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A Queuing Network Model of a Single-Operator Manufacturing Workcell with Machine/Operator Interference

Author

Listed:
  • Paul Desruelle

    (European Commission, 200, rue de la Loi, 1049 Brussels, Belgium)

  • Harold J. Steudel

    (University of Wisconsin-Madison, Dept. of Industrial Engineering, Madison, Wisconsin 53706)

Abstract

We present an analytical approach to evaluate the performance of a manufacturing workcell tended by a single operator when operator-induced machine interference occurs. Each part must be processed at every workstation in the workcell. The fact that one or more machines can request an operator service while the operator is busy at another machine induces machine interference. If the reduction of the workcell's capacity due to this interference becomes too great, then the customer demand may not be satisfied. Our approach determines quickly whether the workcell can meet a required demand under its current configuration and operating parameters. We do this by modeling the workcell as two interacting queuing networks: an open part/machine network, and a closed machine/operator network. In the open network, parts arrive in batches of a fixed size for each part type, but with exponentially distributed interarrival times between parts. In both networks, service times follow general distributions that are characterized by their first two moments.

Suggested Citation

  • Paul Desruelle & Harold J. Steudel, 1996. "A Queuing Network Model of a Single-Operator Manufacturing Workcell with Machine/Operator Interference," Management Science, INFORMS, vol. 42(4), pages 576-590, April.
    • Handle: RePEc:inm:ormnsc:v:42:y:1996:i:4:p:576-590
    DOI: 10.1287/mnsc.42.4.576
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    Citations

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    Cited by:

    1. Ki Ching, Wai, 2001. "Machine repairing models for production systems," International Journal of Production Economics, Elsevier, vol. 70(3), pages 257-266, April.
    2. Ece Zeliha Demirci & Joachim Arts & Geert-Jan Van Houtum, 2022. "A restless bandit approach for capacitated condition based maintenance scheduling," DEM Discussion Paper Series 22-01, Department of Economics at the University of Luxembourg.
    3. Yang, Taho & Lee, Rong-Shean & Chen, Mu-Chen & Chen, Pangwei, 2005. "Queueing network model for a single-operator machine interference problem with external operations," European Journal of Operational Research, Elsevier, vol. 167(1), pages 163-178, November.
    4. Barry L. Nelson & David Goldsman, 2001. "Comparisons with a Standard in Simulation Experiments," Management Science, INFORMS, vol. 47(3), pages 449-463, March.
    5. Haque, Lani & Armstrong, Michael J., 2007. "A survey of the machine interference problem," European Journal of Operational Research, Elsevier, vol. 179(2), pages 469-482, June.
    6. Wallace J. Hopp & Seyed M.R. Iravani & Biying Shou & Robert Lien, 2009. "Design and control of agile automated CONWIP production lines," Naval Research Logistics (NRL), John Wiley & Sons, vol. 56(1), pages 42-56, February.

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