请选择 进入手机版 | 继续访问电脑版

QQ登录

只需要一步,快速开始

 注册地址  找回密码
查看: 21331|回复: 87

2020年美赛题目ADE题!

[复制链接]
字体大小: 正常 放大
madio        

3万

主题

1307

听众

5万

积分

  • TA的每日心情
    奋斗
    2021-5-1 20:26
  • 签到天数: 2013 天

    [LV.Master]伴坛终老

    自我介绍
    数学中国站长

    社区QQ达人 邮箱绑定达人 优秀斑竹奖 发帖功臣 风雨历程奖 新人进步奖 最具活力勋章

    群组数学建模培训课堂1

    群组数学中国美赛辅助报名

    群组Matlab讨论组

    群组2013认证赛A题讨论群组

    群组2013认证赛C题讨论群组

    发表于 2020-2-14 05:56 |显示全部楼层
    |招呼Ta 关注Ta |邮箱已经成功绑定
    下面有A题的word导出版!

    2020 ICM Weekend 1Problem D: Teaming StrategiesAs societies become more interconnected, the set of challenges they face have becomeincreasingly complex. We rely on interdisciplinary teams of people with diverse expertise andvaried perspectives to address many of the most challenging problems. Our conceptualunderstanding of team success has advanced significantly over the past 50+ years allowing forbetter scientific, creative, or physical teams to address these complex issues. Researchers havereported on best strategies for assembling teams, optimal interactions among teammates, andideal leadership styles. Strong teams across all sectors and domains are able to perform complextasks unattainable through either individual efforts or a sequence of additive contributions ofteammates.One of the most informative settings to explore team processes is in competitive team sports.Team sports must conform to strict rules that may include, but are not limited to, the number ofplayers, their roles, allowable contact between players, their location and movement, pointsearned, and consequences of violations. Team success is much more than the sum of the abilitiesof individual players. Rather, it is based on many other factors that involve how well theteammates play together. Such factors may include whether the team has a diversity of skills(one person may be fast, while another is precise), how well the team balances betweenindividual versus collective performance (star players may help leverage the skills of all theirteammates), and the team’s ability to effectively coordinate over time (as one player steals theball from an opponent, another player is poised for offense).In light of your modeling skills, the coach of the Huskies, your home soccer (known in Europeand other places as football) team, has asked your company, Intrepid Champion Modeling(ICM), to help understand the team’s dynamics. In particular, the coach has asked you to explorehow the complex interactions among the players on the field impacts their success. The goal isnot only to examine the interactions that lead directly to a score, but to explore team dynamicsthroughout the game and over the entire season, to help identify specific strategies that canimprove teamwork next season. The coach has asked ICM to quantify and formalize thestructural and dynamical features that have been successful (and unsuccessful) for the team. TheHuskies have provided data[1] detailing information from last season, including all 38 games theyplayed against their 19 opponents (they played each opposing team twice). Overall, the datacovers 23,429 passes between 366 players (30 Huskies players, and 336 players from opposingteams), and 59,271 game events.To respond to the Huskie coach’s requests, your team from ICM should use the provided data toaddress the following: Create a network for the ball passing between players, where each player is a node andeach pass constitutes a link between players. Use your passing network to identifynetwork patterns, such as dyadic and triadic configurations and team formations. Alsoconsider other structural indicators and network properties across the games. You should[1] This data set was processed from a much larger dataset covering nearly 2000 matches from five Europeannational soccer competitions, as well as the 2018 World Cup [1].explore multiple scales such as, but not limited to, micro (pairwise) to macro (all players)when looking at interactions, and time such as short (minute-to-minute) to long (entiregame or entire season). Identify performance indicators that reflect successful teamwork (in addition to points orwins) such as diversity in the types of plays, coordination among players or distributionof contributions. You also may consider other team level processes, such as adaptability,flexibility, tempo, or flow. It may be important to clarify whether strategies areuniversally effective or dependent on opponents’ counter-strategies. Use the performanceindicators and team level processes that you have identified to create a model thatcaptures structural, configurational, and dynamical aspects of teamwork. Use the insights gained from your teamwork model to inform the coach about what kindsof structural strategies have been effective for the Huskies. Advise the coach on whatchanges the network analysis indicates that they should make next season to improveteam success. Your analysis of the Huskies has allowed you to consider group dynamics in a controlledsetting of a team sport. Understanding the complex set of factors that make some groupsperform better than others is critical for how societies develop and innovate. As oursocieties increasingly solve problems involving teams, can you generalize your findingsto say something about how to design more effective teams? What other aspects ofteamwork would need to be captured to develop generalized models of teamperformance?Your submission should consist of: One-page Summary Sheet Table of Contents Your solution of no more than 20 pages, for a maximum of 22 pages with your summaryand table of contents.Note: Reference List and any appendices do not count toward the page limit and should appearafter your completed solution. You should not make use of unauthorized images and materialswhose use is restricted by copyright laws. Ensure you cite the sources for your ideas and thematerials used in your report.Attachment2020_Problem_D_DATA.zipfullevents.csvmatches.csvpassingevents.csvREADME.txtGlossaryDyadic Configurations: relationships involving pairs of players.Triadic Configurations: relationships involving groups of three players.Cited Reference[1] Pappalardo, L., Cintia, P., Rossi, A. et al. A public data set of spatio-temporal match eventsin soccer competitions. Sci Data 6, 236 (2019).Optional ResourcesResearch in football (soccer) networks has led to many articles that discuss related topics. A fewarticles are listed below. You are not required to use any of these sample articles in yoursolution, nor is it a comprehensive list. We encourage teams to utilize any journal article thatsupports their approach to the problem.Buldú, J.M., Busquets, J., Echegoyen, I. et al. (2019). Defining a historic football team: UsingNetwork Science to analyze Guardiola’s F.C. Barcelona. Sci Rep, 9, 13602.Cintia, P., Giannotti, F., Pappalardo, L., Pedreschi, D., & Malvaldi, M. (2015). The harsh rule ofthe goals: Data-driven performance indicators for football teams. 2015 IEEE InternationalConference on Data Science and Advanced Analytics (DSAA), 1-10, 7344823.Duch J., Waitzman J.S., Amaral L.A.N. (2010). Quantifying the performance of individualplayers in a team activity. PLoS ONE, 5: e10937.GüRSAKAL, N., YILMAZ, F., ÇOBANOĞLU, H., ÇAĞLIYOR, S. (2018). Network Motifs inFootball. Turkish Journal of Sport and Exercise, 20 (3), 263-272.

