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: 5484|回复: 5

2019第八届数学中国数学建模国际赛(小美赛)赛题

[复制链接]
字体大小: 正常 放大
madio        

3万

主题

1306

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 2019-11-20 07:43 |显示全部楼层
    |招呼Ta 关注Ta |邮箱已经成功绑定
    2019第八届数学中国数学建模国际赛(小美赛)赛题.rar (2.42 MB, 下载次数: 62)
    Problem A(MCM)
    Heat from radioactivity
    Suppose we make a piece of radioactive material with a long half-life into a specific
    shape. In this material, the nucleus releases a proton in a random direction
    as it decays. We assume that the energy of the proton carrying is a constant.
    Protons, when they pass through the dense material itself, release the energy
    they carry and convert it into heat. The relationship between the proton’s energy
    release rate and its travel distance in the material is in accordance with
    the Bragg peak curve1, that is, most of the energy is released when it travels to
    a certain constant distance. We put this material in water, and we can assume
    the Bragg peak curve of the proton in water is the same as in the material.
    The question is what shape is the material made to maximize the total energy
    released by the proton in the material?


    Problem B(MCM)
    The Cold Air Outlet Design in a Data Center
    This is a problem faced by air conditioning design in data centers. In some
    data centers, computer cabinets are open and arranged in three or four rows in a
    room. The cooled air enters the room through the main pipe and is divided into
    three or four branch pipes. The outlet of the branch pipe can only be placed on
    the ceiling, blowing down, and hot air is discharged from a hot air containment
    at one side of the room. The outlet of each branch pipe should not exceed
    three1. Due to the mixing of cold air and hot air, the utilization efficiency of
    cold air is reduced. Therefore, we need to consider air flow to reduce the cooling
    amount wasted in corridors and gaps.
    We need to take into account the height of the ceiling, the height of the
    cabinet and the typical heat output of different cabinets. We assume that the
    total cooling capacity of the air conditioner can meet the requirements of the
    operation of the equipment room. When we determine the layout of the cabinet,
    how to set the position of the air conditioning air outlet is the best solution?


    Problem C(ICM)
    Predict the Time Required to Pass a Congested Road
    Section
    In the navigation software, the estimation of travel time is often an important
    function. Existing navigation software often obtains real-time GPS data through
    the taxies or the vehicles installed the software to determine the current road
    conditions. In the case of severe traffic jams, the speed of the car is slow,
    so the estimation of the speed is very inaccurate. The consequence is that the
    accuracy of the estimated traffic jam time is very poor. The actual time required
    is sometimes even several times to ten times different from the forecast time.
    Our question is how to predict the time to pass the traffic jam? Please collect
    the available data and build a more accurate model to solve this problem.


