2024美赛B题解析：寻找潜水器Searching for Submersibles

解析：传送门

Maritime Cruises Mini-Submarines （MCMS） 是一家总部位于希腊的公司，负责建造潜水器
能够将人类带到海洋的最深处。潜水器被移动到
位置和部署不受主机船的束缚。MCMS现在希望使用他们的潜水器
带领游客冒险探索爱奥尼亚海底部的沉船残骸。
然而，在他们这样做之前，他们需要通过开发来赢得监管机构的批准
与主机失去通信和可能的机械设备时的安全程序
缺陷，包括潜水器失去推进力。特别是，他们希望你这样做
开发一个模型来预测潜水器随时间推移的位置。与典型搜索不同
在陆地或海面上救援时，有缺陷的潜水器可能会发现
它位于海底或水下的某个中性浮力点。它的位置
可能进一步受到洋流、海洋中不同密度和/或地理环境的影响
海底。您的任务是：
• 定位 - 开发一个模型来预测潜水器随时间推移的位置。
o 与这些预测相关的不确定性是什么？
o 潜水器可以定期向主机发送哪些信息来减少
事件发生前的这些不确定性？什么样的设备会
潜水器需要这样做吗？
• 准备 - 如果有的话，您会向公司推荐哪些额外的搜索设备
如有必要，携带主机进行部署？您可以考虑不同类型的
设备，但还必须考虑与可用性、维护、
此设备的准备和使用情况。救援船可能配备哪些附加设备
如有必要，需要带人协助吗？
• 搜索 - 开发一个模型，该模型将使用位置模型中的信息来
推荐设备的初始部署点和搜索模式，以便
最大限度缩短丢失潜水器的位置Maritime Cruises Mini-Submarines (MCMS), a company based in Greece, builds submersibles
capable of carrying humans to the deepest parts of the ocean. A submersible is moved to the
location and deployed untethered from a host ship. MCMS now wishes to use their submersible
to take tourists on adventures exploring the bottom of the Ionian Sea for sunken shipwrecks.
Before they can do this, however, they need to win approval from regulators by developing
safety procedures in case of a loss of communication to the host ship and possible mechanical
defects including a loss of propulsion of the submersible. In particular, they would like you to
develop a model to predict the location of the submersible over time. Unlike in a typical search
and rescue on land or on the surface of a sea, the defective submersible could potentially find
itself positioned on the sea floor or at some point of neutral buoyancy underwater. Its position
could further be affected by currents, differing densities in the sea, and/or the geography of the
sea floor. Your tasks are to:
• Locate - Develop a model(s) that predicts the location of the submersible over time.
o What are the uncertainties associated with these predictions?
o What information can the submersible periodically send to the host ship to decrease
these uncertainties prior to an incident? What kinds of equipment would the
submersible need to do so?
• Prepare - What, if any, additional search equipment would you recommend the company
carry on the host ship to deploy if necessary? You may consider different types of
equipment but must also consider costs associated with availability, maintenance,
readiness, and usage of this equipment. What additional equipment might a rescue vessel
need to bring in to assist if necessary?
• Search - Develop a model that will use information from your location model(s) to
recommend initial points of deployment and search patterns for the equipment so as to
minimize the time to location of a lost submersible美赛、数学建模、美国大学生数学建模、美赛思路、美国大学生数学建模思路、2024美赛、2024美国大学生数学建模竞赛、2024美赛思路、2024美赛数据、2024美赛A题、2024美赛B题、2024美赛C题、2024美赛D题、2024美赛E题、2024美赛F题、 2024美赛数据、2024美赛论文、2024美赛解析、2024美赛思路、美国大学生数学建模竞赛思路、美赛解析、美赛免费思路