2017HiMCM全球高中生数模赛A题

2017HiMCM数模赛A题

2017HiMCM全球高中生数模赛A题全文如下

Problem A: Drone Clusters as Sky Light Displays

Intel® developed its Shooting Star™ drone and is using clusters of these drones for aerial light

shows. In 2016, a cluster of 500 drones, controlled by a single laptop and one pilot, performed a

beautifully choreographed light show (https://www.youtube.com/watch?v=jNIAzeU8POQ).

Your large city has an annual festival and is considering adding an outdoor aerial light show. The

Mayor has asked your team to investigate the idea of using drones to create three possible sky

displays.

Part I – For each display:

a) Determine the number of drones required and mathematically describe the initial

location for each drone device that will result in the sky display (similar to a fireworks

display) of a static image.

b) Determine the flight paths of each drone or set of drones that would animate your

image and describe the animation. (Note that you do not have to actually write a program

to animate the image, but you do need to mathematically describe the flight paths.)

Display 1: Ferris wheel

Display 2: Dragon

Display 3: Create your own image

Part II – Determine and discuss the requirements for your 3-display light show to include, but

not limited to, the number of drones, required launch area, required air space, safety

considerations, and duration of the aerial light show.

Part III – Write a two-page memo to the Mayor to report the results of your investigation and

make a recommendation as to whether or not to do the aerial light show.

Your submission should consist of:

 One-page Summary Sheet,

 Two-page memo to the Mayor,

 Your solution of no more than 30 pages, for a maximum of 33 pages with your summary and

memo.

 Note: Reference list and any appendices do not count toward the 33-page limit and should

appear after your completed solution.