2005mcm problam a b

leopipi · 发表于 2005-2-4 17:15:21

<

>

ROBLEM A: Flood Planning
<

><st1

laceType w:st="on">Lake</st1

laceType> <st1

laceName w:st="on">Murray</st1:PlaceName> in central <st1:State w:st="on"><st1:place w:st="on">South Carolina</st1:place></st1:State> is formed by a large earthen dam, which was completed in 1930 for power production. Model the flooding downstream in the event there is a catastrophic earthquake that breaches the dam. 
Two particular questions:
Rawls Creek is a year-round stream that flows into the <st1:place w:st="on"><st1:PlaceName w:st="on">Saluda</st1:PlaceName> <st1:PlaceType w:st="on">River</st1:PlaceType></st1:place> a short distance downriver from the dam. How much flooding will occur in Rawls Creek from a dam failure, and how far back will it extend?
Could the flood be so massive downstream that water would reach up to the <st1:PlaceName w:st="on">S.C.</st1:PlaceName> <st1:PlaceType w:st="on">State</st1:PlaceType> <st1:PlaceName w:st="on">Capitol</st1:PlaceName> <st1:PlaceType w:st="on">Building</st1:PlaceType>, which is on a hill overlooking the <st1:place w:st="on"><st1:PlaceName w:st="on">Congaree</st1:PlaceName> <st1:PlaceType w:st="on">River</st1:PlaceType></st1:place>?
 
PROBLEM B: Tollbooths 
Heavily-traveled toll roads such as the <st1:Street w:st="on"><st1:address w:st="on">Garden State Parkway</st1:address></st1:Street>, Interstate 95, and so forth, are multi-lane divided highways that are interrupted at intervals by toll plazas. Because collecting tolls is usually unpopular, it is desirable to minimize motorist annoyance by limiting the amount of traffic disruption caused by the toll plazas. Commonly, a much larger number of tollbooths is provided than the number of travel lanes entering the toll plaza. Upon entering the toll plaza, the flow of vehicles fans out to the larger number of tollbooths, and when leaving the toll plaza, the flow of vehicles is required to squeeze back down to a number of travel lanes equal to the number of travel lanes before the toll plaza. Consequently, when traffic is heavy, congestion increases upon departure from the toll plaza. When traffic is very heavy, congestion also builds at the entry to the toll plaza because of the time required for each vehicle to pay the toll.
Make a model to help you determine the optimal number of tollbooths to deploy in a barrier-toll plaza. Explicitly consider the scenario where there is exactly one tollbooth per incoming travel lane. Under what conditions is this more or less effective than the current practice? Note that the definition of "optimal" is up to you to determine.

ysk19850731 · 发表于 2005-2-5 03:50:54

<

>骗子，还是上不了[em03]

leopipi · 发表于 2005-2-4 17:16:03

<

>

[此贴子已经被作者于2005-2-4 10:01:12编辑过]

leopipi · 发表于 2005-2-4 17:16:23

<

>fff

[此贴子已经被作者于2005-2-4 10:02:05编辑过]

leopipi · 发表于 2005-2-4 17:25:11

<

0cm 0cm 0pt">洪水计划<

0cm 0cm 0pt">在South Carolina 的 Murray湖是由一个巨大的水坝形成的，它是在1930年完工的，用于水利发电。建立洪水模型，当水坝被地震破坏给下游带来的结果。<

0cm 0cm 0pt">两个细节问题：Rawls Creek是一条整年流动的河川，它流入离水坝下游一段距离的Saluda 河。如果水坝被破坏，在Rawls Creek的洪水的规模将有多大，及它会扩充多远？（即影响多远）洪水能到South Carolina的国会大厦吗，国会大厦是在一座小山上面，能俯视Congaree 河。

leopipi · 发表于 2005-2-4 18:00:45

<

0cm 0cm 0pt; TEXT-INDENT: 42.15pt; mso-char-indent-count: 3.0">收费站交通流量大的收费道路，比如：the Garden State Parkway, Interstate 95等等，都是多车道的高速公路，司机需要在收费处停车交费。因收取过路费不是件得人心的事，所以有关部门期望通过减少由于收费站造成的交通混乱来使司机的不满情绪降到最小值。通常情况下，收费站收费窗口的数量会远大于高速公路上的车道数。当进入收费站时，车辆分散开，进入各个收费窗口；而出站时，这些车辆有不得不挤回车道上。于是，当交通流量大时，出收费站时往往出现交通拥挤。当交通非常繁忙时，收费站入口处也会出现交通拥挤，因为每部车交费都需要一定的时间 做一个模型，来决定对于一个交通繁忙的收费处多少个收费窗口才是最佳数目。 要明确标出每一个车道处的收费窗口的位置。在什么情况下会比现行的有效，在什么情况下会比现行的效率低？至于“最佳”这个定义由参赛队员自己衡量

娃哈哈 · 发表于 2005-2-4 18:29:27

<

>等待Ｃ题翻译

韩冰 · 发表于 2005-2-4 18:56:44

所有题目翻译完毕，都在www.madio.net!

韩冰 · 发表于 2005-2-5 06:12:13

<

>晚上服务器出点问题了 <

>现在能上啦!

		自动登录	找回密码
密码			注-册-帐-号