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Capacitated lot‐sizing and scheduling with parallel machines, back‐orders, and setup carry‐over

Daniel Quadt and Heinrich Kuhn

Naval Research Logistics (NRL), 2009, vol. 56, issue 4, 366-384

Abstract: We address the capacitated lot‐sizing and scheduling problem with setup times, setup carry‐over, back‐orders, and parallel machines as it appears in a semiconductor assembly facility. The problem can be formulated as an extension of the capacitated lot‐sizing problem with linked lot‐sizes (CLSPL). We present a mixed integer (MIP) formulation of the problem and a new solution procedure. The solution procedure is based on a novel “aggregate model,” which uses integer instead of binary variables. The model is embedded in a period‐by‐period heuristic and is solved to optimality or near‐optimality in each iteration using standard procedures (CPLEX). A subsequent scheduling routine loads and sequences the products on the parallel machines. Six variants of the heuristic are presented and tested in an extensive computational study. © 2009 Wiley Periodicals, Inc. Naval Research Logistics 2009

Date: 2009
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Citations: View citations in EconPapers (2)

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https://doi.org/10.1002/nav.20345

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