Chapter 68

Linear Programming

Leonid N. Vaserstein

Pennsylvania State University

We freely use the textbook [Vas03]. Additional references, including references to Web sites with software, can be found in [Vas03], [Ros00, Sect. 15.1], and INFORMS Resources http://www.informs.org/Resources/.

68.1 What Is Linear Programming?

Definitions:

Optimization is maximization or minimization of a real-valued function, called the objective function, on a set, called the feasible region or the set of feasible solutions.

The values of function on the set are called feasible values.

An optimal solution (optimizer) is a feasible solution where the objective function reaches an optimal value (optimum), i.e., maximal or minimal value, respectively.

An optimization ...

Get Handbook of Linear Algebra, 2nd Edition now with the O’Reilly learning platform.

O’Reilly members experience books, live events, courses curated by job role, and more from O’Reilly and nearly 200 top publishers.