mcm1999B Unlawful Assembly 非法集会美国数学建模 - matlab数学建模

下载频道> 资源分类> matlab源码> 数学建模> mcm1999B Unlawful Assembly 非法集会美国数学建模

标题：mcm1999B Unlawful Assembly 非法集会美国数学建模
分享到：

所属分类: 数学建模资源类型：文档文件大小: 4.37 KB 上传时间: 2019-08-19 20:55:39 下载次数: 35 资源积分：1分提供者: jiqiren mcm1999B Unlawful Assembly 非法集会

内容：
(MCM 1999B)

Many public facilities have signs in room for public gatherings which state that it is "unlawful" for the rooms to be occupied by more than a specified number of people. Presumably, this number is based on the speed with which people in the room could be evacuated from the room' exits in case of an emergency. Similarly, elevators and other facilities often have "maximum capacities" posted.

Develop a mathematical model for deciding what number to post on such a sign as being the "lawful capacity". As part of your solution discuss criteria, other than public safety in the case of a fire or other emergency, that might govern the number of people considered "unlawful" to occupy the room (or space).Also, for the model that you construct, consider the differences between a room with movable furniture such as a cafeteria (with tables and chairs), a gymnasium, a public swimming pool, and a lecture hall with a pattern of rows and aisles. You may wish to compare and contrast what might be done for a variety of differ environments: elevator, lecture hall, swimming pool, cafeteria, or gymnasium. Gatheri such as rock concerts and soccer tournaments may present special conditions.

Apply your model to one or more public facilities at your institution (or neighboring town).Compare your result with the stated capacity, if one is post If used, your model is likely to be challenged by parties with interests increasing the capacity. Write an article for the local newspaper defending you analysis.

“非法”聚会(美国竞赛1999年B题)

许多公共设施的房间都柯一种标有人数的记号，当房间中人数超过记号上人数时就视为“非法”，该数目可假定是以紧急情况下从房屋出口逃出的人数为基准确定的，类似地，电梯及其它设施经常有一个“最大容量”。

建立数学模型以确定标上多大人数值才是“合法容量”，作为求解的一部分要讨论若干准则(并非在火灾或其它紧急情况下的公共安全)决定出房屋〔或空间)达到“非法”聚会的人数，而且，在所建模型中要考虑几种不同的房屋结构，例如，像咖啡屋(拥有桌和椅子)那样具有可移动家俱的房子，具有成排椅子和走廊的演训厅等，你还可以对各种不同情形进行比较与对比，例如：电梯，演讲厅，游泳池，咖啡屋或健身房等。

收集摇滚音乐会或足球比赛的相关资料也许会为你提供一些特殊的信息。将所建模型用于你所在学院(或附近城镇)的一个或多个公共设施中，如果该类设施已标有“合法”人数的话，请将模型所得结果与之比较。如果得到使用，你的模型可能部分受到利益驱动下要增加容量之观点的挑战，为当地报刊撰写一篇文章以捍卫模型所给的分析。

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）:

mcm1999B Unlawful Assembly 非法集会 .doc