【真题在线看】2018 ICM问题D:没油了,仍按 E 行驶(电动,不是空的)

 问题标题:没油了,仍按 E 行驶(电动,不是空的)
   
  年份:2018  
  学生等级:本科生  
  来源:ICM

问题
出于环境和经济原因,全球都希望减少化石燃料的使用,包括汽车汽油。无论是出于环保还是经济原因,消费者都开始转向电动汽车。一些国家已经看到了电动汽车普及率快速增长的早期迹象。在美国和其他国家,更实惠的全电动特斯拉 Model 3 的发布带来了创纪录的预订数量和漫长的等待名单 ( https://www.wired.com/story/tesla-model-3-delivery-timeline/)。为了进一步加速向电动汽车的转变,包括中国在内的一些国家已宣布将在未来几年禁止汽油和柴油汽车 ( http://money.cnn.com/2017/09/11/news/china-gas-electric-car-ban/index.html )。

最终,禁令生效后,需要在适当的地点设立足够数量的汽车充电站,以便人们可以使用汽车进行日常工作,以及偶尔进行长途旅行。然而,从汽油和柴油汽车向电动汽车的转变并不简单,不可能一蹴而就。在幻想世界中,我们有一天醒来时会发现每辆汽油车都被电动汽车取代,每个加油站都被充电站取代。在现实中,资源有限,消费者需要时间才能完成转换。事实上,充电站的位置和便利性至关重要,因为早期采用者和最终的主流消费者都会自愿转换(http://www.govtech.com/fs/Building-Out-Electric-Vehicle-Infrastructure-Where-Are-the-Best-Locations-for-Charging-Stations.html)。

当各国规划这一转型时,他们需要考虑最终的充电站网络(充电站数量、充电站位置、充电站充电器数量以及农村、郊区和城市地区需求的差异),以及充电站网络随时间的增长和演变。例如,当电动汽车占所有汽车的 10%、30%、50% 和 90% 时,充电站网络应该是什么样子?

当各国寻求制定促进电动汽车转型的政策时,他们需要设计一个最适合各自国家的计划。在开始之前,他们希望您的团队能够帮助他们确定充电网络的最终架构,以支持全电动汽车的全面采用。此外,他们希望您能确定在他们规划最终禁止或大幅减少汽油和柴油汽车的时间表时至关重要的关键因素。

为了帮助您的团队管理此问题的范围,我们要求您仅关注个人乘用车(即用于乘客的汽车、货车和轻型卡车)。在报告的最后,您可以简要评论您的发现和结论与商用车(包括重型卡车和公共汽车)的相关性。

您的任务如下:

任务 1:探索美国当前和不断增长的特斯拉充电站网络。特斯拉目前提供两种类型的充电站:(1) 目的地充电站,设计用于一次充电数小时甚至整夜充电(https://www.tesla.com/destination-charging);(2 ) 超级充电站,设计用于长途公路旅行,只需 30 分钟的充电即可提供长达 170 英里的续航里程 ( https://www.tesla.com/supercharger )。这些充电站是许多拥有私人车库或带电车道的特斯拉车主使用的家用充电站的补充。特斯拉是否有望让美国完全转向全电动汽车?如果美国每个人都改用全电动个人乘用车,将需要多少个充电站,以及它们应该如何在城市、郊区和农村地区分布?

任务 2:选择以下国家之一(韩国、爱尔兰或乌拉圭)。

2a.如果您的国家可以立即将所有个人乘用车升级为全电动汽车(无需过渡时间),请确定充电站的最佳数量、位置和分布。影响您计划发展的关键因素是什么?

2b.虽然这些国家已经开始安装充电器,但您可以从头开始。提出一项提案,将您所选国家的充电网络从零充电器发展为完整的电动汽车系统。您建议该国如何投资充电器?该国应该先建造所有城市的充电器,还是所有农村的充电器,还是两者兼而有之?您会先建造充电器并希望人们购买汽车,还是会根据汽车购买情况建造充电器?影响您提议的充电站计划的关键因素是什么?

2c.根据您的发展计划,您建议贵国全面发展电动汽车的时间表是什么?首先,您可能希望考虑一下,在您选择的国家/地区的道路上,电动汽车占比需要多长时间才能达到 10%、30%、50% 或 100%。影响您提出的增长计划时间表的关键因素是什么?

任务 3:现在考虑地理、人口密度分布和财富分布差异很大的国家,例如澳大利亚、中国、印度尼西亚、沙特阿拉伯和新加坡。您提出的发展和改进充电器网络的计划是否仍然适用于这些国家?哪些关键因素促使选择不同的网络发展方法?讨论创建分类系统的可行性,该系统将帮助一个国家确定他们应该遵循的一般增长模式,以便他们成功地从汽油和柴油汽车转向全电动汽车。

任务 4:技术世界不断变化,并影响着交通选择,例如汽车共享和拼车服务、自动驾驶汽车、电动汽车快速电池更换站,甚至飞行汽车和超级高铁。评论这些技术如何影响您对电动汽车使用日益增加的分析。

任务 5:准备一份一页的讲义,供参加国际能源峰会的各国领导人参考。讲义应确定领导人回国时应考虑的关键因素,以制定国家计划,将个人交通工具转向全电动汽车,并设定禁止使用燃气汽车的日期。

您的提交内容应包括:
    ● 一页摘要表,
    ● 一页讲义,
    ● 您的解决方案不超过 20 页,最多 22 页(包括摘要和讲义)。
    ●注意:参考列表和任何附录不计入 22 页的限制,应出现在您完成的解决方案之后。

题目内容过长,可到文末下载完整版中英文真题


以下是英文版真题

Problem
For both environmental and economic reasons, there is global interest in reducing the use of fossil fuels, including gasoline for cars. Whether motivated by the environment or by the economics, consumers are starting to migrate to electric vehicles. Several countries are seeing early signs of the potential for rapid growth in the adoption of electric vehicles. In the US and other countries, the release of the more affordable all-electric Tesla Model 3 has resulted in record numbers of pre-orders and long wait lists (https://www.wired.com/story/tesla-model-3-delivery-timeline/). To further accelerate the switch to electric vehicles, some countries, including China, have announced that they will ban gasoline and diesel cars in the coming years (http://money.cnn.com/2017/09/11/news/china-gas-electric-car-ban/index.html).

Eventually, when a ban goes into effect, there needs to be a sufficient number of vehicle charging stations in all the right places so that people can use their vehicles for their daily business, as well as make occasional long-distance trips. The migration from gasoline and diesel cars to electric vehicles, however, is not simple and can鈥檛 happen overnight. In a fantasy world, we would wake up one day with every gas vehicle replaced by an electric one, and every gas station replaced with a charging station. In reality, there are limited resources, and it will take time for consumers to make the switch. In fact, the location and convenience of charging stations is critical as early adopters and eventually mainstream consumers volunteer to switch (http://www.govtech.com/fs/Building-Out-Electric-Vehicle-Infrastructure-Where-Are-the-Best-Locations-for-Charging-Stations.html).

As nations plan this transition, they need to consider the final network of charging stations (the number of stations, where they will be located, the number of chargers at the stations, and the differences in the needs of rural areas, suburban areas, and urban areas), as well as the growth and evolution of the network of charging stations over time. For example, what should the network look like when electric vehicles represent 10% of all cars, 30% of all cars, 50% of all cars, and 90% of all cars?

As nations seek to develop policies that promote the migration towards electric vehicles, they will need to design a plan that works best for their individual country. Before they can begin, they would like your team鈥檚 help in determining the final architecture of the charging network to support the full adoption of all-electric vehicles. Additionally, they would like you to identify the key factors that will be important as they plan their timeline for an eventual ban or dramatic reduction of gasoline and diesel vehicles.

