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Showing posts with label Lindsay. Show all posts
Showing posts with label Lindsay. Show all posts

Thursday, May 26, 2016

Day 15: Spy Kids

Hi everyone! It’s Lindsay and McKenna with your day 15 blog post. It’s hard to believe that we only have a week left! 

Morning of Math
We started off this morning with another class in Dr. Hutson and Dr. Harris’s hotel room. The morning’s subject was hypothesis testing. This is something all of us do every day, although we may not be aware of it or be making any explicit calculations. Dr. Harris introduced the concept by playing a game with cards. Zack picked 10 cards from a deck, one at a time, to see how many red cards he would draw. We were all surprised when the first four cards he drew were red, and by the 6th or 7th red card we were all very suspicious. After Zack had drawn his tenth red card in a row, Dr. Harris revealed to us that all of the cards in the deck except for one were red.

Our suspicion of Dr. Harris’s deck is an example of using hypothesis testing. We started off with the assumption that half the cards in the deck were red and half were black. If this assumption were true, the likelihood of Zack drawing all red cards would have been extremely low (a 1 in 1024 chance). Statistical testing follows a similar method. We first start off with a “null hypothesis.” In the example from this morning, the null hypothesis was that the deck contained half red cards and half black cards. If the analysis makes it very unlikely that the null hypothesis is true, we reject the null hypothesis.

Lunch with Lara Larberg
After class, we headed to Pammie’s Sammies for lunch and a meeting with Furman alumna, Lara Larberg. Lara works for Universal Studios, and while the May X is called “Math and the Mouse,” we thought it would be really cool to sneak over to the “other side” to see how she uses math in her job at Universal. Lara is the Assistant Project Manager for Universal, so basically she manages over twenty interactive effects. Her most recent project is Volcano Bay, which will be opening in 2017 in Orlando. Lara graduated summa cum laude from Furman in 2006 with degrees in music and sociology. She also had a non-degreed focus and passion for theatre. It was actually her involvement with the Pauper Players that she credits for propelling her into her career.  Lara couldn’t stress enough how important her Furman education was for getting her to where she is today. She noted that although it may not seem like she is using her two degrees specifically, she is using all of the skills and connections she acquired at Furman. Furthermore, she was also quick to point out that even though she started working more with the creative side of things, she now works very closely with industrial engineers. Her work combines art and math to produce an awesome interactive experience.

Projects at the Park
After our meeting, we headed to Magic Kingdom to do a bit of spying, otherwise known as more data collection. As yesterday’s blog post mentioned, we all spent some time making observations about several characters. Today, we were able to split off into our groups to focus on our particular topics.

My (Lindsay), Mary Lib, Molly, and Maria’s group is comparing FastPass+ lines to the regular standby lines. We want to determine whether getting a FastPass actually saves you a significant amount of time. To do this, we are collecting data from the three Mountains in Magic Kingdom—Big Thunder Mountain, Splash Mountain, and Space Mountain. Since we won’t be going back to Magic Kingdom again until Tuesday (our last day!) today was our only chance to collect data. Luckily, the other groups were very supportive and helped us collected data. We collected many types of data, but my personal favorite was counting the number of people entering and exiting the line. I’m sure we all looked very suspicious sitting by ride entrances and exits counting people walking by and scribbling in notepads.

Like Johanna yesterday, I (McKenna) am in “the character group.” While the data we were gathering was the same as yesterday (number of families in line, number who entered and exited, time spent by the character with each family, and number of autographs per family), the characters were not. Today, we had the opportunity to observe Peter Pan and Aurora.

Magical Memories
After we finished meeting those characters, we took a detour to see Winnie the Pooh and Tigger, for my own personal benefit. When I was just over a year old, I went to Disney World for the first time. I had already developed an affinity for Tigger, so when I saw the long line in front of me, I just couldn’t handle it. I had to see Tigger IMMEDIATELY. I ran away from my parents, skipped all of the other people in line, and attached myself to Tigger’s leg. Since then, Tigger has remained one of my favorite characters, and I have gotten a picture with him every time. This time, I was able to tell Tigger the story of my toddler mischief, and he decided that it was his turn to attach himself to me and not let go! Mary Lib also recreated some childhood memories today. Not only did she ride Barnstormer again, but she also wore the same exact shirt that she wore while riding Barnstormer—twelve years later!


