Dr. Rader currently focuses his research in the areas of nonlinear 0-1 optimization, computational integer programming, and exam time timetabling.

Introduction to mathematical optimization and its applications, linear optimization models, Simplex Algorithm, sensitivity analysis, mixed-integer optimization models, branch-and-bound algorithm, ...

A timetabling problem is formulated as a large integer linear programming problem in 0-1 variables. A solution method based on Lagrangean relaxation coupled with subgradient optimization is presented.

Lihong Cheng, Lei Feng, Zhiwu Li, Model abstraction for discrete-event systems by binary linear programming with applications to manufacturing systems, Science Progress (1933-), Vol. 104, No. 3 (2021) ...

Formulate linear and integer programming problems for solving commonly encountered optimization problems. Understand how approximation algorithms compute solutions that are guaranteed to be within ...

Since then, the team developed and incorporated new, cutting-edge optimization modeling capabilities using linear and mixed integer linear optimization solvers, while using Gurobi as one of the ...

The mathematical optimization problem can be described as a nonlinear mixed-integer optimal control problem constrained by scalar hyperbolic conservation laws.