To help your team manage the scope of this problem, we ask that you focus only on personal passenger vehicles (i.e. cars, vans, and light trucks used for passengers). At the end of your report, you may briefly comment on the relevance of your findings and conclusions on commercial vehicles to include heavy trucks and busses.

Your tasks are the following:

Task 1: Explore the current and growing network of Tesla charging stations in the United States. Tesla currently offers two types of charging stations: (1) destination charging designed for charging for several hours at a time or even overnight (https://www.tesla.com/destination-charging); and (2) supercharging designed for longer road trips to provide up to 170 miles of range in as little as 30 minutes of charging (https://www.tesla.com/supercharger). These stations are in addition to at-home charging used by many Tesla owners who have a personal garage or a driveway with power. Is Tesla on track to allow a complete switch to all-electric in the US? If everyone switched to all-electric personal passenger vehicles in the US, how many charging stations would be needed, and how should they be distributed between urban, suburban, and rural areas?

Task 2: Select one of the following nations (South Korea, Ireland, or Uruguay).

2a. Determine the optimal number, placement, and distribution of charging stations if your country could migrate all their personal passenger vehicles to all-electric vehicles instantaneously (no transition time required). What are the key factors that shaped the development of your plan?

2b. While these countries have already started installing chargers, you get to start with a clean slate. Present a proposal for evolving the charging network of your chosen country from zero chargers to a full electric-vehicle system. How do you propose the country invest in chargers? Should the country build all city-based chargers first, or all rural chargers, or a mix of both? Will you build the chargers first and hope people buy the cars, or will you build chargers in response to car purchases? What are the key factors that shaped your proposed charging station plan?

2c. Based on your growth plan, what is the timeline you propose for the full evolution to electric vehicles in your country? To get started, you may wish to consider how long it will take for there to be 10% electric vehicles, 30% electric vehicles, 50% electric vehicles, or 100% electric vehicles on your selected country鈥檚 roads. What are the key factors that shaped your proposed growth plan timeline?

Task 3: Now consider countries with very different geographies, population density distributions, and wealth distributions, such as Australia, China, Indonesia, Saudi Arabia, and Singapore. Would your proposed plan for growing and evolving the network of chargers still apply to each of these countries? What are the key factors that trigger the selection of different approaches to growing the network? Discuss the feasibility of creating a classification system that would help a nation determine the general growth model they should follow in order for them to successfully migrate away from gasoline and diesel vehicles to all electric cars.

Task 4: The technological world continues to change and is impacting transportation options such as car-share and ride-share services, self-driving cars, rapid battery-swap stations for electric cars, and even flying cars and a Hyperloop. Comment on how these technologies might impact your analyses of the increasing use of electric vehicles.

Task 5: Prepare a one-page handout written for the leaders of a wide range of countries who are attending an international energy summit. The handout should identify the key factors the leaders should consider as they return to their home country to develop a national plan to migrate personal transportation towards all-electric cars and set a gas vehicle-ban date.

Your submission should consist of:
    ● One-page Summary Sheet,
    ● One-page handout,
    ● Your solution of no more than 20 pages, for a maximum of 22 pages with your summary and handout.
    ● Note: Reference list and any appendices do not count toward the 22-page limit and should appear after your completed solution.

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【真题在线看】2018 MCM问题C:能源生产

问题标题:能源生产

年份:2018
学生等级:本科生
来源:MCM

问题  
 
背景:能源生产和使用是任何经济体的重要组成部分。在美国,能源政策的许多方面都分散到州一级。此外,不同州的地理和行业差异也会影响能源的使用和生产。1970 年,美国 12 个西部州成立了西部州际能源协议 (WIEC),其使命是促进这些州在开发和管理核能技术方面的合作。州际协议是两个或多个州之间达成的合同安排,这些州就特定政策问题达成一致,并采用一套标准或就特定地区或国家事务相互合作。

问题:在美国与墨西哥的边境,有四个州——加利福尼亚州 (CA)、亚利桑那州 (AZ)、新墨西哥州 (NM) 和德克萨斯州 (TX) — — 这些州希望形成一个切实可行的新能源协议,重点是增加使用更清洁的可再生能源。这四个州的州长要求您的团队进行数据分析和建模,以指导他们制定州际能源协议的一系列目标。

附件数据文件“ ProblemCData.xlsx ”在第一个工作表(“seseds”)中提供了这四个州 50 年的 605 个变量数据,以及一些人口统计和经济信息。此数据集中使用的 605 个变量名称在第二个工作表(“msncodes”)中定义。

第一部分:

A.使用提供的数据,为四个州分别创建能源概况。

B.开发一个模型来描述四个州从 1960 年到 2009 年的能源概况变化情况。分析和解释模型结果,以州长容易理解的方式解决四个州对更清洁、可再生能源的使用问题,并帮助他们了解四个州之间的相似之处和差异。在讨论中包括可能影响相似之处和差异的因素(例如地理、行业、人口和气候)。

C.确定四个州中哪一个在 2009 年似乎拥有使用更清洁、可再生能源的“最佳”概况。解释您的标准和选择。

D.根据这些州能源使用的历史演变,以及您对所建立的州概况之间差异的理解,预测每个州在 2025 年和 2050 年的能源概况(如您所定义),前提是各州长办公室没有任何政策变化。

第二部分:

A.根据您对四个州的比较、您对“最佳”概况的标准以及您的预测,确定 2025 年和 2050 年的可再生能源使用目标,并将其作为新的四州能源协议的目标。

B.确定并讨论四个州为实现其能源紧凑目标可能采取的至少三项行动。

第三部分:

准备一份一页的备忘录给州长小组,总结截至 2009 年的各州概况、在没有政策变化的情况下对能源使用情况的预测,以及您建议的能源契约目标。

您的提交内容应包括:

    ● 一页摘要表,
    ● 一页备忘录,
    ● 您的解决方案不超过 20 页,最多 22 页(包括摘要和备忘录)。
    ●注意:参考列表和任何附录不计入 22 页限制,应出现在您完成的解决方案之后。

题目内容过长,可到文末下载完整版中英文真题


以下是英文版真题

Problem
Background: Energy production and usage are a major portion of any economy. In the United States, many aspects of energy policy are decentralized to the state level. Additionally, the varying geographies and industries of different states affect energy usage and production. In 1970, 12 western states in the U.S. formed the Western Interstate Energy Compact (WIEC), whose mission focused on fostering cooperation between these states for the development and management of nuclear energy technologies. An interstate compact is a contractual arrangement made between two or more states in which these states agree on a specific policy issue and either adopt a set of standards or cooperate with one another on a particular regional or national matter.

Problem: Along the U.S. border with Mexico, there are four states – California (CA), Arizona (AZ), New Mexico (NM), and Texas (TX) 鈥� that wish to form a realistic new energy compact focused on increased usage of cleaner, renewable energy sources. Your team has been asked by the four governors of these states to perform data analysis and modeling to inform their development of a set of goals for their interstate energy compact.
The attached data file "ProblemCData.xlsx" provides in the first worksheet ("seseds") 50 years of data in 605 variables on each of these four states' energy production and consumption, along with some demographic and economic information. The 605 variable names used in this dataset are defined in the second worksheet ("msncodes").

Part I:
A.
 Using the data provided, create an energy profile for each of the four states.

B. Develop a model to characterize how the energy profile of each of the four states has evolved from 1960 – 2009. Analyze and interpret the results of your model to address the four states鈥� usage of cleaner, renewable energy sources in a way that is easily understood by the governors and helps them to understand the similarities and difference between the four states. Include in your discussion possible influential factors of the similarities and differences (e.g. geography, industry, population, and climate).

C. Determine which of the four states appeared to have the "best" profile for use of cleaner, renewable energy in 2009. Explain your criteria and choice.