    2020 ICM Weekend 1
    Problem E: Drowning in Plastic
    Since the 1950s, the manufacturing of plastics has grown exponentially because of its variety of uses, such as food packaging, consumer products, medical devices, and construction. While there are significant benefits, the negative implications associated with increased production of plastics are concerning. Plastic products do not readily break down, are difficult to dispose of, and only about 9% of plastics are recycled[1]. Effects can be seen by the approximately 4-12 million tons of plastic waste that enter the oceans each year[1,2]. Plastic waste has severe environmental consequences and it is predicted that if our current trends continue, the oceans will be filled with more plastic than fish by 2050[2]. The effect on marine life has been studied[3], but the effects on human health are not yet completely understood[4]. The rise of single-use and disposable plastic products results in entire industries dedicated to creating plastic waste. It also suggests that the amount of time the product is useful is significantly shorter than the time it takes to properly mitigate the plastic waste. Consequently, to solve the plastic waste problem, we need to slow down the flow of plastic production and improve how we manage plastic waste.
    Your team has been hired by the International Council of Plastic Waste Management (ICM) to address this escalating environmental crisis. You must develop a plan to significantly reduce, if not eliminate, single-use and disposable plastic product waste.
     Develop a model to estimate the maximum levels of single-use or disposable plastic product waste that can safely be mitigated without further environmental damage. You may need to consider, among many factors, the source of this waste, the extent of the current waste problem, and the availability of resources to process the waste.
     Discuss to what extent plastic waste can be reduced to reach an environmentally safe level. This may involve considering factors impacting the levels of plastic waste to include, but not limited to, sources and uses of single-use or disposable plastics, the availability of alternatives to plastics, the impact on the lives of citizens, or policies of cities, regions, countries, and continents to decrease single-use or disposable plastic and the effectiveness of such policies. These can vary between regions, so considering regional-specific constraints may make some policies more effective than others.
     Using your model and discussion, set a target for the minimal achievable level of global waste of single-use or disposable plastic products and discuss the impacts for achieving such levels. You may consider ways in which human life is altered, the environmental impacts, or the effects on the multi-trillion-dollar plastic industry.
     While this is a global problem, the causes and effects are not equally distributed across nations or regions. Discuss the equity issues that arise from the global crisis and your intended solutions. How do you suggest ICM address these issues?
     Write a two-page memo to the ICM describing a realistic global target minimum achievable level of global single-use or disposable plastic product waste, a timeline to
    reach this level, and any circumstances that may accelerate or hinder the achievement of your target and timeline.
    Your submission should consist of:
     One-page Summary Sheet
     Table of Contents
     Two-page Memo
     Your solution of no more than 20 pages, for a maximum of 24 pages with your summary, table of contents, and two-page memo.
    Note: Reference List and any appendices do not count toward the page limit and should appear after your completed solution. You should not make use of unauthorized images and materials whose use is restricted by copyright laws. Ensure you cite the sources for your ideas and the materials used in your report.
    Glossary
    Disposable Plastic Products: plastic materials or products that are not recyclable and become trash.
    Mitigate: To make less severe, to moderate, to alleviate.
    Plastic Waste: plastic objects that have not been recycled properly or cannot be recycled; debris made of plastic.
    Single-Use Plastic Products: products made of plastic intended for one time use before being discarded.
    Cited References
    [1] Geyer, R., Jambeck, J. R., & Law, K. L. (2017). Production, use, and fate of all plastics ever made. Science Advances, 3(7), e1700782.
    [2] Jambeck, J. R., Geyer, R., Wilcox, C., Siegler, T. R., Perryman, M., Andrady, A., … & Law, K. L. (2015). Plastic waste inputs from land into the ocean. Science, 347(6223), 768-771.
    [3] Li, W. C., Tse, H. F., & Fok, L. (2016). Plastic waste in the marine environment: A review of sources, occurrence and effects. Science of the Total Environment, 566, 333-349.
    [4] Galloway T.S. (2015) Micro- and Nano-plastics and Human Health. In: Bergmann M., Gutow L., Klages M. (eds) Marine Anthropogenic Litter.



