Term of Award

Summer 2018

Degree Name

Master of Science in Mathematics (M.S.)

Document Type and Release Option

Thesis (open access)

Copyright Statement / License for Reuse

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.


Department of Mathematical Sciences

Committee Chair

Stephen Carden

Committee Member 1

Ionut Iacob

Committee Member 2

Divine Wanduku


Predicting how bridges will deteriorate is the key to budgeting financial and personnel resources. Deterioration models exist for specific components of a bridge, but no models exist for the sufficiency rating which is an overall measure of the condition and relevance of a bridge used for determining eligibility for federal funds.

We have 25 years worth of data collected by the Georgia Department of Transportation from 1992 to 2016 about all bridges in the State of Georgia. More precisely, each row in this data set includes the characteristics of each bridge along with the sufficiency rating of that bridge in a specific year which was inspected by engineers.

In this thesis we introduce two models (Mixed Logistics-Gamma model and Poisson model) that predict the change of sufficiency rating of each bridge and tell us how much a specific bridge deteriorates in a specific period of time. We then compare these two models.

Research Data and Supplementary Material