D. Based on the historical evolution of energy use in these states, and your understanding of the differences between the state profiles you established, predict the energy profile of each state, as you have defined it, for 2025 and 2050 in the absence of any policy changes by each governor's office.

Part II:
A. Based on your comparison between the four states, your criteria for "best" profile, and your predictions, determine renewable energy usage targets for 2025 and 2050 and state them as goals for this new four-state energy compact.

B. Identify and discuss at least three actions the four states might take to meet their energy compact goals.

Part III:
Prepare a one-page memo to the group of Governors summarizing the state profiles as of 2009, your predictions with regard to energy usage absent any policy changes, and your recommended goals for the energy compact to adopt.

Your submission should consist of:
    ● One-page Summary Sheet,
    ● One-page memo,
    ● Your solution of no more than 20 pages, for a maximum of 22 pages with your summary and memo.
    ● Note: Reference list and any appendices do not count toward the 22-page limit and should appear after your completed solution.

Attachments:
ProblemCData.xlsx Includes two worksheets seseds and msncodes.

References:
State Energy Data System (SEDS) Complete Dataset through 2009 (All 50 states) https://catalog.data.gov/dataset/state-energy-data-system-seds-complete-dataset-through-2009#sec-dates

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【真题在线看】2018 MCM问题B:有多少种语言?

 问题标题:有多少种语言?
   
  年份:2018  
  学生等级:本科生  
  来源:MCM

问题

背景:目前地球上大约有 6,900 种语言。大约一半的世界人口声称以下十种语言之一(按使用人数最多的顺序)是母语:普通话(包括标准中文)、西班牙语、英语、印地语、阿拉伯语、孟加拉语、葡萄牙语、俄语、旁遮普语和日语。但是,世界上大部分人口也讲第二语言。当考虑某种语言的使用者总数(母语使用者加上第二或第三语言使用者等)时,语言及其顺序与提供的母语列表不同。某种语言的使用者总数可能会随着时间的推移而增加或减少,因为各种影响包括但不限于一个国家政府使用和/或推广的语言、学校使用的语言、社会压力、文化群体的移民和同化以及与其他语言国家的移民和移居。此外,在我们全球化、相互联系的世界中,还有其他因素使地理上相距遥远的语言能够互动。这些因素包括国际商业关系、全球旅游业的增长、电子通信和社交媒体的使用、以及使用技术协助快速简便的语言翻译。

按使用者总数列出的语言列表。
检索自https://en.wikipedia.org/wiki/List_of_languages_by_total_number_of_speakers,2018年 1 月 17 日。

问题:一家大型跨国服务公司,在美国纽约市和中国上海设有办事处,正在继续扩张,成为真正的国际公司。该公司正在考虑开设更多的国际办事处,并希望每个办事处的员工都能说英语和一种或多种其他语言。该公司的首席运营官聘请了您的团队来调查全球语言趋势和新办事处的地点选择。

第一部分:

A.考虑上述背景段落中描述的影响和因素,以及您的小组可能确定的其他因素。根据预测的趋势以及这些影响和因素中的部分或全部,对各种语言使用者的分布进行建模。B

.使用您的模型预测未来 50 年母语使用者的数量和总语言使用者的数量将发生什么变化。您是否预测当前前十名列表中的任何一种语言(母语使用者或总使用者)将被另一种语言取代?解释一下。C

.鉴于未来 50 年预测的全球人口和人类迁徙模式,这些语言的地理分布是否会在同一时期发生变化?如果会,请描述这种变化。

第二部分:

A.根据第一部分中的模型,假设您的客户公司希望开设六个新的国际办事处,您会将这些办事处设在哪里以及这些办事处将使用哪些语言?您的建议在短期和长期内会有所不同吗?解释您的选择。

B.考虑到全球通信不断变化的性质,为了节省客户公司的资源,您是否会建议该公司开设少于六个国际办事处?请指出您需要哪些其他信息,并描述您将如何分析此选项以向您的客户提供建议。

第三部分:

向服务公司的首席运营官写一份 1-2 页的备忘录,总结您的结果和建议。
注意:在您的分析中,忽略不可预测或影响大、概率低的事件,例如小行星碰撞,这些事件会导致进化趋势随着时间的推移发生灾难性的跳跃,并可能导致所有语言灭绝。

您的提交内容应包括:
● 一页摘要表,
● 两页备忘录,
● 您的解决方案不超过 20 页,最多 23 页(包括摘要和备忘录)。
●注意:参考列表和任何附录不计入 23 页的限制,应出现在您完成的解决方案之后。

题目内容过长,可到文末下载完整版中英文真题


以下是英文版真题

Problem
Background: There are currently about 6,900 languages spoken on Earth. About half the world鈥檚 population claim one of the following ten languages (in order of most speakers) as a native language: Mandarin (incl. Standard Chinese), Spanish, English, Hindi, Arabic, Bengali, Portuguese, Russian, Punjabi, and Japanese. However, much of the world鈥檚 population also speaks a second language. When considering total numbers of speakers of a particular language (native speakers plus second or third, etc. language speakers), the languages and their order change from the native language list provided. The total number of speakers of a language may increase or decrease over time because of a variety of influences to include, but not limited to, the language(s) used and/or promoted by the government in a country, the language(s) used in schools, social pressures, migration and assimilation of cultural groups, and immigration and emigration with countries that speak other languages. Moreover, in our globalized, interconnected world there are additional factors that allow languages that are geographically distant to interact. These factors include international business relations, increased global tourism, the use of electronic communication and social media, and the use of technology to assist in quick and easy language translation.

List of Languages by Total Numbers of Speakers.
Retrieved from https://en.wikipedia.org/wiki/List_of_languages_by_total_number_of_speakers on January 17, 2018.

Problem: A large multinational service company, with offices in New York City in the United States and Shanghai in China, is continuing to expand to become truly international. This company is investigating opening additional international offices and desires to have the employees of each office speak both in English and one or more additional languages. The Chief Operating Officer of the company has hired your team to investigate trends of global languages and location options for new offices.

Part I:

A. Consider the influences and factors described in the background paragraph above, as well as other factors your group may identify. Based on projected trends, and some or all of these influences and factors, model the distribution of various language speakers over time.

B. Use your model to predict what will happen to the numbers of native speakers and total language speakers in the next 50 years. Do you predict that any of the languages in the current top-ten lists (either native speakers or total speakers) will be replaced by another language? Explain.

C. Given the global population and human migration patterns predicted for the next 50 years, do the geographic distributions of these languages change over this same period of time? If so, describe the change.

Part II:

A. Based on your modeling from Part I, and assuming your client company wants to open six new international offices, where might you locate these offices and what languages would be spoken in the offices? Would your recommendations be different in the short term versus the long term? Explain your choices.

B. Considering the changing nature of global communications, and in an effort to save your client company resources, might you suggest that the company open less than six international offices? Indicate what additional information you would need and describe how you would analyze this option in order to advise your client.

Part III:

Write a 1-2 page memo to the Chief Operating Officer of the service company summarizing your results and recommendations.
Note: In your analysis, ignore unpredictable or high-impact, low probability events such as asteroid collisions that would cause a catastrophic jump in evolutionary trends over time, and possibly render all languages extinct.

Your submission should consist of:
    ● One-page Summary Sheet,
    ● Two-page memo,
    ● Your solution of no more than 20 pages, for a maximum of 23 pages with your summary and memo.
    ● Note: Reference list and any appendices do not count toward the 23-page limit and should appearafter your completed solution.

