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美國數(shù)學建模競賽題目(編輯修改稿)

2025-02-07 04:04 本頁面
 

【文章內(nèi)容簡介】 IDS which is resistant to standard firstline drug treatments. Second and thirdline ARV drug therapies are available, but assume for your analysis that these drugs are prohibitively expensive to implement in countries outside of Europe, Japan, and the United States Task 4: Write a white paper to the United Nations providing your team’s remendations on the following: 1. Your remendations for allocation of the resources available for HIV/AIDS among ARV provision and a preventative HIV vaccine 2. Your argument for how to weigh the importance of HIV/AIDS as an international concern relative to other foreign policy priorities 3. Your remendations for how to coordinate donor involvement for HIV/AIDS For (1): assume that between now and 2022 the available financial resources could be allocated so as the speed the development of a preventative HIV vaccine – through directlyfinancing vaccine research and development (Ramp。D), or through other mechanisms. Any gains from such spending would move the date of development you assumed in Task 2 to some earlier date. Here is a zip file which contains a PDF of the problem and all associated data (10) files. (File Size 3MB) 2022 A Flood Planning Lake Murray in central South Carolina is formed by a large earthen dam, which was pleted in 1930 for power production. Model the flooding downstream in the event there is a catastrophic earthquake that breaches the dam. Two particular questions: Rawls Creek is a yearround stream that flows into the Saluda River a short distance downriver from the dam. How much flooding will occur in Rawls Creek from a dam failure, and how far back will it extend? Could the flood be so massive downstream that water would reach up to the . State Capitol Building, which is on a hill overlooking the Congaree River? 2022 B Tollbooths Heavilytraveled toll roads such as the Garden State Parkway, Interstate 95, and so forth, are multilane divided highways that are interrupted at intervals by toll plazas. Because collecting tolls is usually unpopular, it is desirable to minimize motorist annoyance by limiting the amount of traffic disruption caused by the toll plazas. Commonly, a much larger number of tollbooths is provided than the number of travel lanes entering the toll plaza. Upon entering the toll plaza, the flow of vehicles fans out to the larger number of tollbooths, and when leaving the toll plaza, the flow of vehicles is required to squeeze back down to a number of travel lanes equal to the number of travel lanes before the toll plaza. Consequently, when traffic is heavy, congestion increases upon departure from the toll plaza. When traffic is very heavy, congestion also builds at the entry to the toll plaza because of the time required for each vehicle to pay the toll. Make a model to help you determine the optimal number of tollbooths to deploy in a barriertoll plaza. Explicitly consider the scenario where there is exactly one tollbooth per ining travel lane. Under what conditions is this more or less effective than the current practice? Note that the definition of optimal is up to you to determine. 2022 C Nonrenewable Resources Select a vital nonrenewable or exhaustible resource (water, mineral, energy, food, etc.) for which your team can find appropriate worldwide historic data on its endowment, discovery, annual consumption, and price. The modeling tasks are: 1. Using the endowment, discoveries, and consumption data, model the depletion or degradation of the modity over a long horizon using resource modeling principles. 2. Adjust the model to account for future economic, demographic, political and environmental factors. Be sure to reveal the details of your model, provide visualizations of the model’s output, and explain limitations of the model. 3. Create a fair, practical harvesting/management policy that may include economic incentives or disincentives, which sustain the usage over a long period of time while avoiding severe disruption of consumption, degradation or rapid exhaustion of the resource. 4. Develop a security policy that protects the resource against theft, misuse, disruption, and unnecessary degradation or destruction of the resource. Other issues that may need to be addressed are political and security management alternatives associated with these policies. 5. Develop policies to control any short or longterm environmental effects of the harvesting. Be sure to include issues such as pollutants, increased susceptibility to natural disasters, waste handling and storage, and other factors you deem appropriate. 6. Compare this resource with any other alternatives for its purpose. What new science or technologies could be developed to mitigate the use and potential exhaustion of this resource? Develop a research policy to advance these new areas. 2022 A Are Fingerprints Unique? It is a monplace belief that the thumbprint of every human who has ever lived is different. Develop and analyze a model that will allow you to assess the probability that this is true. Compare the odds (that you found in this problem) of misidentification by fingerprint evidence against the odds of misidentification by DNA evidence. 2022 B A Faster QuickPass System QuickPass systems are increasingly appearing to reduce people39。s time waiting in line, whether it is at tollbooths, amusement parks, or elsewhere. Consider the design of a QuickPass system for an amusement park. The amusement park has experimented by offering QuickPasses for several popular rides as a test. The idea is that for certain popular rides you can go to a kiosk near that ride and insert your daily park entrance ticket, and out will e a slip that states that you can return to that ride at a specific time later. For example, you insert your daily park ent
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