2011国赛B题论文 - 图文 联系客服

发布时间 : 星期二 文章2011国赛B题论文 - 图文更新完毕开始阅读86aa90fd910ef12d2af9e729

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7 8 10 15 16 41 248 245 246 561 6.模型的评价、改进及推广

6.1模型的评价

在解决图中任意两点间最短距离时我们采用了Floyd算法,精确性很高,但是执行效率低,求解问题一时所采用的方法只是一个近似解决方法,但得到的结果与精确解很接近,对现实问题的出来还是可以满足要求的。

6.2 模型的改进与推广

1、在计算图中任意两点最短距离时,除了运用Floyd算法外,还可以调用Dijkstra算法进行计算;

2、在确定平台管辖范围时,把整条道路的时间归结到节点会造成误差,可以对道路进行离散化,以巡警一分钟的行驶路程来对道路进行适当离散,从而减小误差,使模型达到最优;

3、在决策围堵最佳方案时,应考虑警力一对一围堵,得到最优解。

7.参考文献

【1】刘向东,数学模型与数学建模,北京师范大学出版社,1998 【2】龚劬,图论与网络最优化,重庆大学出版社, 1998

【3】姜启源,谢金星,叶俊,数学模型,高等教育出版社,2003

【4】姜启源、谢金星、叶俊,数学模型,北京:高等教育出版社,2003

【5】胡红亮、赵芳玲、辛小龙,数学建模与竞赛辅导,西安:西北大学出版社,2010 【6】任善强、雷鸣,数学模型,重庆:重庆大学出版社,1998

附录:

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