2016 HiMCM A题特等奖学生论文下载7055
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论文摘要如下:
1 Summary
Our team’s objective was to organize a traditional open Olympic triathlon for 2000 participants of varying gender, age, and experience level for our town. The mayor asked that we minimize road closure to under 5.5 hours, and our corporate sponsor asked us to minimize congestion so that participants can proceed without hindrance during each phase of the triathlon. A successful event that satisfies both their requests would benefit both the local economy and community.
Our model divided the athletes into 18 divisions by using data from a recent triathlon to approximate the gender, age, and experience level composition of our triathlon. We then created a weighted composite metric to minimize individual congestion, road closure times, and the number of athletes who fail to finish the race. We wrote a NetLogo program to simulate the movement of triathletes in relation to these parameters. The individual speeds of all triathletes were generated probabilistically using a normal distribution (as opposed to deterministic trials) to most accurately represent the unpredictability of open registration. We then developed and evaluated fifteen race day schedules by varying the timing and athleticism of divisionbased “waves”. Since all participants might not finish within the 5.5 hour road closing time, we tested the incorporation of cutoff times as used in most triathlons. The below schedule had, overall, the lowest congestion and the shortest road closure while allowing the most people to finish the race.
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