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Multi-level, single-machine lot sizing and scheduling: With initial inventory

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  • Kimms, Alf

Abstract

This paper presents a mixed-integer program for the dynamic lot sizing and scheduling problem in a multi-level, single-machine environment. It turns out that in contrast to single-level problems the integration of initial inventory is a crucial aspect if generality should not be lost. It is shown how problem instances can efficiently be solved to suboptimality by using a so-called randomized regret based heuristic.

Suggested Citation

  • Kimms, Alf, 1993. "Multi-level, single-machine lot sizing and scheduling: With initial inventory," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 329, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
  • Handle: RePEc:zbw:cauman:329
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    Citations

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    Cited by:

    1. Fandel, Gunter & Stammen-Hegene, Cathrin, 2006. "Simultaneous lot sizing and scheduling for multi-product multi-level production," International Journal of Production Economics, Elsevier, vol. 104(2), pages 308-316, December.
    2. Drexl, Andreas & Haase, Knut, 1995. "Proportional lotsizing and scheduling," International Journal of Production Economics, Elsevier, vol. 40(1), pages 73-87, June.
    3. Haase, Knut & Kimms, Alf, 1996. "Lot sizing and scheduling with sequence dependent setup costs and times and efficient rescheduling opportunities," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 393, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    4. Singh, Kumar Ashutosh & Mukherjee, Atreya & Tiwari, M. K., 2004. "Incorporating kin selection in simulated annealing algorithm and its performance evaluation," European Journal of Operational Research, Elsevier, vol. 158(1), pages 34-45, October.

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