2024 MidMCM Problem C The Modeling Musical Tour Notes-优快云博客

(bk1)Taylor Swift will be wrapping up her record-breaking Eras Tour in December. In total, the tour schedule included 152 shows that each run around 3.5 hours long. For the US shows, approximately 72,000 fans attend each concert bringing in $13 million per

show. This made the Eras tour the first concert tour to earn over $1 billion. (pr1)However, getting a ticket to a concert has been no easy feat for many fans. Tickets can be thousands of dollars and sell out quickly. Taylor Swift has also made headlines for being incredibly generous with the members of her team – giving significant bonuses to band members, dancers, lighting and sound technicians, caterers, truck drivers, and other crew members. However, not all musical performers’ tours are as extreme as The Eras Tour.

You are a tour manager at MidMCM Music Agency. (spm1)A musical performer of your choice (it could be an individual performer like Taylor Swift, a group like i KON, etc.) has approached you to help them plan their next tour. (spm1')Your team needs to analyze the musical performer’s past tours to develop a model to help plan their next tour.

Requirements

1. Get Started. Familiarize yourself with a musical performer and their touring history.

a. (imp1)Choose a musical performer that has had a concert tour in the past.

i. Why did they go on tour?

ii. How long is a tour?

iii. How many shows are in a tour?

iv. Where did they go on tour?

b. (imp2)Investigate one of the musical performer’s past tours to identify the factors that should go into planning a tour. Some things to consider:

i. What factors need to be considered to run a single show on a tour?

ii. What factors need to be considered when planning multiple shows for a tour?

iii. What makes a successful music tour?

2. (spm1'')Create your model. Develop a model to help plan a tour for the musical performer. (Reminder: You can make Assumptions about any information you think you need and can not find.)

a. (rsc1 & imp3)Some things you may consider include, but are not limited to:

i. Number of Concerts

ii. Venues

iii. Ticket Prices

b. (rsc2 & imp4)What will be the “best” plan for the performer to meet their goals for the tour?

i. Maximizing fan attendance?

ii. Maximize venues?

iii. Maximizing profits?

iv. Something else?

3. (spm1''')Apply your model. Analyze the past and plan for the future.

a. Use your model to analyze the past tour you investigated.

i. Identify the strengths and weaknesses of their tour.

ii. Was the tour an overall success or failure?

b. Use your model to help plan a future tour for the musical performer.

i. What aspects of a future tour can your model help with?

ii. What does your model suggest the performer should do on a future tour?

4. (mss1)Share your model. Write a one- to two- page letter to the musical performer that describes a possible new tour that your model has helped plan. Explain why this tour will best meet the goals of going on tour for the musical performer.

5. Reflect. How might you be able to use your model to help plan a tour for anothermusical performer? Will it work for every performer?

Analysis：

这是一道很典型的美赛式的安排规划问题，有非常现实的生活背景，不仅考察数学建模中优化问题的求解能力，而且对实际问题和条件的选择、剥离和转化能力也是重点。

审题：

bk（background）1：演唱会的火热背景；

pr（problem）1：买票难等运营困难；

spm（specific model）1：对于演唱会的安排规划，注意关键词plan，是个典型的规划类的优化模型，后续多次提到也只是重提，spm1'''则是点明对模型结果要用在哪些具体场景里作求解计算；

imp（implication）1：对决策变量的提示，即可以考虑从哪些方面来安排一场演唱会；

imp2：需要考虑一场和多场的不同模型（i & ii），以及暗示决策目标也需要考虑清楚（iii）；

rsc（restrictive condition）1：题中提到的控制变量，基本都得考虑到；

imp3：进一步提示控制变量不止rsc1中提到的，可以增加；

rsc2：题中提到的决策目标，基本都得考虑到；