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Online Optimization with Discrete Lotsizing Production and Rolling Horizons

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Dynamics in Logistics

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Notes

  1. 1.

    Alternatively, one can construct an inventory at the end of the horizon that allows to carry forward the horizon without conflicts, if this is feasible in the given setting.

  2. 2.

    Note that in the example, the profit for the first week of the complete DLSP is negative. Since there is rescheduling at the beginning of each week, it is possible that this value never changes to a positive value, although an off-line algorithm could make a profit over the entire period. A naive approach would therefore fail. We introduce a first possible solution.

  3. 3.

    We assume that an optimum plan is always connected with a profit.

References

  • Dangelmaier, W.: Online-Optimierungsansätze zur Steuerung der Produktion in der Serienfertigung. In: Schenk, M. (Hrsg.): Logistik—Effiziente und sichere Warenketten in Industrie und Handel. 11. IFF-Wissenschaftstage 25./26. Juni 2008. Tagungsband S. 145–154. Magdeburg: Fraunhofer-Institut für Fabrikbetrieb und -automatisierung 2008a.

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  • Dangelmaier, W.: PPS-Strategien und Online-Optimierung in der Serienfertigung bei kurzfristigem Horizont. In: Müller, W.; Spanner-Ulmer, B. (Hrsg.): Wandlungsfähige Produktionssysteme. S. 15–24. TBI’08. 13. Tage des Betriebs- und Systemingenieurs. II. Symposium Wissenschaft und Praxis. Wissenschaftliche Schriftenreihe des Instituts für Betriebswissenschaften und Fabriksysteme. Chemnitz, 13. November 2008b.

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  • Danne, Ch.; Blecken, A.; Dangelmaier, W.: Complexity-Induced uncertainty in Supply chains—A Framework and Case Studies. In: Pfohl, H.-Ch.; Wimmer, Th. (Hrsg.): Wissenschaft und Praxis im Dialog. Robuste und sichere Logistiksysteme. S. 71–88. 4. Wissenschaftssymposium Logistik. Hamburg: Deutscher Verkehrsverlag 2008.

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  • Krumke, S. O.; Rambau, J.: Online Optimierung. Vorlesungsskript. Berlin: Technische Universität 2005.

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Author information

Authors and Affiliations

  1. Heinz Nixdorf Institut, Fürstenallee 11, 33102, Paderborn, Germany

    Wilhelm Dangelmaier & Bastian Degener

Authors
  1. Wilhelm Dangelmaier
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  2. Bastian Degener
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Corresponding author

Correspondence to Wilhelm Dangelmaier .

Editor information

Editors and Affiliations

  1. FB Mathematik und Informatik, AG Theoretische Informatik, Universität Bremen, Linzer Str. 9a, Bremen, 28359, Germany

    Hans-Jörg Kreowski

  2. BIBA GmbH, Bremer Institut für Messtechnik, Universität Bremen, Hochschulring 20, Bremen, 28359, Germany

    Bernd Scholz-Reiter

  3. BIBA GmbH, Bremer Institut für Messtechnik, Universität Bremen, Hochschulring 20, Bremen, 28359, Germany

    Klaus-Dieter Thoben

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Dangelmaier, W., Degener, B. (2011). Online Optimization with Discrete Lotsizing Production and Rolling Horizons. In: Kreowski, HJ., Scholz-Reiter, B., Thoben, KD. (eds) Dynamics in Logistics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11996-5_4

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  • DOI: https://doi.org/10.1007/978-3-642-11996-5_4

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-11995-8

  • Online ISBN: 978-3-642-11996-5

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