Solving linear programming problems using the simplex method
- Author Ilea Mihail-Ovidiu
- Co-Author Arotaritei Dragos
- DOI https://ww
- Country : Romania
- Subject : Medical Biosciences
Keywords : Simplex Method, Linear Programming, Optimal Solution.
Abstract
A linear programming problem is said to be in standard form when all constraints become equations and all variables are nonnegative. An inequality becomes an equality by introducing a new variable, called a compensation variable. A linear programming problem is in tabular form when all constraints are equations.
The simplex method is an iterative procedure for solving linear programming problems in tabular form. The simplex method generates new basic feasible solutions that increase the value of the objective function (or at least leave it unchanged) by generating new tabular forms for the system of equations. When no further improvement can be made, the optimal solution has been reached.
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