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【真题在线看】2018 MCM问题A:多跳高频无线电传播

问题A标题:多跳高频无线电传播

年份:2018
学生等级:本科生
来源:MCM

问题  
 
背景:在高频(HF,定义为 3 - 30 MHz)下,无线电波可以通过电离层和地球的多次反射传播很长的距离(从地球表面的一个点到地球表面的另一个远点)。对于低于最大可用频率(MUF) 的频率,来自地面源的 HF 无线电波会从电离层反射回地球,然后它们可能会再次反射回电离层,然后它们可能会再次反射回地球,依此类推,每次连续跳跃都会传播得更远。除其他因素外,反射面的特性决定了反射波的强度以及信号在保持有用信号完整性的情况下最终传播的距离。此外,MUF 会随季节、一天中的时间和太阳条件而变化。高于 MUF 的频率不会被反射/折射,而是穿过电离层进入太空。在这个问题中,重点特别放在海洋表面的反射上。经验表明,湍流海洋的反射比平静海洋的反射衰减更大。海洋湍流会影响海水的电磁梯度,改变海洋的局部介电常数和磁导率,并改变反射面的高度和角度。湍流海洋中的波高、形状和频率变化迅速,波的传播方向也可能发生变化。

第一部分:为这种海洋信号反射建立一个数学模型。对于陆地点源 MUF 下方的 100 瓦 HF 恒载波信号,确定湍流海洋第一次反射的强度,并将其与平静海洋第一次反射的强度进行比较。 (请注意,这意味着该信号在电离层发生了一次反射。)如果在平静的海面上发生额外的反射(2 到 n),那么在信号强度降至可用信噪比 (SNR) 阈值 10 dB 以下之前,信号可以进行的最大跳跃次数是多少?

第二部分:您从第一部分得出的结论与山区或崎岖地形与平坦地形的 HF 反射相比如何?

第三部分:穿越海洋的船只将使用 HF 进行通信以及接收天气和交通报告。您的模型如何变化以适应在湍急海洋上移动的船上接收器?使用相同的多跳路径,船只可以保持通信多长时间?

第四部分:准备一份简短(1 到 2 页)的结果摘要,适合作为短文发表在IEEE 通信杂志上。

您的提交应包括:

     ● 一页摘要表,
     ● 两页概要,
     ● 您的解决方案不超过 20 页,最多 23 页,包括摘要和概要。
     ●注意:参考列表和任何附录不计入 23 页的限制,应出现在您完成的解决方案之后。

题目内容过长,可到文末下载完整版中英文真题


以下是英文版真题

Problem
Background: On high frequencies (HF, defined to be 3 - 30 MHz), radio waves can travel long distances (from one point on the earth鈥檚 surface to another distant point on the earth's surface) by multiple reflections off the ionosphere and off the earth. For frequencies below the maximum usable frequency (MUF), HF radio waves from a ground source reflect off the ionosphere back to the earth, where they may reflect again back to the ionosphere, where they may reflect again back to the earth, and so on, travelling further with each successive hop. Among other factors, the characteristics of the reflecting surface determine the strength of the reflected wave and how far the signal will ultimately travel while maintaining useful signal integrity. Also, the MUF varies with the season, time of day, and solar conditions. Frequencies above the MUF are not reflected/refracted, but pass through the ionosphere into space. In this problem, the focus is particularly on reflections off the ocean surface. It has been found empirically that reflections off a turbulent ocean are attenuated more than reflections off a calm ocean. Ocean turbulence will affect the electromagnetic gradient of seawater, altering the local permittivity and permeability of the ocean, and changing the height and angle of the reflection surface. A turbulent ocean is one in which wave heights, shapes, and frequencies change rapidly, and the direction of wave travel may also change.

Problem:

Part I: Develop a mathematical model for this signal reflection off the ocean. For a 100-watt HF constant-carrier signal, below the MUF, from a point source on land, determine the strength of the first reflection off a turbulent ocean and compare it with the strength of a first reflection off a calm ocean. (Note that this means that there has been one reflection of this signal off the ionosphere.) If additional reflections (2 through n) take place off calm oceans, what is the maximum number of hops the signal can take before its strength falls below a usable signal-to-noise ratio (SNR) threshold of 10 dB?

Part II: How do your findings from Part I compare with HF reflections off mountainous or rugged terrain versus smooth terrain?

Part III: A ship travelling across the ocean will use HF for communications and to receive weather and traffic reports. How does your model change to accommodate a shipboard receiver moving on a turbulent ocean? How long can the ship remain in communication using the same multi-hop path?

Part IV: Prepare a short (1 to 2 pages) synopsis of your results suitable for publication as a short note in IEEE Communications Magazine.

Your submission should consist of:
     ● One-page Summary Sheet,
     ● Two-page synopsis,
     ● Your solution of no more than 20 pages, for a maximum of 23 pages with your summaryand synopsis.
     ● Note: Reference list and any appendices do not count toward the 23-page limit andshould appear after your completed solution.

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【真题在线看】2019ICM问题F:通用、去中心化、数字货币—可能吗?

问题标题:通用、去中心化、数字货币—可能吗?

年份:2019
学生等级:本科生
来源:ICM

问题  
 
数字货币可以像传统货币一样用于买卖商品,只是它是数字化的,没有实物表现。数字货币使用户能够即时进行交易,而不受国界的限制。加密货币是数字货币的一个子集,具有隐私、去中心化、安全和加密等独特功能。加密货币在世界各地大受欢迎,从地下狂热爱好发展成为全球公认的现象。比特币和以太坊都是加密货币,其价值都在增长,而投资者预计其他加密货币(如狗狗币或瑞波币)也将快速增长。除了数字货币和加密货币外,还有新的数字金融交易方法,使用户能够仅凭电子邮件地址或指纹即时兑换货币。PayPal、Stripe、Venmo、Zelle、Apple Pay、Square Cash 和 Google Pay 等公司提供的点对点支付系统可在几秒钟内实现全球范围内的虚拟资金流动,而无需通过银行或货币兑换处验证交易。数字交易比现金和支票交易更快,因为它们不受银行政策、国界、公民身份、债务或其他社会经济因素的影响。这些新的货币体系分散了金融交易,让许多人开始思考传统银行业务可能被淘汰的世界。

对加密货币安全性的担忧让公民和经济分析师都感到担忧。这些担忧限制了加密货币在某些社区的发展。另一方面,加密货币之所以如此受欢迎,很大程度上是因为它脱离了传统的过于严格的安全和债务措施,这些措施依赖于大型银行和政府的监督。这些监督机构往往成本高昂、官僚主义严重,有时甚至腐败。一些专家认为,像区块链这样具有内部安全性的通用、分散的数字货币可以通过消除资金流动障碍来提高市场效率。这在大多数公民没有银行账户、无法投资区域或全球金融市场的国家尤为重要。然而,一些政府认为,这些货币缺乏监管和匿名性风险太大,因为它们很容易被用于非法交易,例如避税或购买非法商品。另一些人认为,安全的数字货币提供了一种更方便、更安全的金融交易形式。例如,一种普遍接受的货币将使真正的全球金融市场成为可能,并保护个人资产免受区域通胀波动和区域政府人为操纵货币的影响。如果替代数字系统变得更加成熟,那么关于数字货币将如何影响现有银行系统和国家货币的问题将会出现很多。

您的团队提交的作品应包括:

单页摘要表,
为国家领导人提供一页政策建议,
您的解决方案不超过 20 页,包括摘要和政策建议,最多 22 页。
评委希望获得完整的参考文献列表以及文内引用,但在评审过程中可能不会考虑附录。
注意:参考文献列表和任何附录均不计入 22 页的限制,并且应在完成的解决方案之后出现。

参考:

保罗·克鲁格曼,《哦,加拿大:一个被忽视的国家获得诺贝尔奖》。Slate ,1999 年 10 月 19 日。https : //slate.com/business/1999/10/o-canada.html

Stephanie Lo 和 J. Christina Wang,“比特币是货币吗?”当前的政策观点,

波士顿联邦储备银行,2014 年。https
://www.bostonfed.org/publications/current-policy-perspectives/2014/bitcoin-as-money.aspx或https://www.bostonfed.org/-/media/Documents/Workingpapers/PDF/cpp1404.pdf

