The death of mathematician George Dantzig is a scientific watershed. Dantzig developed "linear programming" and the simplex method, used to solve complex efficiency problems for large organizations.

This is a preview. Log in through your library . Abstract In this paper, a modification of the bisection simplex method is made for more general purpose use. Organized in an alternative simpler form, ...

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 project aims at popularizing the usage of numerical methods, and in particular, linear programming techniques, for solving various types of information- and incentive-constrained problems in ...

In linear programming problems, as in most economic problems, the input data are often uncertain. So we haven't finished when we've obtained the optimal solution; we still need to ask, how would this ...

In this paper, the authors are aimed at applying duality theory to multi-objective linear programming problems. Three methods of solutions were discussed and applied in this paper with the sole aim of ...

This article is concerned with the computational aspect of l₁ regularization problems with a certain class of piecewise linear loss functions. The problem of computing the l₁ regularization path for a ...