A comprehensive review of transportation problems is provided in this paper, which clarifies the definition and mathematical model of transportation problems as a special class of linear programming ...

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 modified version of the well-known dual simplex method is used for solving fuzzy linear programming problems. The use of a ranking function together with the Gaussian elimination process helps in ...

Advancements in Linear Programming Linear programming, a method for optimizing a linear objective function subject to constraints, has seen significant advancements over the past century. From the ...

The goal is to give some theoretical explanation for the efficiency of the simplex method of George Dantzig. Fixing the number of constraints and using Dantzig's self-dual parametric algorithm, we ...

Simplex method The algorithm in question is the Simplex algorithm, devised by American George Dantzig (1914-2005), considered one of the founding fathers of linear programming.

A simple simplex solver written in Javascript. It can solve linear programs and mixed integer programs using the revised simplex method and branch and bound techniques.

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 ...