Strong LP Formulations and Primal-Dual Approximation Algorithms
1:06:31
Strong LP Formulations and Primal-Dual Approximation Algorithms
Jun 2, 2011
Microsoft
SOLVED: Consider the primal linear program (LP) and its dual problem (LD):min (LP) s.t.c^T xmax (LD) s.t.6^T y A^T y < cAssume that the feasible regions of (LP) and (LD) are nonempty. Let y" be an optimal solution of (LD) and answer the following questions:(1) Multiplying the kth (1 < k < m) equation of A^T x = b by a real number / ≠ 0 to obtain a new primal problem, find an optimal solution for its dual problem.(2) Multiplying the kth (1 < k < m) equation of A x ≤ b by a real number / = 0
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