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.

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

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 ...

Discover a novel approach, the primal-dual simplex algorithm, for solving fuzzy linear programming problems without converting them to crisp problems. Overcome limitations of existing methods.

Two existing methods for solving a class of fuzzy linear programming (FLP) problems involving symmetric trapezoidal fuzzy numbers without converting them to crisp linear programming problems are the ...

A global convergent algorithm is proposed to solve bilevel linear fractional-linear programming, which is a special class of bilevel programming. In our algorithm, replacing the lower level problem by ...

Linear programming is one of the most widely applied solutions to optimization problems. This paper presents a privacy-preserving solution to linear programming for two parties when the cost, or ...