Fireworks Finale
By ten o’clock we were all finishing up with data collection and were able to catch Magic Kingdom’s end of the night fireworks show, “Wishes.” The fireworks at Disney are spectacular, probably some of the best in the world. Though we had all seen the fireworks show multiple times from the Big Thunder Mountain Railroad roller coaster, for many in the group (including the two of us) this was our first time watching the show from Main Street. The night ended with a special treat: a projection show on Cinderella’s Castle. Clips from Disney films, including classics like the Lion King and newer films like Frozen, were projected onto the castle, accompanied by music and fireworks. It was the perfect ending to another great day of math and magic.



Written by: Lindsay Eddy and McKenna Luzynski

Friday, May 20, 2016

Day 9: Thy Kingdom Come

Hey there readers, it's Molly and Lindsay walking you through Day 9 of Math and the Mouse. Today we presented our first project, had class, met with some members of Team Disney, and got to finish the day in Magic Kingdom!
Mickey calls this pose "the wizard"

Presentations and Class:
For the past week we have been working on a hypothetical workforce scheduling problem for Pecos Bill Cafe. As mentioned in earlier blog posts each group was given an objective that they had to minimize and a certain set of constraints. For example, my group (Molly, Caroline, Zach and Alex) had to minimize the number of shifts of different length while also meeting or exceeding the required workload for each fifteen minute time period. On the other hand my group (Lindsay, Mary Lib, Jamie and Alyssa) was similar to Molly's group but our objective was to minimize the number of over-scheduled shifts. Today we had to present our projects to the rest of the class. It was very interesting to see that while we had similar problems to solve, we each had our own way of modeling the problem. Dr. Bouzarth even mentioned that having different perspectives is useful while doing research because it allows for more creativity when trying to reach a solution and when each method returns a similar solution, there can be more confidence in the likelihood of a correct solution.

Group 1 (Maria, Johanna, McKenna, Courtney) presenting their project
Today Dr. Hutson taught us a new way to solve the Operations Research problems we have been working on this trip.  In these types of problems, we are trying to come up with the “optimal solution,” or best possible solution, to a problem.  One example is the Traveling Salesman Problem, where we picked an order to ride attractions in the Magic Kingdom so that we could ride all the rides as quickly as possible.  In this problem, the tour that got us through the rides in the shortest possible time is the optimal solution.  Unfortunately, in many problems, including the Traveling Salesman Problem, finding the optimal solution takes a really long time (months or years), even for a fast computer.  Since most people probably don’t want to wait for ten years before making plans for which Disney attractions they will be riding the next day, it is important to be able to generate solutions quickly.  One way to do this is to find a really good solution to a problem instead of finding the very best solution.  This might mean a tour through the Magic Kingdom that takes 10 minutes longer than the best possible tour.


One way to find a really good (but not optimal) solution to problems like the Traveling Salesman Problem is called the genetic algorithm, which Dr. Hutson taught us this morning. This approach tries to mimic biological reproduction that we see in nature.  The first step is to randomly generate lots of possible solutions (not necessarily good solutions) to the problem.  For example, we could generate lots of completely random paths through Magic Kingdom.  Then two of these solutions can be mixed together to make a “child” solution.  Good child solutions are kept so that they can be paired to make even more child solutions.  Eventually, a very good child solution will be produced.  After learning some theory, we got to play around with a program that a previous Math and the Mouse student wrote that uses a genetic algorithm to solve the Traveling Salesman Problem in Disney World.  It was pretty crazy to see a solution to a problem that we had worked on for hours generated in just a few seconds.

Team Disney: 
After our morning class, we had the unique opportunity to meet with some Disney professionals.  After getting cleaned up and dressing in something a bit nicer than workout shorts and t-shirts, we drove out to their Team Disney office building, where we were able to get a group picture with the Seven Dwarves.

