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 ...

This book presents the state-of-the-art methods in Linear Integer Programming, including some new algorithms and heuristic methods developed by the authors in recent years. Topics as Characteristic ...

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 ...

Abstract: This chapter presents development of the random search method in context of the linear integer programming model, mixed-integer programming model and the extreme point mathematical ...

Results of this study raise serious questions concerning the reliability of a widely used commercial linear programming package. Three versions of IBM linear programming software were considered in ...