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A Mathematical Programming Approach to a Deterministic Kanban System

Author

Listed:
  • Gabriel R. Bitran

    (Sloan School of Management, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139)

  • Li Chang

    (IBM Corporation, Poughkeepsie, New York 12602)

Abstract

In this paper we present a mathematical programming model for the Kanban system in a deterministic multi-stage capacitated assembly-tree-structure production setting. We discuss solution procedures to the problem and address three special cases of practical interest.

Suggested Citation

  • Gabriel R. Bitran & Li Chang, 1987. "A Mathematical Programming Approach to a Deterministic Kanban System," Management Science, INFORMS, vol. 33(4), pages 427-441, April.
  • Handle: RePEc:inm:ormnsc:v:33:y:1987:i:4:p:427-441
    DOI: 10.1287/mnsc.33.4.427
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    Citations

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    Cited by:

    1. Savsar, Mehmet & Al-Jawini, Abdullah, 1995. "Simulation analysis of just-in-time production systems," International Journal of Production Economics, Elsevier, vol. 42(1), pages 67-78, November.
    2. Venky Nagar & Madhav V. Rajan & Richard Saouma, 2009. "The Incentive Value of Inventory and Cross‐training in Modern Manufacturing," Journal of Accounting Research, Wiley Blackwell, vol. 47(4), pages 991-1025, September.
    3. de Souza, Mauricio C. & de Carvalho, Carlos R.V. & Brizon, Wellington B., 2008. "Packing items to feed assembly lines," European Journal of Operational Research, Elsevier, vol. 184(2), pages 480-489, January.
    4. Drexl, Andreas & Kimms, Alf, 1999. "Belastungsorientierte Just-in-Time Variantenfließfertigung," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 502, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    5. Kim, Ilhyung & Tang, Christopher S., 1997. "Lead time and response time in a pull production control system," European Journal of Operational Research, Elsevier, vol. 101(3), pages 474-485, September.
    6. Ou, Jihong & Jiang, Jiong, 1997. "Yield comparison of push and pull control methods on production systems with unreliable machines," International Journal of Production Economics, Elsevier, vol. 50(1), pages 1-12, May.
    7. Defersha, Fantahun M. & Chen, Mingyuan, 2008. "A linear programming embedded genetic algorithm for an integrated cell formation and lot sizing considering product quality," European Journal of Operational Research, Elsevier, vol. 187(1), pages 46-69, May.
    8. Moattar Husseini, S.M. & O'Brien, C. & Hosseini, S.T., 2006. "A method to enhance volume flexibility in JIT production control," International Journal of Production Economics, Elsevier, vol. 104(2), pages 653-665, December.
    9. Cao, Dong & Chen, Mingyuan, 2005. "A mixed integer programming model for a two line CONWIP-based production and assembly system," International Journal of Production Economics, Elsevier, vol. 95(3), pages 317-326, March.
    10. Herer, Yale T. & Shalom, Levi, 2000. "The Kanban assignment problem - A non-integral approach," European Journal of Operational Research, Elsevier, vol. 120(2), pages 260-276, January.
    11. Francesco Lolli & Rita Gamberini & Claudio Giberti & Bianca Rimini & Federica Bondi, 2016. "A simulative approach for evaluating alternative feeding scenarios in a kanban system," International Journal of Production Research, Taylor & Francis Journals, vol. 54(14), pages 4228-4239, July.
    12. Houmin Yan & Xun Yu Zhou & G. Yin, 1999. "Approximating an Optimal Production Policy in a Continuous Flow Line: Recurrence and Asymptotic Properties," Operations Research, INFORMS, vol. 47(4), pages 535-549, August.
    13. Drexl, Andreas & Kimms, Alf, 1997. "Sequencing JIT mixed-model assembly lines under station load- and part usage-constraints," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 460, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.

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