Even the office building was up to the Disney standards we’ve come to expect. Though we weren’t allowed to take any pictures (sorry guys, Disney secrecy!), we can tell you that the whole building was decked out in Disney fashion, down to rugs with Mickey Mouse ear designs. We could tell that our hosts had been kind enough to make a special exception for us, because everyone was looking at this large group of college students as though we were talking teacups. Our afternoon was broken up into four different talks. One was about workforce management, which we are all pretty familiar with after our Pecos Bill scheduling project. Another session focused on using simulation to model theme park rides and attractions to work out the kinks before the rides are actually built. Our third talk was about how Disney creates memorable experiences for their guests. I, Lindsay, experienced this special Disney treatment at dinner, when I asked for a refill of my drink. Even though the restaurant doesn’t normally give refills, I was given a new drink with a Mickey straw, because I “didn’t know and walked all the way up there.” The last presentation was about machine learning – a bit of history, and then the different types of machine learning that can be done. After saying goodbye to our hosts, we hung out in the lobby for a while to avoid the rain, and then set off for Magic Kingdom.

Evening:
Jamie with Princess Belle
Dr. Harris ready to perform his role
Immediately following our meetings at Team Disney we made our way over to parks for an evening in the Magic Kingdom. When we arrived we were all a little hungry, so we decided what better way to celebrate our completion of our workforce scheduling project than a group dinner at Pecos Bill Cafe. Like their sign said the food really was the best grub in the west, at least in the western section of Magic Kingdom.

With our appetites satisfied we were ready to conquer our favorite rides. A visit to the Magic Kingdom is not complete without riding Space Mountain, Splash Mountain and Big Thunder Mountain Railroad and so we made sure to hit all of those at least once or even three times. After meeting Mickey in Town Square Theater, we all broke off to ride different rides. We still had fast passes for two rides but decided to ride them separately. Our first fast pass was for Enchanted Tales with Belle, reenactment of when Belle and the Beast first fell in love. Although the ride is meant for younger kids, it was still fun for us because both Dr. Harris and Jamie were chosen to play the guards.  It was hilarious watching them march around the room to the tune of "Be Our Guest". Our final Fast Pass was for Big Thunder Mountain Railroad and we were able to time it so that we got on the ride as soon as the fireworks show was starting and Thunder Mountain has one of the most amazing views of the castle from the ride. Since it is one of our favorite rides and even more fun to do in the dark, we took advantage of the 10 minute wait time and rode the ride two more times! By then it was getting late and so we headed back to the hotel for some rest before our 8am Keys to the Kingdom Tour the next morning!




Written By:

Molly
Lindsay

Saturday, May 14, 2016

Day 3: Lights, Camera, Math!

Hi everyone, it’s Alex and Lindsay here writing the blog post for today! Today we explored Hollywood Studios, so to start off this blog we have a picture of the whole group at the entrance to the park (if you haven’t noticed, group pictures at the entrance to the parks has been a bit of a theme here).
Our daily picture at the park

Knapsack Competition

In yesterday’s blog, Caroline and Jamie mentioned an assignment we were given involving the classic Knapsack Problem.  In this problem you have a set amount of space (think a set amount of space in your suitcase or knapsack) that you are trying to fit items in.  You value some items more than others (for example, you might rather pack your toothbrush than your antique teacup set for your trip to Disney).  The value placed on each item is called utility, which is what we are trying to maximize in the Knapsack Problem.

The assignment we received yesterday was a variation of the Knapsack Problem. Students were split into four groups of three (plus a group of the three professors) to engage in some friendly math-related competition. The goal of this assignment was to fit certain rides in Hollywood Studios into a fixed amount of time to get the most utility points. Each group had from 9 am, when Hollywood Studios opened its gates until 11:20, when we had lunch reservations. Each ride was assigned a certain utility value (meaning riding one ride could be more beneficial than riding another ride with a lower utility) so the goal was to get the highest total number of utility points by riding the most (and most valuable) rides. Yesterday we were all given data about the rides’ average wait times, lengths of the rides, and distances from the other rides so that groups could plan a schedule.