词汇表:

匿名性 -未命名或未确定身份的状态;匿名的状态。

区块链——一种可以以可验证和永久的方式记录双方之间交易的记录保存技术;一个包含可在大型公开可访问的分散网络中共享和同时使用的信息的数字数据库。

加密货币——使用加密技术(通过使用代码保护信息)来保证安全的数字或虚拟货币。

数字货币 - [数字货币、电子货币、电子货币] 是一种以数字(电子)形式而非实物(硬币、纸币)形式存在的货币。

非法 –非法或不诚实。

波动 -变化或振荡;上升和下降。

货币——与货币或财务有关,或与货币在经济中供应和流通的机制有关。

国家货币 - [国家货币]由中央银行发行并在特定国家或国家集团内共同使用的货币体系;例如美元 (USD)、人民币 (RMB 或 CNY)、欧元 (EUR)、英镑 (GBP) 和日元 (JPY)。

地下邪教——隐藏或神秘的一群人,对特定的人、信仰或事物有着过度的虔诚。

题目内容过长,可到文末下载完整版中英文真题


以下是英文版真题

Problem
Digital currency can be used like traditional currencies to buy and sell goods, except that it is digital and has no physical representation. Digital currency enables its users to make transactions instantaneously and without any concern for national borders. Cryptocurrency is a subset of digital currency with unique features of privacy, decentralization, security and encryption. Cryptocurrencies have exploded in popularity in various parts of the world; moving from an underground cult interest to a globally accepted phenomenon. Bitcoin and Ethereum, both cryptocurrencies, have grown in value, while investors are projecting rapid growth for other cryptocurrencies such as Dogecoin or Ripple. In addition to digital and cryptocurrencies, there are also new digital methods for financial transactions that enable users to instantaneously exchange money with nothing more than an email address or a thumbprint. Peer-to-peer payment systems offered by companies like PayPal, Stripe, Venmo, Zelle, Apple Pay, Square Cash, and Google Pay offer virtual movement of money across the globe in seconds without ever having to verify the transaction through a bank or currency exchange. Digital transactions outpace cash and check transactions because they are not delayed by banking policies, national borders, citizenship, debts, or other social-economic factors. These new currency systems decentralize financial transactions, leaving many to consider a world where traditional banking may become obsolete.

Concerns about security of cryptocurrencies worry both citizens and economic analysts. These concerns have constrained its growth in some communities. On the other hand, much of the popularity of cryptocurrency is due to its departure from traditional overly-restrictive security and debt measures that rely on oversight by large banks and governments. These oversight institutions are often expensive, deeply bureaucratic, and sometimes corrupt. Some experts believe that a universal, decentralized, digital currency with internal security like blockchain can make markets more efficient by eliminating barriers to the flow of money. This is particularly important in countries where the majority of citizens do not have bank accounts and are unable to invest in regional or global financial markets. Some governments, however, view the lack of regulation around these currencies and their anonymity as too risky because of how easily they can be used in illicit transactions, such as tax sheltering or purchasing illegal merchandise. Others feel that a secure digital currency offers a more convenient and safer form of financial exchange. For instance, a universally accepted currency would enable truly global financial markets and would protect individual assets against regional inflation fluctuations and artificial manipulation of currency by regional governments. If alternative digital systems become more established, there will be many questions about how digital currency will affect current banking systems and nation-based currencies.

Your team’s submission should consist of:

  • One-page Summary Sheet,
  • One-page policy recommendation for national leaders,
  • Your solution of no more than 20 pages, for a maximum of 22 pages with your summary and policy recommendation.
  • Judges expect a complete list of references with in-text citations, but may not consider appendices in the judging process.
  • Note: Reference list and any appendices do not count toward the 22-page limit and should appear after your completed solution.

References:

Paul Krugman, “O Canada: A neglected nation gets its Nobel”. Slate, Oct 19, 1999.
https://slate.com/business/1999/10/o-canada.html

Stephanie Lo and J. Christina Wang, “Bitcoin as Money?” Current Policy Perspectives,

Federal Reserve Bank of Boston, 2014.
https://www.bostonfed.org/publications/current-policy-perspectives/2014/bitcoin-as-money.aspx or https://www.bostonfed.org/-/media/Documents/Workingpapers/PDF/cpp1404.pdf

Glossary:

Anonymity - the state of being unnamed or unidentified; the state of being anonymous.

Blockchain - the record keeping technology that can document transactions between two parties in a verifiable and permanent way; a digital database containing information that can be shared and simultaneously used across a large publicly accessible and decentralized network.

Cryptocurrency - a digital or virtual currency that uses cryptography (protecting information through the use of codes) for security.

Digital Currency - [digital money, electronic money, electronic currency] is a type of currency in digital (electronic) versus physical (coins, paper) form.

Illicit - illegal or dishonest.

Fluctuations - variations or oscillations; rises and falls. .

Monetary -relating to money or finances, or to the mechanisms by which money is supplied to and circulates in the economy.

Nation-based currencies - [national currencies] a system of money issued by a central bank and in common use within a particular nation or group of nations; examples are United States dollar (USD), Chinese renminbi (RMB or CNY), European Euro (EUR), British pound sterling (GBP), and Japanese yen (JPY).

Underground cult - hidden or mysterious group of people sharing an excessive devotion toward a particular person, belief, or thing.

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【真题在线看】2019ICM问题E:环境恶化的代价是什么?

问题标题:环境恶化的代价是什么?

年份:2019
学生等级:本科生
来源:ICM

问题

经济理论经常忽视其决策对生物圈的影响,或假设其资源或容量无限。这种观点是有缺陷的,环境现在正面临其后果。生物圈提供了许多自然过程来维持人类生活的健康和可持续的环境,这些过程被称为生态系统 服务。例子包括将废物转化为食物、水过滤、种植食物、植物授粉以及将二氧化碳转化为氧气。然而,每当人类改变生态系统时,我们都有可能限制或消除生态系统服务。局部小规模的土地利用变化,例如修建几条道路、下水道、桥梁、房屋或工厂,其影响可能看起来可以忽略不计。除了这些小型项目之外,还有大型项目,例如建造或搬迁大型公司总部、修建全国范围的管道或扩建或改造水道以扩大商业用途。现在想想这些项目对一个地区、国家和世界的影响。虽然这些活动单独来看对于生物圈整体的功能潜力来说似乎微不足道,但累积起来却直接影响着生物多样性并造成环境恶化。

传统上,大多数土地利用项目不考虑生态系统服务的影响或变化。减轻土地利用变化的负面结果的经济成本:河流污染、空气质量差、危险废物场、废水处理不当、气候变化等,通常不包括在计划中。是否有可能对土地利用开发项目的环境成本进行估值?这些项目成本中如何考虑环境退化?一旦生态系统服务被计入项目的成本效益比,就可以确定和评估项目的真实和全面估值。 您的 ICM 团队已被聘请创建一个生态服务估值模型,以了解在考虑生态系统服务时土地利用项目的真实经济成本。使用您的模型对不同规模的土地利用开发项目进行成本效益分析,从小型社区项目到大型国家项目。根据您的分析和模型设计评估模型的有效性。您的建模对土地利用项目规划人员和管理者有何影响?您的模型可能需要如何随时间变化?

