Date of Award

2019

Degree Name

Mathematics

College

College of Science

Type of Degree

M.A.

Document Type

Thesis

First Advisor

Dr. Michael Schroeder, Committee Chairperson

Second Advisor

Dr. Raid Al-Aqtash

Third Advisor

Dr. Scott Sarra

Abstract

Strategic placement of ambulances is important to the efficient functioning of emergency services. As part of an ongoing collaboration with Wayne County 911, we developed a strategy to optimize the placement of ambulances throughout Wayne County based on de-identified call and response data from 2016 and 2017. The primary goals of the optimization were minimizing annual operating cost and mean response time, as well as providing a constructive solution that could naturally evolve from the existing plan. This thesis details the derivation and implementation of one of the optimization strategies used in this project. It is based on parametric statistical inference and the “Branch and Bound” pattern that is often used in non-linear global optimization.

Subject(s)

Ambulance service -- West Virginia -- Wayne County.

Extreme value theory -- Mathematical models.

Nonlinear theories -- Mathematical models.

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