2015年美国数学建模比赛题目

PROBLEM A: Eradicating Ebola

The world medical association has announced that their new medication could stop Eb ola and cure patients whose disease is not advanced. Build a realistic, sensible, and us eful model that considers not only the spread of the disease, the quantity of the medici ne needed, possible feasible delivery systems, locations of delivery, speed of manufac turing of the vaccine or drug, but also any other critical factors your team considers ne cessary 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.

世界医学协会日前宣布，其新的药物可以阻止埃博拉病毒和治愈患者的疾病（这种疾病没有恶化）。请建立一个现实的、合理的，并且有用的模型。该模型不仅应该考虑如下因素：病毒的传播，所需的药量，可行的输送系统，输送地点，疫苗或药品的制造速度；也应该考虑其他的你们认为建模时必要的因素。这些因素用以优化埃博拉病毒的根除，或者至少优化[①. 埃博拉病毒的目前的分类，strain: 病毒株，这里strain是血统的意思；②埃博拉病毒目前的控制，strain，有抑制之意。] 除了你的建模及其方法，要为世界医学协会出具1-2页的非技术性文档。

PROBLEM B: Searching for a lost plane

Recall the lost Malaysian flight MH370. Build a generic mathematical model that cou ld 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 fl ying 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.

回想一下失联了的马来西亚航班MH370。建立一个通用的数学模型，可以为恐已坠毁的失联飞机规划一个有用的模型以辅助“搜索者”在开阔水域搜索，例如大西洋，太平洋，印度洋，南或北冰洋，这里假设从A点飞行到B点。假定没有从被击落的飞机信号。模型应认识到，当我们搜索的时候可能有许多不同的飞机型号，并且由于经常使用不同的电子器件或传感器，会有不同类型的搜索飞机方法。另外，准备一个1-2页的非技术论文，为航空公司在其新闻发布会提出自己未来的搜寻计划。

ICM PROBLEMS

PROBLEM C: Managing Human Capital in Organizations

Click the title below to download a PDF of the 2015 ICM Problem C.

Your ICM submission should consist of a 1 page Summary Sheet and your solution ca nnot exceed 20 pages for a maximum of 21 pages.

Managing Human Capital in Organizations

PROBLEM D: Is it sustainable?

Click the title below to download a PDF of the 2015 ICM Problem D.

Your ICM submission should consist of a 1 page Summary Sheet and your solution ca nnot exceed 20 pages for a maximum of 21 pages.

Is it sustainable?