您的提交应包括:

单页摘要表,
您的解决方案不得超过 20 页,加上摘要最多可达 21 页。
评委希望获得完整的参考文献列表以及文内引用,但在评审过程中可能不会考虑附录。
注意:参考文献列表和任何附录均不计入 21 页的限制,并且应在完成的解决方案后出现。

参考:

Chee, Y.,2004。生态系统服务价值评估的生态学视角。生物保护 120,549-565。

Costanza, R., d'Arge, R., de Groot, R., Farber, S., Grasso, M., Hannon, B., Limburg, K., Naeem, S., O'Neill, RV, Paruelo, J., Raskin, RG, Sutton, P., van den Belt, M., 1997.《世界生态系统服务和自然资本的价值》。《自然》387,253-260。

Gomaz-Baggethuna, E.、de Groot, R.、Lomas, P.、Montesa, C.,2010 年 4 月 1 日。《经济理论与实践中的生态系统服务史:从早期概念到市场和支付方案》。《生态经济学》69(6),1209-1218。

Norgaard, R.,2010 年 4 月 1 日。生态系统服务:从令人大开眼界的隐喻到令人眼花缭乱的复杂性。生态经济学 69(6),1219-1227。

Richmond, A., Kaufmann R., Myneni, R.,2007,《生态系统服务评估:净初级生产力的影子价格》。《生态经济学》64,454-462。

Yang, Q., Liu, G., Casazza, M., Campbell, E., Giannettia, B., Brown, M., 2018 年 12 月。《生态系统服务评估非货币核算新框架的开发》。《生态系统服务》34A,37-54。

数据来源:

美国数据:https://www.data.gov/ecosystems/
卫星数据:https://www.ncdc.noaa.gov/data-access/satellite-data/satellite-data-access-datasets

词汇表:

生物多样性- 指生态系统中生命的多样性;特定区域内的所有生物。

生物圈- 地球上生物所占据的部分,通常包括这些生物与其物理环境之间的相互作用。

生态系统- 生物圈的一个子集,主要关注生物与其物理环境之间的相互作用。

生态系统服务- 人类从自然环境和功能齐全的生态系统中免费获得的众多好处和资产。

环境退化– 指自然过程或人类活动消耗资产而导致的自然环境恶化或破坏。

减轻-使严重性、痛苦性或影响性降低。

估价——指估计或确定某物的当前价值。

题目内容过长,可到文末下载完整版中英文真题


以下是英文版真题

Problem
Economic theory often disregards the impact of its decisions on the biosphere or assumes unlimited resources or capacity for its needs. There is a flaw in this viewpoint, and the environment is now facing the consequences. The biosphere provides many natural processes to maintain a healthy and sustainable environment for human life, which are known as ecosystem services. Examples include turning waste into food, water filtration, growing food, pollinating plants, and converting carbon dioxide into oxygen. However, whenever humans alter the ecosystem, we potentially limit or remove ecosystem services. The impact of local small-scale changes in land use, such as building a few roads, sewers, bridges, houses, or factories may seem negligible. Add to these small projects, large-scale projects such as building or relocating a large corporate headquarters, building a pipeline across the country, or expanding or altering waterways for extended commercial use. Now think about the impact of many of these projects across a region, country, and the world. While individually these activities may seem inconsequential to the total ability of the biosphere’s functioning potential, cumulatively they are directly impacting the biodiversity and causing environmental degradation.

Traditionally, most land use projects do not consider the impact of, or account for changes to, ecosystem services. The economic costs to mitigate negative results of land use changes: polluted rivers, poor air quality, hazardous waste sites, poorly treated waste water, climate changes, etc., are often not included in the plan. Is it possible to put a value on the environmental cost of land use development projects? How would environmental degradation be accounted for in these project costs? Once ecosystem services are accounted for in the cost-benefit ratio of a project, then the true and comprehensive valuation of the project can be determined and assessed.
Your ICM team has been hired to create an ecological services valuation model to understand the true economic costs of land use projects when ecosystem services are considered. Use your model to perform a cost benefit analysis of land use development projects of varying sizes, from small community-based projects to large national projects. Evaluate the effectiveness of your model based on your analyses and model design. What are the implications of your modeling on land use project planners and managers? How might your model need to change over time?
Your submission should consist of:

  • One-page Summary Sheet,
  • Your solution of no more than 20 pages, for a maximum of 21 pages with your summary.
  • Judges expect a complete list of references with in-text citations, but may not consider appendices in the judging process.
  • Note: Reference list and any appendices do not count toward the 21-page limit and should appear after your completed solution.


References:

Chee, Y., 2004. An ecological perspective on the valuation of ecosystem services. Biological Conservation 120, 549-565.

Costanza, R., d’Arge, R., de Groot, R., Farber, S., Grasso, M., Hannon, B., Limburg, K., Naeem, S., O’Neill, R.V., Paruelo, J., Raskin, R.G., Sutton, P., van den Belt, M., 1997. The value of the world’s ecosystem services and natural capital. Nature 387, 253-260.

G贸mez-Baggethuna, E., de Groot, R., Lomas, P., Montesa, C., 1 April 2010. The history of ecosystem services in economic theory and practice: From early notions to markets and payment schemes. Ecological Economics 69 (6), 1209-1218.

Norgaard, R., 1 April 2010. Ecosystem services: From eye-opening metaphor to complexity blinder. Ecological Economics 69 (6), 1219-1227.

Richmond, A., Kaufmann R., Myneni, R., 2007, Valuing ecosystem services: A shadow price for net primary production. Ecological Economics 64, 454-462.

Yang, Q., Liu, G., Casazza, M., Campbell, E., Giannettia, B., Brown, M., December 2018. Development of a new framework for non-monetary accounting on ecosystem services valuation. Ecosystem Services 34A, 37-54.

Data sources:

US based data: https://www.data.gov/ecosystems/
Satellite data: https://www.ncdc.noaa.gov/data-access/satellite-data/satellite-data-access-datasets

Glossary:

Biodiversity - refers to the variety of life in an ecosystem; all of the living organisms within a given area.

Biosphere - the part of the Earth that is occupied by living organisms and generally includes the interaction between these organisms and their physical environment.

Ecosystem - a subset of the biosphere that primarily focuses on the interaction between living things and their physical environment.

Ecosystem Services - the many benefits and assets that humans receive freely from our natural environment and a fully functioning ecosystem.

Environmental Degradation - the deterioration or compromise of the natural environment through consumption of assets either by natural processes or human activities.

Mitigate - to make less severe, painful, or impactful.

Valuation - refers to the estimating or determining the current worth of something.

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【真题在线看】2019 ICM问题D:离开卢浮宫的时间到了

问题标题:离开卢浮宫的时间到了

年份:2019  
学生等级:本科生  
来源:ICM

问题  
 
法国[1]恐怖袭击事件不断增加,因此需要对许多热门目的地的紧急疏散计划进行审查。您的 ICM 团队正在帮助设计法国巴黎卢浮宫的疏散计划。一般来说,疏散的目标是让所有人员尽快安全地离开大楼。收到需要疏散的通知后,人员会从最佳出口撤离,以便尽快清空大楼。

卢浮宫是世界上规模最大、参观人数最多的艺术博物馆之一,2017 年接待了超过 810 万名游客[2]。博物馆的游客数量在一天和一年中都有所不同,这给规划博物馆内的常规流动带来了挑战。游客的多样性——讲各种语言、结伴旅行的团体和残疾游客——使紧急情况下的疏散更加困难。

卢浮宫共有五层,其中两层在地下。

图 1:卢浮宫平面图[3]

这五层楼共设有 38 万件展品,占地面积约为 72,735 平方米,建筑翼长达 480 米或 5 个城市街区[3]。金字塔入口是博物馆的主要和最常用的公共入口。然而,还有另外三个入口通常为拥有博物馆会员资格的团体和个人保留:黎塞留通道入口、卢浮宫旋转木马入口和狮子门入口。卢浮宫有一个在线应用程序“Affluences”(https://www.affluences.com/louvre.php),可以实时更新每个入口的预计等候时间,以方便游客进入博物馆。你的团队可以考虑如何使用技术(包括 Affluences 等应用程序)或其他应用程序来促进你的疏散计划。

