最小)区域。

研究一种直升飞机的最佳搜索方法。在你的计算中要有95％的精度。

本题是由加州Claremont McKenna学院的J.A.Ferling提供的。这是一个分类(分组问题)的修正简化形式。原问题和现在简化的问题都还没有一种已知的最优解法。

文件列表（点击上边下载按钮，如果是垃圾文件请在下面评价差评或者投诉）:

mcm1988A The Drug Runner Problem 确定走私船的位置 .doc