6. Simplex convergence

At each stage of the simplex algorithm (in phase 2), we can distinguish remarkable cases, all of which lead to the algorithm being stopped:

1. If the reduced costs are all strictly negative, i.e. $L_{H}^{T} < 0$ , then the current feasible basic solution is the unique optimum (see figure 3 );

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Simplex convergence

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Bibliography

(1) - BILLIONNET (A.) - Optimisation discrète – De la modélisation à la résolution par des logiciels de programmation mathématique. - Dunod (2007).
(2) - BREZINSKI (C.) - Initiation à la programmation linéaire et à l'algorithme du simplexe. -...