    2020年美赛题目ADE.rar

    2.27 MB, 下载次数: 380, 下载积分: 体力 -2 点

    2020 MCM Weekend 1 Problem A.docx

    17.87 KB, 下载次数: 110, 下载积分: 体力 -2 点

    zan
    数学建模社会化
    cangling        

    0

    主题

    1

    听众

    3

    积分

    升级  60%

    该用户从未签到

    回复

    使用道具 举报

    cangling        

    0

    主题

    1

    听众

    3

    积分

    升级  60%

    该用户从未签到

    回复

    使用道具 举报

    476887327        

    0

    主题

    1

    听众

    55

    积分

    升级  52.63%

  • TA的每日心情
    奋斗
    2021-1-3 11:57
  • 签到天数: 16 天

    [LV.4]偶尔看看III

    自我介绍
    大家好
    回复

    使用道具 举报

    lijiaqi99        

    0

    主题

    0

    听众

    4

    积分

    升级  80%

    该用户从未签到

    自我介绍
    还行吧
    回复

    使用道具 举报

    0

    主题

    1

    听众

    2

    积分

    升级  40%

    该用户从未签到

    回复

    使用道具 举报

    48866078        

    1

    主题

    1

    听众

    13

    积分

    升级  8.42%

  • TA的每日心情

    2022-2-18 12:31
  • 签到天数: 8 天

    [LV.3]偶尔看看II

    网络挑战赛参赛者

    邮箱绑定达人

    2020 MCM Weekend 1  Problem A: Moving north  Global ocean temperatures affect the quality of habitats for certain ocean-dwelling species When temperature changes are too great for their continued thriving, these species move to seek other habitats better suited to their present and future living and reproductive success. One example of this is seen in the lobster population of maine usa that is slowly migrating north to Canada where the lower ocean temperatures provide a more suitable habitat. This geographic population shift can significantly disrupt the livelihood of companies who depend on the stability  of ocean-dwelling species  Your team has been hired as consultants by a Scottish North Atlantic fishery management  consortium. The consortium wants to gain a better understanding of issues related to the potential migration of Scottish herring and mackerel from their current habitats near Scotland if and when global ocean temperatures increase. These two fish species represent a significant economic  contribution to the Scottish fishing industry. Changes in population locations of herring and  mackerel could make it economically impractical for smaller Scotland-based fishing companies,  who use fishing vessels without on-board refrigeration, to harvest and deliver fresh fish to  markets in Scotland fishing ports  Requirements  1.        Build a mathematical model to identify the most likely locations for these two fish species over the next 50 years, assuming that water temperatures are going to change enough to cause the populations to move  2.        Based upon how rapidly the ocean water temperature change occurs, use your model to predict best case, worst case, and most likely elapsed time(s)until these populations will be too far away for small fishing companies to harvest if the small fishing companies continue to operate out of their current locations  3.        In light of your predictive analysis, should these small fishing companies make changes to  heir operations?   If yes, use your model to identify and assess practical and economically attractive strategies for small fishing companies. Your strategies should consider, but not be limited  to, realistic options that include  Relocating some or all of a fishing companys assets from a current location in a Scottish port to closer to where both fish populations are moving  Using some proportion of small fishing vessels capable of operating without land based support for a period of time while still ensuring the freshness and high quality  of the catch  Other options that your team may identify and model  b. If your team rejects the need for any changes justify reasons for your rejection based on your modeling results as they relate to the assumptions your team has made       Sinker                                          Hook Line and
    回复

