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道路降雪铲除模型及城市主干道降雪清除规划
参赛队员
秦祎芃,高振源,苏聪
指导老师
蔡斌
学校
江苏省苏州中学
Abstract
Heavy Snow will turn to a natural disaster, and will bring big economic losses. The authors
hope to establish a mathematic model and a plan to illustrate how to sweep off the snow on main
roads in a city so as to ensure the smooth flow of traffic. The research will become a basis on
which the government can workout some plans against the snow disasters.
Firstly we made some assumptions, then studied the working process of snow-sweepers and
derived a snow sweeping model. Based on this model, the relationship between working speed of
snow-sweeper and snow thickness, a working model of snow-sweeper, and minimum sets of
snow-sweeper needed were established. A deep-searching model and a model of snow-sweeping
tree, and a computer program in PASCAL to determine the minimum number of snow-sweeper
and the snow sweeping plans on main roads were obtained.
We tried several solutions to deal with this problem, such as using piecewise curve fitting to
transform a formula h~ v relating to a cubic equation operation to formula v ~ h ,using trial and
c c
error method to determine the minimum number of snow sweepers, using deep searching and tree
structure in one-stroke processing in a complicated two-way road system, and also a matrix to deal
with the deep searching.
摘要
雪灾是重要的自然灾害之一,因降雪形成道路交通受阻甚至瘫痪是由雪灾造成严重经济
损失和不良社会影响的最重要因素。本项目的目的是希望通过我们的研究,构造出铲除道路
降雪保证道路畅通的数学模型,并对城市主干道路的降雪清除进行规划,为政府抗击雪灾及
制定有关预案做一点基础工作。
我们进行了问题假设,研究了铲雪机工作的物理过程和道路降雪清除的物理模型,在
此
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