2015年数学建模美赛题目AB

问题一：根除病毒
世界医学协会已经宣布他们的新药物能阻止埃博拉病毒和治愈患者的疾病不先进。建立一个现实的，明智的，和有用的模型，不仅考虑了疾病的蔓延，需要药物的量，可能可行的输送系统，输送的位置，疫苗或药物的生产速度，但也有其他重要因素，你的团队认为有必要作为模型的一部分来优化埃博拉病毒根除，或者至少目前的应变。除了你的建模方法的较量，准备为世界医学协会使用在其公告1-2页的非技术性的信。
问题B：寻找失踪的飞机
回忆失去的马来西亚mh370飞行。建立一个通用的数学模型，可以帮助“搜索”规划的一个有用的寻找失踪的飞机可能坠毁在开放水域如大西洋，太平洋，印度，南，或北冰洋而从A点到B点飞行假设有从坠落的飞机没有信号。你的模型应该认识到有许多不同类型的飞机，我们可以搜索，有许多不同类型的搜索飞机，经常使用不同的电子或传感器。另外，准备一个1-2页的非技术对航空公司的使用在他们的新闻发布会，关于他们未来的搜索计划。


2015 Contest Problems
MCM PROBLEMS


PROBLEM A: Eradicating Ebola
The world medical association has announced that their new medication could stop Ebola and cure patients whose disease is not advanced. Build a realistic, sensible, and useful model that considers not only the spread of the disease, the quantity of the medicine needed, possible feasible delivery systems, locations of delivery, speed of manufacturing of the vaccine or drug, but also any other critical factors your team considers necessary as part of the model to optimize the eradication of Ebola, or at least its current strain. In addition to your modeling approach for the contest, prepare a 1-2 page non-technical letter for the world medical association to use in their announcement.




PROBLEM B: Searching for a lost plane
Recall the lost Malaysian flight MH370. Build a generic mathematical model that could assist "searchers" in planning a useful search for a lost plane feared to have crashed in open water such as the Atlantic, Pacific, Indian, Southern, or Arctic Ocean while flying from Point A to Point B. Assume that there are no signals from the downed plane. Your model should recognize that there are many different types of planes for which we might be searching and that there are many different types of search planes, often using different electronics or sensors. Additionally, prepare a 1-2 page non-technical paper for the airlines to use in their press conferences concerning their plan for future searches.