Duality in Linear Programming 4
Duality in Linear Programming 4 In the preceding chapter on sensitivity analysis, we saw that the shadow-price interpretation of the optimal simplex multipliers is a very useful concept. First, these shadow prices give us directly the marginal worth of an additional unit of any of the resources. Second, when an activity is ‘‘priced out ...
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www.princeton.eduTheorem 4 (Strong Duality). Consider a primal-dual LP pair: (P) 2 6 4 min cTx Ax= b x 0 3 7 5 and (D) " max bTy ATy c # If (P) has a nite optimal value, then so does (D) and the two values match. Remark: If you don’t recall how to write down the dual of an LP, look up the rst few pages