    使用道具 举报

    48866078        

    1

    主题

    1

    听众

    13

    积分

    升级  8.42%

  • TA的每日心情

    2022-2-18 12:31
  • 签到天数: 8 天

    [LV.3]偶尔看看II

    网络挑战赛参赛者

    邮箱绑定达人

    2020 MCM Weekend 1

    Problem A: Moving north

    Global ocean temperatures affect the quality of habitats for certain ocean-dwelling species When temperature changes are too great for their continued thriving, these species move to seek other habitats better suited to their present and future living and reproductive success. One example of this is seen in the lobster population of maine usa that is slowly migrating north to Canada where the lower ocean temperatures provide a more suitable habitat. This geographic population shift can significantly disrupt the livelihood of companies who depend on the stability

    of ocean-dwelling species

    Your team has been hired as consultants by a Scottish North Atlantic fishery management

    consortium. The consortium wants to gain a better understanding of issues related to the potential migration of Scottish herring and mackerel from their current habitats near Scotland if and when global ocean temperatures increase. These two fish species represent a significant economic

    contribution to the Scottish fishing industry. Changes in population locations of herring and

    mackerel could make it economically impractical for smaller Scotland-based fishing companies,

    who use fishing vessels without on-board refrigeration, to harvest and deliver fresh fish to

    markets in Scotland fishing ports

    Requirements

    1.        Build a mathematical model to identify the most likely locations for these two fish species over the next 50 years, assuming that water temperatures are going to change enough to cause the populations to move

    2.        Based upon how rapidly the ocean water temperature change occurs, use your model to predict best case, worst case, and most likely elapsed time(s)until these populations will be too far away for small fishing companies to harvest if the small fishing companies continue to operate out of their current locations

    3.        In light of your predictive analysis, should these small fishing companies make changes to

    heir operations?


    If yes, use your model to identify and assess practical and economically attractive strategies for small fishing companies. Your strategies should consider, but not be limited

    to, realistic options that include

    Relocating some or all of a fishing companys assets from a current location in a Scottish port to closer to where both fish populations are moving

    Using some proportion of small fishing vessels capable of operating without land based support for a period of time while still ensuring the freshness and high quality

    of the catch

    Other options that your team may identify and model

    b. If your team rejects the need for any changes justify reasons for your rejection based on your modeling results as they relate to the assumptions your team has made





    Sinker







                                     Hook Line and


    回复

    使用道具 举报

    Loki11248        

    0

    主题

    1

    听众

    42

    积分

    升级  38.95%

  • TA的每日心情
    开心
    2020-2-14 13:24
  • 签到天数: 1 天

    [LV.1]初来乍到

    回复

    使用道具 举报

    274927760 实名认证       

    4

    主题

    1

    听众

    6

    积分

    升级  1.05%

  • TA的每日心情

    2020-3-7 17:16
  • 签到天数: 2 天

    [LV.1]初来乍到

    回复

    使用道具 举报

    您需要登录后才可以回帖 登录 | 注册地址

    qq
    收缩
    • 电话咨询

    • 04714969085
    fastpost

    关于我们| 联系我们| 诚征英才| 对外合作| 产品服务| QQ

    手机版|Archiver| |繁體中文 手机客户端  

    蒙公网安备 15010502000194号

    Powered by Discuz! X2.5   © 2001-2013 数学建模网-数学中国 ( 蒙ICP备14002410号-3 蒙BBS备-0002号 )     论坛法律顾问:王兆丰

    GMT+8, 2024-3-29 04:20 , Processed in 0.691756 second(s), 108 queries .

    回顶部