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Characterizing the Output Process of a CONWIP Line with Deterministic Processing and Random Outages

Author

Listed:
  • Izak Duenyas

    (Department of Industrial and Operations Engineering, The University of Michigan, Ann Arbor, Michigan 48109)

  • Wallace J. Hopp

    (Department of Industrial Engineering and Management Sciences, Northwestern University, Evanston, Illinois 60208)

  • Mark L. Spearman

    (Department of Industrial Engineering and Management Sciences, Northwestern University, Evanston, Illinois 60208)

Abstract

We model a CONWIP (CONstant Work-in-Process) production line with deterministic processing times and exponential failure and repair times as a closed queueing network. We derive an approximation for the mean and variance of the output during a specified interval and give computable conditions under which this approximation performs well. We show through empirical tests that the approximation is robust and illustrate its usefulness as the basis for a procedure for selecting an economic production quota and a card count for a CONWIP line.

Suggested Citation

  • Izak Duenyas & Wallace J. Hopp & Mark L. Spearman, 1993. "Characterizing the Output Process of a CONWIP Line with Deterministic Processing and Random Outages," Management Science, INFORMS, vol. 39(8), pages 975-988, August.
    • Handle: RePEc:inm:ormnsc:v:39:y:1993:i:8:p:975-988
    DOI: 10.1287/mnsc.39.8.975
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    Citations

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    Cited by:

    1. Park, Chan-Woo & Lee, Hyo-Seong, 2013. "Performance evaluation of a multi-product CONWIP assembly system with correlated external demands," International Journal of Production Economics, Elsevier, vol. 144(1), pages 334-344.
    2. He, Xin-Feng & Wu, Su & Li, Quan-Lin, 2007. "Production variability of production lines," International Journal of Production Economics, Elsevier, vol. 107(1), pages 78-87, May.
    3. Eric Logan Huggins & Tava Lennon Olsen, 2010. "Inventory Control with Generalized Expediting," Operations Research, INFORMS, vol. 58(5), pages 1414-1426, October.
    4. Duri, Christelle & Frein, Yannick & Lee, Hyo-Seong, 2000. "Performance evaluation and design of a CONWIP system with inspections," International Journal of Production Economics, Elsevier, vol. 64(1-3), pages 219-229, March.
    5. Eric Logan Huggins & Tava Lennon Olsen, 2003. "Supply Chain Management with Guaranteed Delivery," Management Science, INFORMS, vol. 49(9), pages 1154-1167, September.
    6. Gosavi, Abhijit & Gosavi, Aparna A., 2024. "CONWIP control in the digitized world: The case of the cyber-physical jobshop," International Journal of Production Economics, Elsevier, vol. 270(C).
    7. Tan, Baris, 1998. "Effects of variability on the due-time performance of a continuous materials flow production system in series," International Journal of Production Economics, Elsevier, vol. 54(1), pages 87-100, January.
    8. Tan, Bar[iota]s, 1999. "Variance of the output as a function of time: Production line dynamics," European Journal of Operational Research, Elsevier, vol. 117(3), pages 470-484, September.

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