Improved capabilities and sophistication of mathematical programming systems (model builders, report generators, and mixed integer codes) have considerably expanded the size and scope of real life ...
Roughly, we will cover the following topics (some of them may be skipped depending on the time available). Linear Programming: Basics, Simplex Algorithm, and Duality. Applications of Linear ...
This paper gives an algorithm for L-shaped linear programs which arise naturally in optimal control problems with state constraints and stochastic linear programs (which can be represented in this ...
Abstract: Integer Linear Programming (ILP) is an important mathematical approach for solving time-sensitive real-life optimization problems, including network routing, map routing, traffic scheduling, ...
Abstract: The shift towards high-bandwidth networks driven by AI workloads in data centers and HPC clusters has unintentionally aggravated network latency, adversely affecting the performance of ...
Linear transformations. Linear operators, change of basis, inner product and the diagonalization problem. Quadratic forms. Convex sets and geometric programming, input/output models for an economy, ...