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Perturbation Analysis for the Design of Flexible Manufacturing System Flow Controllers

Author

Listed:
  • Michael Caramanis

    (Boston University, Boston, Massachusetts)

  • George Liberopoulos

    (Boston University, Boston, Massachusetts)

Abstract

Dynamic allocation of stochastic capacity among competing activities in a just in time manufacturing environment is addressed by optimal flow control. Optimal policies are characterized by generally intractable Bellman equations. A near-optimal controller design technique is proposed. It provides an approximate numerical solution to the Bellman equation, a tight lower bound for the optimality gap of tractable, near-optimal controller designs, and a building block for improved, near-optimal controller designs that rely on the decomposition of a multiple part-type problem to smaller (two or three part-type) problems. Computational experience is reported for two and three part-type problems.

Suggested Citation

  • Michael Caramanis & George Liberopoulos, 1992. "Perturbation Analysis for the Design of Flexible Manufacturing System Flow Controllers," Operations Research, INFORMS, vol. 40(6), pages 1107-1125, December.
    • Handle: RePEc:inm:oropre:v:40:y:1992:i:6:p:1107-1125
    DOI: 10.1287/opre.40.6.1107
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    Citations

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    Cited by:

    1. Nasuh Buyukkaramikli & J. Bertrand & Henny Ooijen, 2013. "Flexible hiring in a make to order system with parallel processing units," Annals of Operations Research, Springer, vol. 209(1), pages 159-178, October.
    2. Mourani, Iyad & Hennequin, Sophie & Xie, Xiaolan, 2008. "Simulation-based optimization of a single-stage failure-prone manufacturing system with transportation delay," International Journal of Production Economics, Elsevier, vol. 112(1), pages 26-36, March.
    3. Cao, Xi-Ren, 1996. "Perturbation analysis of discrete event systems: Concepts, algorithms, and applications," European Journal of Operational Research, Elsevier, vol. 91(1), pages 1-13, May.
    4. S. P. Sethi & H. Yan & H. Zhang & Q. Zhang, 2002. "Optimal and Hierarchical Controls in Dynamic Stochastic Manufacturing Systems: A Survey," Manufacturing & Service Operations Management, INFORMS, vol. 4(2), pages 133-170.
    5. Sridhar Tayur, 2000. "Improving Operations and Quoting Accurate Lead Times in a Laminate Plant," Interfaces, INFORMS, vol. 30(5), pages 1-15, October.
    6. 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.

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