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# Week 3: Efficiency of loading methods for famous rides in Disney World

![picture](./images/evenoddloading.JPEG)

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# Introduction:
For the last week, I focus on the efficiency of loading methods for famous rides in Disney World. I will share my experience of working on a project that I found interesting and challenging. From the few first day at Disney World, I realize the difference between the loading methods for famous rides and the loading methods for other rides. For instance, the Everest Expedition, which is a popular ride in Magic Kingdom, uses a loading method that is different from the loading method for the other rides. The cast members can chose half of the ride from the even line and the other half from the odd line. Besides that, they can also do even line and single riders to minimize the waiting time for the guests and empty seats.

In this final project, I collect the data from the ride with my friends by going to the ride and counting the number of guests from different lines and the number of empty seats in the ride.

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# Study case:
I want to compare the efficiency of the loading methods by comparing the wating time for the guests and average emtpy seats for the ride, including Everest Expedition and Seven Dwarfs Mine Train. 

**Brief introduce of Everest Expedition**:
- Seperated lines of even and odd
- Single rider line
- Sits up to 34 passengers


**Brief introduce of Seven Dwarfs Mine Train**:
- Seperated lines of even/odd
- Load whole trains with even/odd
- Sits up to 20 passengers

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# Methology:
- Simulated 1000 random party sizes based on the probability of the party size distribution
- Filled up carts to or before maximum capacity
- Average the number of empty seats in the ride

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# Statistic analysis:

<div class="distribution-chart">

![Party size distribution showing relative frequency of groups from 1 to 14 guests](./images/party-size-distribution.svg)

<p class="distribution-chart__caption">Relative frequency of party sizes used to simulate guest arrivals for the loading-method comparison.</p>

</div>

According to the graph, it is clear that the even line is more dominant than the odd line with more than 60% of the total guest on that specific day. 

**Average Empty Seats per Ride - Seven Dwarfs Mine Train**

| Normal Loading System | Even/Odd Loading System |
| --- | --- |
| 1.633 | 1.536 |

**Average Empty Seats per Ride - Everest Expedition**

| Normal Loading System | Even/Odd Loading System | Splitting Cart in Half System |
| --- | --- | --- |
| 1.596 | 1.389 | 2.939 |


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# Takeaways:
- Even/Odd loading system is more efficient than the normal loading system for both rides, but not for single rider because they have to wait longer than others.
- For loading methods, sinlge rider line can be helpful to minimize the empty seats.
- Collect data in person helps to understand the real situation of the ride and the guests.


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# Limits of the Model:
- Actual loading styles vs. our model
  - Our model loads carts strictly from even or odd lines, but cast members often fish for parties of 1–2 to fill empty seats and pull from the single-rider line when a row still has gaps
- Realistic party sizes
- Inconsistent loading styles between cast members
- Unaccounted variables

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# Expansions:
- Collect data for whole days
  - Different crowd levels and party sizes
- Single rider vs. even/odd
- Consider capacity per row
- Compare other loading styles

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## Backlinks

The following sources link to this document:

- [Read post](/blog.index.llm.md)
- [Week 3: Efficiency of loading methods for famous rides](/matm.casestudy.llm.md)