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A genetic algorithm for multi-level, multi-machine lot sizing and scheduling

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  • Kimms, Alf

Abstract

This contribution introduces a mixed-integer programming formulation for the multi-level, multi-machine proportional lot sizing and scheduling problem. It also presents a genetic algorithm to solve that problem. The efficiency of that algorithm is due to an encoding of solutions which uses a two-dimensional matrix representation with non-binary entries rather than a simple bitstring. A computational study reveals that the proposed procedura works amazingly fast and competes with a tabu search approach that has recently been published.

Suggested Citation

  • Kimms, Alf, 1996. "A genetic algorithm for multi-level, multi-machine lot sizing and scheduling," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 415, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    • Handle: RePEc:zbw:cauman:415
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    References listed on IDEAS

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    1. Drexl, Andreas & Haase, Knut, 1995. "Proportional lotsizing and scheduling," International Journal of Production Economics, Elsevier, vol. 40(1), pages 73-87, June.
    2. Kirca, Omer & Kokten, Melih, 1994. "A new heuristic approach for the multi-item dynamic lot sizing problem," European Journal of Operational Research, Elsevier, vol. 75(2), pages 332-341, June.
    3. Kimms, Alf, 1994. "Optimal multi-level lot sizing and scheduling with dedicated machines," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 351, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    4. 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.
    5. Lotfi, Vahid & Chen, Wun-Hwa, 1991. "An optimal algorithm for the multi-item capacitated production planning problem," European Journal of Operational Research, Elsevier, vol. 52(2), pages 179-193, May.
    6. Tempelmeier, Horst & Helber, Stefan, 1994. "A heuristic for dynamic multi-item multi-level capacitated lotsizing for general product structures," European Journal of Operational Research, Elsevier, vol. 75(2), pages 296-311, June.
    7. Kimms, A., 1996. "Multi-level, single-machine lot sizing and scheduling (with initial inventory)," European Journal of Operational Research, Elsevier, vol. 89(1), pages 86-99, February.
    8. Moustapha Diaby & Harish C. Bahl & Mark H. Karwan & Stanley Zionts, 1992. "A Lagrangean Relaxation Approach for Very-Large-Scale Capacitated Lot-Sizing," Management Science, INFORMS, vol. 38(9), pages 1329-1340, September.
    9. van Hoesel, Stan & Kolen, Antoon, 1994. "A linear description of the discrete lot-sizing and scheduling problem," European Journal of Operational Research, Elsevier, vol. 75(2), pages 342-353, June.
    10. Fleischmann, Bernhard, 1990. "The discrete lot-sizing and scheduling problem," European Journal of Operational Research, Elsevier, vol. 44(3), pages 337-348, February.
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    1. Drexl, A. & Kimms, A., 1997. "Lot sizing and scheduling -- Survey and extensions," European Journal of Operational Research, Elsevier, vol. 99(2), pages 221-235, June.
    2. Kimms, Alf, 1996. "Modelle der Losgrößenplanung und eine kritische Würdigung des MRP II Konzepts," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 419, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.

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