Document Type

Honors Thesis




David Hiebeler

Committee Members

Jane Wang, Aden Forrow

Graduation Year

May 2023

Publication Date

Spring 2023


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 activity on a given month and week day. Suggestions for improving the model’s authenticity are also provided.