Use of linear programming models has grown so extensively in recent years that the whole concept for organizing a computer code has undergone a radical change. It no longer is adequate merely to ...

Standard computer implementations of Dantzig's simplex method for linear programming are based upon forming the inverse of the basic matrix and updating the inverse after every step of the method.

A special kind of LP models known as Fuzzy Linear Programming (FLP) models include fuzzy constraints. Roughly speaking, fuzzy constrained problems deal with non-probabilistic uncertainty, which is a ...

This article gives a reformulation of the simplex method for quadratic programming having the advantage of generating tableaux with certain symmetry properties. It is proved that this method gives the ...

Basic graduate course in linear programming,Formulation and model building,Geometry of linear programming,The simplex method and its variants,Duality theory and Sensitivity analysis,Decomposition ...

The Simplex method (Simplex Algorithm) is an approach to solving linear programming models by hand using slack variables, tableaus, and pivot variables as a means of finding the optimal solution of an ...

It is known that the simplex method requires an exponential number of iterations for some special linear programming instances. Hence the method is neither polynomial nor a strongly-polynomial ...

With this large number of applications the quadratic programming model certainly requires an efficient solution method. We present an approach for and minimizing the complementary pivots in a simplex ...