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 ...

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 ...

Linear programming is an optimization technique used to find the optimal solution of a system of linear equations. It is widely agreed that the development of linear programming has been ranked among ...

Restaurants use linear programming for menu planning. It uses basic algebra to optimize meal production and thereby increase restaurant profits. Linear algebra reflects a direct relationship between ...

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 ...

In this paper we consider a class of parallel machine scheduling problems and their associated set-partitioning formulations. We show that the tightness of the linear programming relaxation of these ...

Constrained minimization problems are formulated from a quasilinear parabolic boundary value problem (possibly with nonlinear boundary conditions), making use of the ...