mcm2001B Escaping a Hurricane's Wrath(An ill wind...) 逃避飓风 - matlab数学建模 - 谷速源码
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标题:mcm2001B Escaping a Hurricane's Wrath(An ill wind...) 逃避飓风
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所属分类: 数学建模 资源类型:文档 文件大小: 39.8 KB 上传时间: 2019-08-19 20:44:03 下载次数: 77 资源积分:1分 提 供 者: jiqiren 20190819084454791
内容:
(MCM 2001B) 
 
Evacuating the coast of South Carolina ahead of the predicted landfall of Hurricane Floyd in 1999 led to a monumental traffic jam. Traffic slowed to a standstill on Interstate I-26, which is the principal route going inland from Charleston to the relatively safe haven of Columbia in the center of the state. What is normally an easy two-hour drive took up to 18 hours to complete. Many cars simply ran out of gas along the way. Fortunately, Floyd turned north and spared the state this time, but the public outcry is forcing state officials to find ways to avoid a repeat of this traffic nightmare. 
 
The principal proposal put forth to deal with this problem is the reversal of traffic on I-26, so that both sides, including the coastal-bound lanes, have traffic headed inland from Charleston to Columbia. Plans to carry this out have been prepared (and posted on the Web) by the South Carolina Emergency Preparedness Division. Traffic reversal on principal roads leading inland from Myrtle Beach and Hilton Head is also planned. 
 
A simplified map of South Carolina is shown. Charleston has approximately 500,000 people, Myrtle Beach has about 200,000 people, and another 250,000 people are spread out along the rest of the coastal strip. (More accurate data, if sought, are widely available.) 
 
The interstates have two lanes of traffic in each direction except in the metropolitan areas where they have three. Columbia, another metro area of around 500,000 people, does not have sufficient hotel space to accommodate the evacuees (including some coming from farther north by other routes), so some traffic continues outbound on I-26 towards Spartanburg; on I-77 north to Charlotte; and on I-20 east to Atlanta. In 1999, traffic leaving Columbia going northwest was moving only very slowly. Construct a model for the problem to investigate what strategies may reduce the congestion observed in 1999. Here are the questions that need to be addressed: 
 
1. Under what conditions does the plan for turning the two coastal-bound lanes of I-26 into two lanes of Columbia-bound traffic, essentially turning the entire I-26 into one-way traffic, significantly improve evacuation traffic flow? 
 
2. In 1999, the simultaneous evacuation of the state's entire coastal region was ordered. Would the evacuation traffic flow improve under an alternative strategy that staggers the evacuation, perhaps county-by- county over some time period consistent with the pattern of how hurricanes affect the coast? 
 
3. Several smaller highways besides I-26 extend inland from the coast. Under what conditions would it improve evacuation flow to turn around traffic on these? 
 
4. What effect would it have on evacuation flow to establish more temporary shelters in Columbia, to reduce the traffic leaving Columbia? 
 
5. In 1999, many families leaving the coast brought along their boats, campers, and motor homes. Many drove all of their cars. Under what conditions should there be restrictions on vehicle types or numbers of vehicles brought in order to guarantee timely evacuation? 
 
6. It has been suggested that in 1999 some of the coastal residents of Georgia and Florida, who were fleeing the earlier predicted landfalls of Hurricane Floyd to the south, came up I-95 and compounded the traffic problems. How big an impact can they have on the evacuation traffic flow? Clearly identify what measures of performance are used to compare strategies. Required: Prepare a short newspaper article, not to exceed two pages, explaining the results and conclusions of your study to the public. 
 
Clearly identify what measures of performance are used to compare strategies. 
 
Required: Prepare a short newspaper article, not to exceed two pages, explaining the results and conclusions of your study to the public. 
 
 
逃避飓风怒吼(一场恶风…)(美国竞赛2001年B题) 
 
1999年,在Floyd飓风预报登陆之前,撤离南卡罗来纳州沿海地区的行动导致一场永垂青史的交通拥塞。车水马龙停滞在州际公路I-26上,那是内陆上从Charleston通往该州中心Columbia相对安全处所的主要干线。正常时轻松的两个小时驱车路要用上18个小时才能开到头。许多车竟然沿途把汽油消耗净尽。幸运的是,Floyd飓风掉头长驱北上,这次放过了南卡罗来纳州,但是,公众的喧嚷正在迫使该州官员们寻找各种办法,以求避免这场交通恶梦再度出现。 
 
倾力解决这个问题的主要提议是I-26公路上的车辆转向疏散,因此,包括通往海岸的多条次级公路在内,从两个侧面疏导车流在内陆从Charleston开往Columbia。 
 
把提议付诸实施的计划已经由South Carolina Emergency Preparedness Division准备好(而且贴在互联网上)。从Myrtle Beach和Hilton Head通往内地的主干道上车辆转向疏散的方案也在规划中。 
 
这里有一张南卡罗来纳州的简化地图。Charleston有近500,000人,Myrtle Beach有200,000人左右,而另一个250,000人分散在沿岸其余地区。(如果查找,更精确的数据随处可用。 
 
州与州之间有两条车辆往来的次级公路,自然大都市地区除外,那里有三条。Columbia,又一个500,000人左右的大都市地区,没有充足的旅店空间为撤退者提供食宿(包括沿其他路线来自大北边的一些人),所以,若干车辆继续撤离,沿着I-26公路开往Spartanburg市;沿着I-77公路北上Charlotte市;而且沿着I-20公路东进Atlanta市。在1999年,从Columbia开往西北方向的车辆行进得非常慢。对这个问题建立一个模型,调查研究哪种策略可以降低在1999年观察到的拥挤。这里有一些问题需要加以考虑: 
 
在什么条件下,把I-26的两条开往海岸的次级公路变成开往Columbia的两条次级公路,特别是把整个I-26变成单行道会使撤离交通状况得到重大改善? 
 
在1999年,南卡罗来纳州的整个沿海地区奉命同时撤离。如果采取另一种策略,逐个郡按某个时间段错开撤离,同时与飓风对沿岸影响的模式相协调,撤离交通状况会改善吗? 
 
在I-26公路旁边有若干较小的高速公路从海岸延伸到内陆。在什么条件下,把车辆流转向这些道路会改善撤离交通? 
 
在Columbia建立更多临时收容所来减少离开Columbia的车辆,这会对撤离交通状况有什么影响? 
 
在1999年,离开海岸的许多家庭一路上携带他们的船只,露营设备和汽车住宅。许多家庭驾驶他们的所有汽车。在什么条件下,应当对携带的车辆类型或车辆数目加以限制以求保证适时撤离? 
 
在1999年,人们还会记得,若干Georgia州 and Florida州的沿岸居民逃避较早预报的Floyd飓风南部登陆,沿着I-95公路北上而加重了南卡罗来纳州交通问题。他们对于撤离交通的冲击会有多大? 
 
要清楚地指明,为了比较各种策略,使用什么方法对实施状况予以评测。 
 
要求:预备一篇简短的报刊文章,不超过两页,向公众解释你的研究成果和结论。 

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