Primal Dual Relationship in Linear Programming
The concept of Duality in Linear Programming problem states that there is another linear problem related to it and thus can be derived from it. The original linear programming problem is called “Primal”, and the derived linear problem is called “Dual”. Finding solutions to linear programming requires hard work and in-depth knowledge, which students lack as it’s there first time they are learning linear programs. The linear programming assignment help designed by the experts of BookMyEssay help students submit assignments on time and get good grades.
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Observations Made While Forming Dual Linear Programming Problem
Before, solving the linear problem for duality, the original problem has to be formulated in its standard form. The meaning of standard form is that all the variables in the problem should be non-negative. Sign “>=” for the minimization case and “<=” for the maximization case be used. The observations obtained after solving linear programming problem for duality are:
- The original or the primal problem is of maximization type while the dual linear problem is of minimization type.
- The constraint values of the primal problem become the coefficients of dual variables in objective function of the dual problem. The coefficient of the variables in the objective function of the primal problem become the constraint value in the dual problem.
- The direction of inequalities change i.e. in the dual problem; the sign is the reverse of primal problem.
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