This paper presents the basic concepts of linear programming, which consists in minimizing or maximizing a linear objective function with linear inequality or equality constraints on the variables of ...

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 ...

Abstract: We apply a distributed, message-passing scheme for sparsely-coupled linear programming problems to the stabilization of positive switched linear systems. We first develop exact conditions ...

Examining real-world challenges reveals that there are numerous approaches to guiding a problem toward a solution. Some methods may be intricate, while others could be straightforward. The ...

Linear semi-infinite programming (LSIP) is a branch of optimisation that focuses on problems where a finite number of decision variables is subject to infinitely many linear constraints. This ...

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 ...

George B. Dantzig, the mathematician who invented the field of linear programming, which revolutionized the way government and private enterprise planned, scheduled and generally conducted their ...