只有应急人员和博物馆官员知道实际可用的出口点总数(服务门、员工入口、贵宾入口、紧急出口和君主制建造的旧秘密入口等)。虽然公众对这些出口点的了解可以为疏散计划提供额外的力量,但它们的使用会同时引起安全问题,因为与四个主要入口的安全级别相比,这些出口的安全态势较低或有限。因此,在创建模型时,您的团队应该仔细考虑何时以及如何使用任何额外的出口。

您的主管希望您的 ICM 团队开发一个紧急疏散模型,让博物馆领导探索各种疏散博物馆游客的方案,同时也让应急人员尽快进入大楼。重要的是要确定可能限制向出口移动的潜在瓶颈。博物馆应急规划人员特别感兴趣的是一个可适应的模型,它可以设计用于解决广泛的考虑因素和各种类型的潜在威胁。每种威胁都有可能改变或删除可能的安全路线的片段,这些片段在单一优化路线中可能是必不可少的。一旦开发完成,验证您的模型并讨论卢浮宫如何实现它。

根据你的工作成果,提出卢浮宫应急管理的政策和程序建议。包括你的团队认为对游客安全必要的任何适用的人群管理和控制程序。此外,讨论如何调整和实施你的模型以适应其他大型、拥挤的建筑。

您的提交内容应包括:

单页摘要表,
您的解决方案不得超过 20 页,加上摘要最多可达 21 页。
评委希望获得完整的参考文献列表以及文内引用,但在评审过程中可能不会考虑附录。
注意:参考文献列表和任何附录均不计入 21 页的限制,并且应在完成的解决方案后出现。

题目内容过长,可到文末下载完整版中英文真题


以下是英文版真题

Problem
The increasing number of terror attacks in France[1] requires a review of the emergency evacuation plans at many popular destinations. Your ICM team is helping to design evacuation plans at the Louvre in Paris, France. In general, the goal of evacuation is to have all occupants leave the building as quickly and safely as possible. Upon notification of a required evacuation, individuals egress to and through an optimal exit in order to empty the building as quickly as possible.

The Louvre is one of the world’s largest and most visited art museum, receiving more than 8.1 million visitors in 2017[2]. The number of guests in the museum varies throughout the day and year, which provides challenges in planning for regular movement within the museum. The diversity of visitors -- speaking a variety of languages, groups traveling together, and disabled visitors -- makes evacuation in an emergency even more challenging.

The Louvre has five floors, two of which are underground.


Figure 1: Floor plan of Louvre[3]

The 380,000 exhibits located on these five floors cover approximately 72,735 square meters, with building wings as long as 480 meters or 5 city blocks[3]. The pyramid entrance is the main and most used public entrance to the museum. However, there are also three other entrances usually reserved for groups and individuals with museum memberships: the Passage Richelieu entrance, the Carrousel du Louvre entrance, and the Portes Des Lions entrance. The Louvre has an online application, “Affluences” (https://www.affluences.com/louvre.php), that provides real-time updates on the estimated waiting time at each of these entrances to help facilitate entry to the museum. Your team might consider how technology, to include apps such as Affluences, or others could be used to facilitate your evacuation plan.

Only emergency personnel and museum officials know the actual number of total available exit points (service doors, employee entrances, VIP entrances, emergency exits, and old secret entrances built by the monarchy, etc.). While public awareness of these exit points could provide additional strength to an evacuation plan, their use would simultaneously cause security concerns due to the lower or limited security postures at these exits compared with level of security at the four main entrances. Thus, when creating your model, your team should consider carefully when and how any additional exits might be utilized.

Your supervisor wants your ICM team to develop an emergency evacuation model that allows the museum leaders to explore a range of options to evacuate visitors from the museum, while also allowing emergency personnel to enter the building as quickly as possible. It is important to identify potential bottlenecks that may limit movement towards the exits. The museum emergency planners are especially interested in an adaptable model that can be designed to address a broad set of considerations and various types of potential threats. Each threat has the potential to alter or remove segments of possible routes to safety that may be essential in a single optimized route. Once developed, validate your model(s) and discuss how the Louvre would implement it.

Based on the results of your work, propose policy and procedural recommendations for emergency management of the Louvre. Include any applicable crowd management and control procedures that your team believes are necessary for the safety of the visitors. Additionally, discuss how you could adapt and implement your model(s) for other large, crowded structures.

Your submission should consist of:

  • One-page Summary Sheet,
  • Your solution of no more than 20 pages, for a maximum of 21 pages with your summary.
  • Judges expect a complete list of references with in-text citations, but may not consider appendices in the judging process.
  • Note: Reference list and any appendices do not count toward the 21-page limit and should appear after your completed solution.

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【真题在线看】2019 MCM问题C:阿片类药物危机

问题标题:阿片类药物危机

年份:2019  
学生等级:本科生  
来源:MCM

2019 MCM
问题C:阿片类药物危机

背景:

美国正在经历一场关于使用合成和非合成阿片类药物的全国性危机,这些药物用于治疗和管理疼痛(合法、处方使用)或用于娱乐目的(非法、非处方使用)。美国疾病控制中心(CDC)等联邦机构正在努力“挽救生命,防止这种流行病的负面影响,如阿片类药物滥用障碍、肝炎和艾滋病病毒感染,以及新生儿禁欲综合症”。对美国联邦调查局(FBI)和美国卫生部来说,仅仅执行现有的法律是一个复杂的挑战。

禁毒执法局(DEA)等,这对美国经济的重要部门也有影响。例如,如果阿片类药物危机蔓延到美国人口的所有部分(包括受过大学教育和拥有高级学位的人),需要精确劳动技能、高科技组件组装以及与客户和客户之间敏感的信任或安全关系的企业可能难以填补这些职位。此外,如果老年人中阿片成瘾者的比例增加,保健费用和辅助生活设施的人员配置也将受到影响。

DEA/国家法医实验室信息系统(NFLIS)作为药物管制局(DEA)转用控制办公室的一部分,发布了一份数据量大的年度报告,内容涉及“药物识别结果和联邦、州和地方法医实验室分析的药物案件的相关信息”。NFLIS内的数据库包括来自犯罪实验室的数据,这些实验室处理了美国估计每年120万起国家和地方药物案件中的88%以上。对于这个问题,我们关注位于五个(5)个美国县的个人。州:俄亥俄州、肯塔基州、西弗吉尼亚州、弗吉尼亚和田纳西州。在美国,县是每个拥有税收权的州之下的下一级政府。

为了解决这个问题,我们提供了几个数据集供您使用。第一个文件(MCMNFLIS Data.xlsx)包含2010-2017年这五个州每个县的麻醉镇痛药(合成阿片类药物)和海洛因的药物识别计数,这些数据是由各州犯罪实验室向DEA报告的。当执法机构将证据提交给犯罪实验室作为刑事调查的一部分,而实验室的法医学家对证据进行测试时,就发生了药物识别。通常情况下,当执法机构提交这些样本时,他们会在事件报告中提供位置数据(县)。当证据提交给犯罪实验室,且未提供位置数据时,犯罪实验室会使用提交案件的执法机构所在的市/县/州的地址。为了解决这个问题,你可以假设县的位置数据是正确的。

另外七(7)个文件是压缩文件夹,包含来自美国人口普查局的摘录,代表这五个州的各县在2010-2016年期间收集的一组常见的社会经济因素(ACSxx5YR_DP02.zip)。(注意:2017年的数据不可用。)

每个数据集都包含一个代码表,其中定义了每个已标记的变量。虽然您可以使用其他资源进行研究和背景信息,但提供的每个数据集都包含您应该用于此问题的唯一数据。

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以下是英文版真题


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【真题在线看】2019 MCM问题B:派遣无人机—发展空中救灾系统

