Abstract

In this chapter we shall first consider two important computational variants of the standard simplex method, namely the dual simplex and primal-dual routines. These techniques are essentially modifications of the simplex method because their implementation involves a sequence of pivot operations applied to the primal problem, but based upon alternative pivot selection or entry and exit criteria. These methods were developed to: (1) reduce the number of iterations needed to achieve optimality when the number of variables (n) is large; and (2) exploit situations involving the availability of an initial basic feasible solution to the dual problem.

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