In this paper, we propose two new perturbation simplex variants. Solving linear programming problems without introducing artificial variables, each of the two uses the dual pivot rule to achieve ...

In this paper, a modification of the bisection simplex method is made for more general purpose use. Organized in an alternative simpler form, the modified version exploits information of the optimal ...

Formulate linear and integer programming problems for solving commonly encountered optimization problems. Understand how approximation algorithms compute solutions that are guaranteed to be within ...

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 ...