Date of Award

3-2-2021

Publication Type

Master Thesis

Degree Name

M.Sc.

Department

Mathematics and Statistics

First Advisor

Myron M. Hlynka

Second Advisor

Percy P.H. Brill

Rights

info:eu-repo/semantics/openAccess

Abstract

In this thesis, we consider the scheduling of patients in a single server medical clinic. We present the probability distribution for the number of patients in the system under certain settings using four different methods. The four methods used are theoretical calculations using convolution, simulation, probability generating functions, and Markov chains. Further, the best scheduling strategy is obtained on the basis of a minimum objective function in the case of fixed interval lengths (for service and interarrival times). Modified simulation annealing is used to aid in finding the best appointment strategy in the case of variable interval lengths.

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