2011 HiMCM B題特等獎學生論文下載2881

2011 HiMCM B題特等獎學生論文下載2881

 

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論文摘要如下：

14th Annual High School Mathematical Contest in Modeling (HiMCM) Summary Sheet (Please attach a copy of this page to each copy of your Solution Paper.)

Team Control Number: 2881

 

Problem Chosen: B No one enters the wilderness expecting to get lost. However, each year forest rangers

search for thousands of missing or stranded people. In order to maintain public safety, it is? critical to find the missing personnel in the fastest time possible.

Unfortunately, instead of calling 911, many people will operate off of their natural? instinct and go searching for their friend – without help. Though some may have luck searching? for their friends, many will not because the odds are very literally stacked against them. Our? models show that, while certain methods of searching are somewhat effective, searching on? one’s own with a pen light is not the best solution, especially when searching such a large? amount of land. Though the probabilities of finding the ring are not insufferably low, (as it is an? inanimate object), the probabilities of finding a living being who could accidentally and? repeatedly evade the searcher are horrendous. While the search methods are optimized, one?person searching for a friend is never as effective as a well-equipped search party.

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