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A Note on “An Efficient Zero-One Formulation of the Multilevel Lot-Sizing Problem”
Authors:S. Rajagopalan
Abstract:In a recent paper, McKnew, Saydam, and Coleman [3] presented a novel zero-one integer programming formulation of the multilevel dynamic, deterministic lot-sizing problem in assembly systems. They stated that “the relaxed linear programming solution to this formulation will always be integer’ [3, p. 280] since the constraint matrix is totally unimodular. In this note, we point out that the constraint matrix is not totally unimodular and therefore the authors’claim that a linear relaxation of the zero-one integer formulation always yields an integer solution is not true.
Keywords:Linear Programming  Material Requirements Planning  Production/Operations Management
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