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Multi-Level Lot-Sizing Models with Flexible Bills-of-Materials

In: Production and Inventory Management with Substitutions

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  • J. Christian Lang

    (Technische Universität Darmstadt)

Abstract

In this chapter, we develop two lot-sizing models for multi-level production with flexible BOMs: The Multi-Level Capacitated Lot-Sizing Problem with Substitution (MLCLSP-S), which is an extension of the MLCLSP (see Sect. 2.1.6) and uses hypergraphs to model substitution General Lot-sizing and Scheduling Problem for Multiple production Stages with Flexible Production Sequences (GLSPMS-FPS), which is an extension of the GLSPMS (see Sect. 2.1.7) that uses STN (see Sect. 3.2.4) to model flexible production sequences and flexible BOMs The purpose of the former model, the MLCLSP-S, is to show how flexible BOMs modeled by hypergraphs can be integrated in multi-level lot-sizing models. The MLCLSP-S would be suitable for applications with discrete products and assembly structures, but is less appropriate for flexible production structures as they can be found in the process industries. The model cannot map flexible production sequences.

Suggested Citation

  • J. Christian Lang, 2010. "Multi-Level Lot-Sizing Models with Flexible Bills-of-Materials," Lecture Notes in Economics and Mathematical Systems, in: Production and Inventory Management with Substitutions, chapter 0, pages 185-204, Springer.
    • Handle: RePEc:spr:lnechp:978-3-642-04247-8_7
    DOI: 10.1007/978-3-642-04247-8_7
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