Date of Award

August 2020

Document Type

Thesis

Degree Name

Master of Science (MS)

Department

School of Mathematical and Statistical Sciences

Committee Member

Margaret Wiecek

Committee Member

Matthew Saltzman

Committee Member

Yuyuan Ouyang

Abstract

In robust multiobjective optimization, a new robustness gap is defined in [4]. This gap measures the minimal distance between the robust Pareto set and the Pareto sets of all scenarios. Upper and lower bounds of this gap are derived for the convex case. In this thesis, a deeper examination into the definition and application of this gap for uncertain multiobjective linear programs is presented. Numerical examples are developed and results are reported for the first time.

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