This morning we had the opportunity to actually test our plans.  All 15 of us arrived at Hollywood Studios half an hour before the park opened at 9 am. We got to see how Disney dealt with all of the people crowded by the entrance gates waiting for the park to open. Just before nine, they let everyone part of the way into the park.  It was really exciting being at the front of the crowd waiting to get on the first rides, and the competition with the other students (and professors!) made it even more exciting.

Some of the selfies we took in line to prove we rode the ride
Once the Disney cast members released the crowds into the park, our groups started to take different paths.  My group (Lindsay) went straight for the Rock n Roller Coaster, because the night before we had worked out that it had the highest utility compared to the time we would spend waiting in line and riding the ride.  We ended up riding the ride five times, and by the last time we had the ride pretty much memorized.  We squeezed in one last short ride at the end (Star Tours) before heading to lunch.

My group (Alex) worked out a strategy the night before where we made a schedule for the time period through a trial and error method, using different starting points and different pathways. In the end, we ended up hitting Tower of Terror twice, Rock 'n' Roller Coaster twice, and then other rides with lower utility. It's safe to say we really enjoyed doing this assignment!

Did I Hear a 3-Course Meal?


Group at Mama Melrose's
When 11:20am came and the project ended, we all met at Mama Melrose's Ristorante Italiano for an early lunch! We were able to choose 1 appetizer and 1 entree, with a dessert sampler at the end. Knowing it was a 3-course meal, we all paced ourselves throughout each course to make sure we had room for the next one. Let's just say we walked out of that meal full and satisfied! During lunch, the professors finally revealed who the winners of the morning competition were.

Drumroll… In third place we had a tie between three of the groups (both of us, Lindsay and Alex, were in this category…).  In second place were Zack, Courtney, Alyssa.  The winners of the competition were…. the professors!  We won’t deny that their Ph.D.’s in math might not have hurt their chances in the competition.




Time to Explore!

Before Toy Story Mania
After lunch, we got to explore Hollywood Studios a bit more leisurely. Our first stop was the Great Movie Ride where we explored some classic movies including the Wizard of Oz and Singing in the Rain.  Our second stop was Toy Story Mania, which was a new ride for a lot of us since its a fairly new attraction. Similar to Magic Kingdom's Buzz Lightyear ride, we competed against one another to see who could shoot for the highest points. We quickly learned that trying to outscore each other on Toy Story Mania would not be a competition just for today but would be ongoing for our entire trip.  We (Alex and Lindsay) started to get the impression that outscoring Dr. Hutson on Toy Story Mania might be even more of a challenge than the math projects we'll be working on. Next, we walked to use our FastPasses for Tower of Terror, a group favorite. After surviving Tower of Terror, we walked all the way to the other end of the park to see the Muppets Vision 3D, a little 3D show with all the classic Muppet characters and their classic humor. At this point, the group split up to do different attractions. While a majority of the group went to Star Wars Tours, a few of us girls, including the two of us, were able to see Beauty and the Beast Live. Disney never fails with putting on a show, especially
"a tale as old as time."

A "Fantasmic" Way to End the Day!

A group selfie at Fantasmic before the show started!
After spending about 9 hours in the park, the group came to the hotel for a quick break. This was a great chance to catch up on homework for tomorrow, eat dinner, or even catch some sleep. For me (Alex), it was also a great time to get a refreshing Slurpee with some friends. After reconvening with the group to discuss our first major project (which will be discussed in future blogs), we headed back to Hollywood Studios to see the Fantasmic show. While many were intrigued by the special effects used in the show, for most of us girls we loved seeing some of the Disney princesses and singing along with the classic Disney songs. The show ended just in time for us to catch the end-of-the-day fireworks which ended up being Star Wars themed - it was a pretty epic way to end the day! While today might have been Friday the 13th, we, Alex and Lindsay, can say that our group is lucky to have such a great experience here at Disney!

Star War's Theme Fireworks Show on Hollywood Blvd
Written by:

                                      
Alex                                      
Lindsay