Degree Name

MS (Master of Science)

Program

Mathematical Sciences

Date of Award

12-2025

Committee Chair or Co-Chairs

Jeff Knisley

Committee Members

Rodney Keaton, Robert Price

Abstract

The Newsvendor Problem is a fundamental model in Operation Research and Supply Chain Management used to determine the optimal order quantity under uncertain demand to minimize expected costs.
This research extends the classical Newsvendor problem to a multi--product setting, addressing the risk of asymmetric cost structures faced by a food truck. This thesis introduces expectile risk measures to quantify and manage uncertainty in demand, moving beyond traditional risk metrics. To evaluate the impact of expectile-based decision-making, we analyze three types of demand distributions--simple, symmetric, and skewed. For skewed distributions, we apply linear spline inverse interpolation to derive expectile values from given risk levels and vice versa.
By formulating and solving the Food Truck Problem, this research contributes to the advancement of supply chain optimization and offers practical insights for managing inventory in mobile and decentralized systems

Document Type

Thesis - unrestricted

Copyright

Copyright by the authors.

Share

COinS