Crowd Control: Mathematically Modeling Human Crowds for Emergency Behavior

Location

Namyong Lee

Start Date

9-4-2012 10:00 AM

End Date

9-4-2012 11:00 AM

Student's Major

Mathematics and Statistics

Student's College

Science, Engineering and Technology

Mentor's Name

Namyong Lee

Mentor's Department

Mathematics and Statistics

Mentor's College

Science, Engineering and Technology

Description

Crowds are an inevitable part of today’s society. Whether it is a popular new book that has come out, or a new movie has been released in theaters, humans create crowds. This is often due to small distributions of a certain specific product. What happens when a third party factor is introduced into these crowds? For instance, what happens if a crowd of people are in a movie theater when a fire starts? The goal of this research was to understand this crowd dynamics through mathematically modeling and simulation. The total effect was examined using a modified S-I-R model, with a specific concentration on how the idea is spread. To model this, both rumor based protocols and stochastic models were used. The purpose for this research was to gain a better understanding of how human crowds move, and think in specific emergency situations using mathematical models. With this information, inferences can be made to the purpose/reason that crowds behave the way that they do.

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Apr 9th, 10:00 AM Apr 9th, 11:00 AM

Crowd Control: Mathematically Modeling Human Crowds for Emergency Behavior

Namyong Lee

Crowds are an inevitable part of today’s society. Whether it is a popular new book that has come out, or a new movie has been released in theaters, humans create crowds. This is often due to small distributions of a certain specific product. What happens when a third party factor is introduced into these crowds? For instance, what happens if a crowd of people are in a movie theater when a fire starts? The goal of this research was to understand this crowd dynamics through mathematically modeling and simulation. The total effect was examined using a modified S-I-R model, with a specific concentration on how the idea is spread. To model this, both rumor based protocols and stochastic models were used. The purpose for this research was to gain a better understanding of how human crowds move, and think in specific emergency situations using mathematical models. With this information, inferences can be made to the purpose/reason that crowds behave the way that they do.

Recommended Citation

Grooms, John. "Crowd Control: Mathematically Modeling Human Crowds for Emergency Behavior." Undergraduate Research Symposium, Mankato, MN, April 9, 2012.
https://cornerstone.lib.mnsu.edu/urs/2012/oral-session-04/3