2014 HiMCM A题特等奖学生论文下载5089
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论文摘要如下:
Director of Transportation,
We’re attempting to optimize the configuration of staircases for a platform. In doing this, the most important thing to consider is the passenger’s safety and happiness while exiting. In our model we strive to minimize first the amount of time it takes for a passenger to exit a train and get to street level and then the amount of time that a passenger stands waiting to use the staircase. We did this based on the assumption that people would be happiest and safest if they can exit the platform quickly without standing in a mob in front of the opening of the stairs.
Keeping this in mind, we compared different platform configurations. For example, although putting one staircase at one end of the platform and putting one staircase in the middle of the platform yields effectively the same time for each passenger to get to street level, in the first configuration the time people arrive at the opening of the stairs is more staggered and therefore people are waiting for the stair for less long. This makes the first configuration better.
Of course, adding more staircases reduces both the total and waiting time for each passenger. Of the configurations with two separate staircases, the one that minimizes these times the best has the stairs on either end of the platform. Anything with the stairs closer to the center of the platform increases waiting time, and a configuration with the two staircases together increases the total time.
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