If you have ever solved a linear programming problem, you may have encountered the concept of dual variables. These are values that are associated with the constraints of the problem, and they ...

Linear programming is a technique for finding the optimal value of an objective function subject to a set of constraints. The dual simplex method is a variation of the simplex method that can be ...

We present two first-order primal-dual algorithms for solving saddle point formulations of linear programs, namely FWLP (Frank-Wolfe Linear Programming) and FWLP-P. The former iteratively applies the ...

Most of the current methods for solving linear fractional programming (LFP) problems depend on the simplex type method. In this paper, we present a new approach for solving linear fractional ...

Abstract: A dual for linear programming problems of a two person zero sum constrained matrix game with fuzzy payoffs is introduced and it is proved that such a game is equivalent to a primal-dual pair ...

Dual formulations for optimization problems provide a new way to view the same problem, revealing its structure and bounding optimal solutions. A strong dual formulation constructs a problem that can ...

Google researchers introduce PDLP (Primal-Dual Hybrid Gradient enhanced for Linear Programming), a new solver built on the restarted PDHG algorithm. PDLP uses matrix-vector multiplication instead of ...

Calculus I,II + Algorithms + Linear Algebra. Topics Covered. Roughly, we will cover the following topics (some of them may be skipped depending on the time available). Linear Programming: Basics, ...

with, the linear programming (8) has the dual programming problem in just one unknown Z in the form. Maximize . Subject to, (9) Note: The set of constraints of the above linear programming problem ...