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• W2003062172 abstract "In this paper, we study a multiechelon uncapacitated lot-sizing problem in series (m-ULS), where the output of the intermediate echelons has its own external demand and is also an input to the next echelon. We propose a polynomial-time dynamic programming algorithm, which gives a tight, compact extended formulation for the two-echelon case (2-ULS). Next, we present a family of valid inequalities for m-ULS, show its strength, and give a polynomial-time separation algorithm. We establish a hierarchy between the alternative formulations for 2-ULS. In particular, we show that our valid inequalities can be obtained from the projection of the multicommodity formulation. Our computational results show that this extended formulation is very effective in solving our uncapacitated multi-item two-echelon test problems. In addition, for capacitated multi-item, multiechelon problems, we demonstrate the effectiveness of a branch-and-cut algorithm using the proposed inequalities." @default.
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• W2003062172 date "2012-08-01" @default.
• W2003062172 modified "2023-10-14" @default.
• W2003062172 title "A Polyhedral Study of Multiechelon Lot Sizing with Intermediate Demands" @default.
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• W2003062172 doi "https://doi.org/10.1287/opre.1120.1058" @default.
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