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Applied Mathematics

Honors College

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2023

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Everyone's A Waiter: A Data-Driven Queuing Simulation Model Of Mike's Clam Shack, Natalie Robinson Apr 2023

Everyone's A Waiter: A Data-Driven Queuing Simulation Model Of Mike's Clam Shack, Natalie Robinson

Honors College

This thesis seeks to understand the mathematical foundation of several prominent concepts in queuing theory and apply them to gain a better understanding of nightly business levels and dining room queue behavior during the summer tourist season at Mike’s Clam Shack, which is a restaurant located in Wells, Maine. To do so, a variety of queue and server section data has been collected from Mike’s and analyzed to determine probability distributions for interarrival and service times. In addition, a queuing simulation model has been constructed in the R Programming Language, which uses this data to generate dining room and queue …