    Problem D(ICM)
    What is the Answer for Secure Elections?
    With the U.S. heading into a pivotal election, little progress has been made on
    ensuring the integrity of voting systemsa concern that retook the spotlight when
    the 2016 presidential election ushered Donald Trump into theWhite House amid
    allegations of foreign interference.
    Existing voting systems do leave plenty of room for suspicion: Voter impersonation
    is theoretically possible (although investigations haverepeatedlyfoundnegligible
    rates for this in the U.S.); mail-in votes can bealtered or stolen;
    election officials might count inaccurately; and nearly every electronic voting
    machine hasprovedhackable. Not surprisingly, a Gallup poll published prior
    to the 2016 election founda third of Americansdoubted votes would be tallied
    properly.
    Blockchain advocates say the technology addresses the root cause of voting
    systems insecuritythe fact that voting can be controlled by a single person,
    group or machine.Argentinas Net Party provides an example of what can go
    wrong. The tiny political party fields candidates who promise to strictly follow
    citizens bidding as expressed on an online polling platform. When its leaders
    were pondering interparty alliances in early 2014, they put the decision to a vote
    among party members. To their horror, they discovered database administrators
    were selectively delaying new voter registrations until after the referendum,
    skewing the participant pool toward the administrators preferred outcome.
    Blockchain, the technology behind the bitcoin digital currency, is a decentralized
    public ledger of transactions that no one person or company owns or
    controls. Instead, every user can access the entire blockchain, and every transfer
    of funds from one account to another is recorded in a secure and verifiable form
    by using mathematical techniques borrowed from cryptography. With copies
    of the blockchain scattered all over the planet, it is considered to be effectively
    tamper-proof.
    The challenges that bitcoin poses to law enforcement and international currency
    controls have been widely discussed. But the blockchain ledger has uses
    far beyond simple monetary transactions.
    Perhaps the most encouraging benefit of blockchain technology is the incen-
    1
    tive it creates for participants to work honestly where rules apply equally to
    all. Bitcoin did lead to some famous abuses in trading of contraband, and some
    nefarious applications of blockchain technology are probably inevitable. The
    technology doesnt make theft impossible, just harder. But as an infrastructure
    that improves societys public records repository and reinforces representative
    and participatory legal and governance systems, blockchain technology has the
    potential to enhance privacy, security and freedom of conveyance of datawhich
    surely ranks up there with life, liberty and the pursuit of happiness.
    Functionally, a blockchain is simply a convoluted database. Each entry in
    Bitcoins database, for example, is a transaction in a digital ledger. The ledger
    publicly lists all transactions to date, implicitly specifying who retains how
    much money. What distinguishes a blockchain from conventional databases is
    that it enables multiple parties to share a database without centralized control.
    Most conventional databases have one authoritative computer that governs the
    process of adding data. In a blockchain, that trusted gatekeeper is replaced by
    computers all over the internet, each maintaining its own copy of the database.
    These computers act as validators for new data: When Alice wants to send
    money to Bob, she broadcasts the transaction to the validators, which must
    confirm for themselves the transaction adheres to the blockchains rules (for
    example, that Alice has not sent more bitcoins than she owns). Once a majority
    of the network has accepted the transactions, they become the de facto consensus
    history.
    Although blockchains most prominent uses are monetary, there is no reason
    they cannot store other types of dataand votes would seem an excellent fit. An
    ideal voting system resists corruption by authorities or hackers and empowers
    citizens and auditors to agree on an elections outcome. Conveniently, auditable
    consensus among parties who do not fully trust one another is exactly what
    blockchains offer.
    Are Blockchains the Answer for Secure Elections?Probably Not.
    Suppose you are a technical advisor of the general election inspection committee.
    You should finish the following tasks:
    1. Build an underlying design or set of algorithms to solve the problem of
    online voting using blockchain technology.
    2. Evaluate the possible problems of blockchain technology in solving voting
    problems, and try to improve it.
    3. Experts in both cybersecurity and voting see blockchains as needlessly
    complicated, and no more secure than otheronlineballots. Is it possible to
    2
    reduce the complexity of blockchain technology and improve security by
    combining with other technologies?
    4. Write a one-page technical note describing your new idea, algorithm, and
    results.
    Your submission should consist of:
    • One-page Summary Sheet,
    • One-page Technical Note,
    • Your solution of no more than 30 pages, for a maximum of 32 pages with
    your summary and technical note.
    Note: Reference list and any appendices do not count toward the 32-page
    limit and should appear after your completed solution.


    zan
    数学建模社会化
    lullaby00 实名认证       

    1

    主题

    2

    听众

    71

    积分

    升级  69.47%

    该用户从未签到

    国际赛参赛者

    回复

    使用道具 举报

    1

    主题

    3

    听众

    266

    积分

    升级  83%

    该用户从未签到

    国际赛参赛者

    自我介绍
    硕士研究生
    回复

    使用道具 举报

    1

    主题

    2

    听众

    7

    积分

    升级  2.11%

    该用户从未签到

    回复

    使用道具 举报

    1

    主题

    2

    听众

    7

    积分

    升级  2.11%

    该用户从未签到

    回复

    使用道具 举报

    1

    主题

    2

    听众

    7

    积分

    升级  2.11%

    该用户从未签到

    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, 2023-1-29 01:52 , Processed in 1.071400 second(s), 81 queries .

    回顶部