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OTHER LINEAR PROGRAMMING IMPLEMENTATIONS 35
LINEAR PROGRAMMING EXTENSION AREAS 38
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activity vector Applications arc i,j assignment barrels basic feasible solution basic solution basic variables basis cell coefficients column vectors commodity complementarity problem complementary basic feasible complementary feasible Complementary Slackness components constraints convex function convex set corresponding Dantzig defined degrees of difficulty denote duality equations equivalent extreme point finite number geometric programming given Hence inequality infeasible initial integer program inventory iteration label Linear Algebra linear programming problem lower bound manufacturer master program Math mathematical programming matrix minimal minimum cost Murty negative node Nonlinear Programming nonnegative objective function obtained optimal solution optimum P-matrix pair partition positive posynomial Prim's Algorithm primitive subset production Proof quadratic programming represents satisfy schema sequence set covering problem shortest chain simplex algorithm simplex method solving stage Step Suppose tableau terminate Theorem theory Traveling Salesman Problem zero