7. Initialization, auxiliary problem and artificial variables: phase 1

For a linear program in pure canonical form with constraints $A x \leq b$ , $x \geq 0$ , we can easily determine a feasible basic solution in the case $b \geq 0$ . Indeed, the constraints in pure canonical form can be rewritten in standard form as Ax + e = b, with

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Initialization, auxiliary problem and artificial variables: phase 1

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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. -...