2015 HiMCM B题特等奖学生论文下载5473
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论文摘要如下:
18th Annual High School Mathematical Contest in Modeling (HiMCM)
Summary Sheet (Please attach a copy of this page to your Solution Paper.)
Team Control Number: 5473
Problem Chosen: B
Crimes are permanently something closely associated with the safeness of one place, and safeness must be one of the most primary factors that citizens concern. It should be apparent that higher crime rate represents less safety; yet assigning a certain safety rating to one city cannot be achieved by simply considering the amount of crimes. In this paper, we are going to determine a safety rating for My City, a metropolis with a population of 2.8 million.
In the first place, we make attempts to weigh the impact of different crime categories by both the level of fear and the cost of crimes. In the fear approach, we create an index scale to evaluate the relative level of safety of My City compared to other cities in the United States. Using a weighted arithmetic average and results of a survey from Mark Warr’s essay Fear of Victimization, we can calculate the relative level of fear in My City as a reasonable safety rating of My City. In the cost approach, we will use the crime numbers per 1000 people to evaluate the total cost of all crimes per 1000 people. In the end, we will compare the two models and give a general conclusion for the safety rating in My City.
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