(翻译)2016美国数学建模MCM A题(连续型)翻译:A Hot Bath 一个热水澡
来源:互联网 发布:filter 算法 编辑:程序博客网 时间:2024/04/19 12:08
PROBLEM A:A Hot Bath
A person fills a bathtub with hot water from a single faucet and settles into the bathtub to cleanse and relax. Unfortunately, the bathtub is not a spa-style tub with a secondary heating system and circulating jets, but rather a simple water containment vessel. After a while, the bath gets noticeably cooler, so the person adds a constant trickle of hot water from the faucet to reheat the bathing water. The bathtub is designed in such a way that when the tub reaches its capacity, excess water escapes through an overflow drain.
Develop a model of the temperature of the bathtub water in space and time to determine the best strategy the person in the bathtub can adopt to keep the temperature even throughout the bathtub and as close as possible to the initial temperature without wasting too much water.
Use your model to determine the extent to which your strategy depends upon the shape and volume of the tub, the shape/volume/temperature of the person in the bathtub, and the motions made by the person in the bathtub. If the person used a bubble bath additive while initially filling the bathtub to assist in cleansing, how would this affect your model’s results?
In addition to the required one-page summary for your MCM submission, your report must include a one-page non-technical explanation for users of the bathtub that describes your strategy while explaining why it is so difficult to get an evenly maintained temperature throughout the bath water.
A: 一个人充满热水的浴缸从一个单一的水龙头,并落户到浴缸里清洁和放松。不幸的是,浴缸不是温泉式浴盆与辅助加热系统和循环飞机,而是一个简单的水安全壳。一段时间后,在浴变得明显冷却器,所以该人增加的热水恒定涓流从龙头再加热洗澡水。所述浴缸的设计以这样的方式,当所述桶达到其容量,过量的水逸出通过溢流漏极。
开发浴缸水的空间和时间,以确定该人在浴缸可以采用,以保持温度甚至整个浴缸和尽可能接近到初始温度,而不会浪费过多的水的最佳策略的温度的模型。
使用模型确定哪个你的策略取决于形状和桶,该人在浴缸的形状/体积/温度的体积,并且由该人在浴缸所作的运动的程度。如果对方使用了泡泡浴的添加剂,而最初填补了浴缸,以协助清洁,怎么会变成这样影响模型的结果吗?
除了必需的单页摘要您的MCM提交,你的报告必须包括一份一页纸的非技术性解释浴缸的用户描述你的策略,同时解释了为什么它是如此难以得到整个均匀保持温度浴缸里的水。
- (翻译)2016美国数学建模MCM A题(连续型)翻译:A Hot Bath 一个热水澡
- 2017美国数学建模MCM A题(连续型)翻译 管理赞比西河
- 2017美国数学建模MCM A题(连续型)翻译 管理赞比西河
- 2017美国数学建模MCM A题(连续型)翻译 管理赞比西河 Managing The Zambezi River
- 2017美国数学建模MCM A题(连续型)翻译 管理赞比西河 Managing The Zambezi River
- (翻译)2016美国数学建模MCM B题(离散型)翻译:Space Junk太空垃圾
- (翻译)2016美国数学建模MCM F题(政策)翻译:难民移民政策建模
- (翻译)2016美国数学建模MCM E题(环境)翻译:我们朝向一个干旱的星球?
- (翻译)2016美国数学建模MCM C题(大数据)翻译:优质基金挑战
- 2017美国数学建模MCM B题(离散型)翻译 收费后合并
- 2017美国数学建模MCM B题(离散型)翻译 收费后合并
- (翻译)2016美国数学建模MCM D题 翻译:测量协会信息网络的演变和影响
- 2017美国数学建模MCM C题(大数据)翻译 “合作和导航”
- 2017美国数学建模MCM C题(大数据)翻译 “合作和导航”
- 2017美国数学建模MCM B题(离散型)翻译 收费后合并 (Merge After Toll)
- 2017美国数学建模MCM B题(离散型)翻译 收费后合并 (Merge After Toll)
- 2014美国数学建模MCM/ICM原题翻译
- 2016美国数学建模MCM B题 翻译:Space Junk太空垃圾
- LeetCode Single Number XOR
- 基于Spring MVC的Web应用开发(2) - Log
- CommonJS与AMD
- 实习期的你会做什么
- Kubernetes集群管理部署过程(centos7)
- (翻译)2016美国数学建模MCM A题(连续型)翻译:A Hot Bath 一个热水澡
- Hash算法_概念
- 基于Spring MVC的Web应用开发(3) - Resources
- Visual Studio中最常用的13个快捷键
- java的IO
- 5. abcsh
- SIP协议参数详解
- mysql中bigint、int、mediumint、smallint 和 tinyint的取值范围
- @Repository、@Service、@Controller 和 @Component