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IE 400: Principles of Engineering Management Simplex Method

- In Simplex algorithm alternative solutions are detected when there are 0 valued coefficients for nonbasic variables in row-0 of the optimal tableau. - If 



Solving Linear Programs

Second the simplex method provides much more than just optimal solutions. we obtain an alternative optimal solution whenever we can increase the ...



Solving Linear Programs

Second the simplex method provides much more than just optimal solutions. we obtain an alternative optimal solution whenever we can increase the ...



Sensitivity Analysis

The optimality conditions of the simplex method imply that the optimal solution then there is no alternative optimal solution because introducing any ...



7 NON-SIMPLEX BASED SOLUTION METHODS

Since the new point must be feasible we require that. Page 3. 7.1 Alternatives to the Simplex Method. 263. 2(?+3s) + (2 + s) ? 5 or s ? 5/21. (via 



Graphical Solution of 2-variable LP Problems

- In Simplex algorithm alternative solutions are detected when there are 0 valued coefficients for nonbasic variables in row-0 of the optimal tableau. - If 



ALTERNATIVE OPTIMAL SOLUTIONS TO LINEAR PROGRAMMING

In the presence of degeneracy the meaning of alternative optimal solutions may not necessarily imply the existence of alternative solution points.



Duality in Linear Programming

By applying the simplex method the optimal solution to both primal and dual problems can be found to be:?. Primal: xA = 3.36



Special Situations in the Simplex Algorithm - Degeneracy

The algorithm will take us to a tableau that indicates that alternative optimal solutions exist. We will then examine the geometrical origin behind the 



The Graphical Simplex Method: An Example

Solve these equations to obtain the coordinates of their intersection. 2. If the solution is feasible then it is a corner-point solution. Otherwise