 问题标题:派遣无人机:开发空中救灾响应系统
   
  年份:2019  
  学生等级:本科生  
  来源:MCM

2019 MCM问题B

派遣无人机:发展空中救灾系统

背景:

2017年,有史以来袭击美国领土波多黎各的最严重风(见附件1)给该岛造成了严重破坏,造成2900多人死亡。飓风的涌浪和波浪的破坏力相结合,对建筑物、住宅和道路造成了广泛的破坏,特别是在波多黎各的东海岸和东南海岸。这场风暴伴随着猛烈的风暴和暴雨,摧毁了波多黎各80%的电线杆和所有输电线路,导致岛上340万居民基本失去电力。此外,风暴损坏或摧毁了岛上大部分蜂窝通信网络。电力和蜂窝服务中断在岛上大部分地区持续了数月,在某些地区则持续更长时间。广泛的洪水堵塞和破坏了岛上许多高速公路和道路,使紧急服务车辆几乎无法规划和导航路线。波多黎各的破坏程度在一段时间内仍不清楚;数十个地区被隔离,无法通信。对医疗用品、救生设备和治疗的需求使医疗诊所、医院急诊室和非政府组织的救援行动不堪重负。由于慢性病患者转向医院和临时庇护所寻求治疗,对医疗服务的需求在一段时间内继续激增。

问题:在自然灾害期间或之后,非政府组织(NGOS)经常面临提供充分和及时响应的挑战,例如2017年袭击美国波多黎各领士的飓风。特别是,一家名为HELP,Inc.的非政府组织正在尝试通过设计一个称为“DroneGo”的可运输的灾害响应系统来改善其响应能力。DroneGo将使用旋翼无人机来运送预包装的医疗用品并提供高分辨率的空中视频侦察。选定的无人机应该能够同时或分别执行这两项任务--医疗物资运送和视频侦察,具体取决于救援情况和时间表。HELP公司确定了各种候选的旋翼无人机,希望您的团队考虑将其用于设计其DroneGo机队(见附件2、3)。

DroneGo的预包装医疗用品,称为医疗包,旨在增加而不是取代受灾国家当地医疗援助组织在现场提供的用品。HELP公司计划提供三种不同的医疗包,分别称为MED1、MED2和MED3。无人机将在无人机的货舱内携带这些医疗包,以交付给选定地点(见附件4、5)。根据用于运输医疗用品的具体无人机,多个医疗包可能可以在一个无人机货舱中运输。请注意,无人机必须降落在地面上,以便将医疗用品从无人机货舱卸下。无人机的视频功能将为HELP,Inc.的指挥和控制中心提供受损和可维修的运输道路网络的高分辨率视频,以便进行地面路线规划。

HELP,Inc.将使用国际标准化组织(ISO)标准的干散货集装箱,将完整的DroneGo灾害响应系统快速运输到特定灾区。DroneGo机队中所有无人机的单个运输集装箱,以及所有必要的...

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以下是英文版真题

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【真题在线看】2019 MCM问题A:生态博弈

问题标题:2019 MCM问题A

年份:2019  
学生等级:本科生  
来源:MCM

问题

在根据史诗奇幻小说《冰与火之歌》系列改编的虚构电视剧《权力的游戏》中[1],龙之母丹妮莉丝·坦格利安养育了三条龙。刚孵化出来的龙很小,大约 10 公斤,一年后长到大约 30-40 公斤。它们会根据环境和食物量在一生中不断生长。

为了解决这个问题,假设这三条虚构的龙现在还活着。假设上面描述的龙的基本生物学是准确的。你需要对龙做出一些额外的假设,例如,龙能够飞行很远的距离、喷火和抵抗巨大的创伤。在解决问题要求时,应该清楚你的假设与动物的功能、大小、饮食、变化或其他特征的物理限制之间的关系。
你的团队被指派分析龙的特征、行为、习惯、饮食和与环境的互动。为此,你必须考虑许多问题。至少,要解决以下问题:龙的生态影响和要求是什么?龙的能量消耗是多少,它们的卡路里摄入量要求是多少?养活这三条龙需要多大的面积?需要多大的社区来养活一条龙,才能为龙提供不同程度的援助?在解决这些问题时,要清楚你正在考虑哪些因素。

与其他迁徙动物一样,龙可能会迁徙到气候截然不同的世界不同地区。气候条件对你的分析有多重要?例如,将龙在干旱地区、温带地区和北极地区之间迁移会对维持和培育龙所需的资源产生很大影响吗?

当你完成对龙的分析后,就起草一封两页的信给《冰与火之歌》的作者乔治·RR·马丁,指导如何维护故事的现实生态基础,特别是关于龙从干旱地区向温带地区和北极地区的迁徙。

虽然您的龙分析并不直接适用于真实的物理情况,但数学建模本身利用了建模情况时使用的许多现实特征。除了建模活动本身之外,描述和讨论虚构龙领域之外的情况,您的建模工作可能有助于提供信息和见解?

您的提交内容应包括:

● 一页摘要表,
● 两页信函,
● 您的解决方案不超过 20 页,包括摘要和信函,最多 23 页。
● 注意:参考列表和任何附录不计入 23 页的限制,应出现在您完成的解决方案之后。

注意:您不应使用未经授权的图像和材料,因为版权法限制其使用。请谨慎使用和引用您的想法和报告中所用材料的来源。

题目内容过长,可到文末下载完整版中英文真题


以下是英文版真题

Problem

In the fictional television series Game of Thrones, based on the series of epic fantasy novels A Song of Ice and Fire[1], three dragons are raised by Daenerys Targaryen, the “Mother of Dragons.” When hatched, the dragons are small, roughly 10 kg, and after a year grow to roughly 30-40 kg. They continue to grow throughout their life depending on the conditions and amount of food available to them.

For the purposes of this problem, consider these three fictional dragons are living today. Assume that the basic biology of dragons described above is accurate. You will need to make some additional assumptions about dragons that might include, for example, that dragons are able to fly great distances, breath fire, and resist tremendous trauma. As you address the problem requirements, it should be clear how your assumptions are related to the physical constraints of the functions, size, diet, changes, or other characteristics associated with the animals.
Your team is assigned to analyze dragon characteristics, behavior, habits, diet, and interaction with their environment. To do so, you will have to consider many questions. At a minimum, address the following: What is the ecological impact and requirements of the dragons? What are the energy expenditures of the dragons, and what are their caloric intake requirements? How much area is required to support the three dragons? How large a community is necessary to support a dragon for varying levels of assistance that can be provided to the dragons? Be clear about what factors you are considering when addressing these questions.

As with other animals that migrate, dragons might travel to different regions of the world with very different climates. How important are the climate conditions to your analysis? For example, would moving a dragon between an arid region, a warm temperate region, and an arctic region make a big difference in the resources required to maintain and grow a dragon?

Once your dragon analysis is complete, draft a two-page letter to the author of A Song of Ice and Fire, George R.R. Martin, to provide guidance about how to maintain the realistic ecological underpinning of the story, especially with respect to the movement of dragons from arid regions to temperate regions and to arctic regions.

While your dragon analysis does not directly apply to a real physical situation, the mathematical modeling itself makes use of many realistic features used in modeling a situation. Aside from the modeling activities themselves, describe and discuss a situation outside of the realm of fictional dragons that your modeling efforts might help inform and provide insight?

Your submission should consist of:

● One-page Summary Sheet,
● Two-page letter,
● Your solution of no more than 20 pages, for a maximum of 23 pages with your summary and letter.
● Note: Reference list and any appendices do not count toward the 23-page limit and should appear after your completed solution.

NOTE: You should not make use of unauthorized images and materials whose use is restricted by copyright laws. Please be careful in how you use and cite the sources for your ideas and the materials used in your report.

Reference

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