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The value of observing the condition of a deteriorating machine

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  • Stephen M. Gilbert
  • Hena M Bar

Abstract

We examine a small lot production setting in which a machine may go out of control and begin producing defective units. Traditionally, managers have had to rely upon observations of the quality of the output to determine whether the machine is in or out of control. However, with advances in technology such as vibration analysis, it is increasingly possible to obtain much more accurate information about the state of the machine. In this paper, we model and analyze a deteriorating machine in order to gain insight into the conditions under which investments in such technology are most beneficial. © 1999 John Wiley & Sons, Inc. Naval Research Logistics 46: 790–808, 1999

Suggested Citation

  • Stephen M. Gilbert & Hena M Bar, 1999. "The value of observing the condition of a deteriorating machine," Naval Research Logistics (NRL), John Wiley & Sons, vol. 46(7), pages 790-808, October.
    • Handle: RePEc:wly:navres:v:46:y:1999:i:7:p:790-808
    DOI: 10.1002/(SICI)1520-6750(199910)46:73.0.CO;2-L
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    References listed on IDEAS

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    1. Richard L. Marcellus & Maqbool Dada, 1991. "Interactive Process Quality Improvement," Management Science, INFORMS, vol. 37(11), pages 1365-1376, November.
    2. Donald Rosenfield, 1976. "Markovian Deterioration with Uncertain Information," Operations Research, INFORMS, vol. 24(1), pages 141-155, February.
    3. White, Chelsea C. & White, Douglas J., 1989. "Markov decision processes," European Journal of Operational Research, Elsevier, vol. 39(1), pages 1-16, March.
    4. Evan L. Porteus, 1990. "Note---The Impact of Inspection Delay on Process and Inspection Lot Sizing," Management Science, INFORMS, vol. 36(8), pages 999-1007, August.
    5. Maqbool Dada & Richard Marcellus, 1994. "Process Control with Learning," Operations Research, INFORMS, vol. 42(2), pages 323-336, April.
    6. Mohan Vachani, 1969. "Determining optimum reject allowances for deteriorating production systems," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 16(3), pages 275-286, September.
    7. Richard D. Smallwood & Edward J. Sondik, 1973. "The Optimal Control of Partially Observable Markov Processes over a Finite Horizon," Operations Research, INFORMS, vol. 21(5), pages 1071-1088, October.
    8. Hau L. Lee & Meir J. Rosenblatt, 1987. "Simultaneous Determination of Production Cycle and Inspection Schedules in a Production System," Management Science, INFORMS, vol. 33(9), pages 1125-1136, September.
    9. Sheldon M. Ross, 1971. "Quality Control under Markovian Deterioration," Management Science, INFORMS, vol. 17(9), pages 587-596, May.
    10. Donald Rosenfield, 1976. "Markovian Deterioration With Uncertain Information — A More General Model," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 23(3), pages 389-405, September.
    11. Kamran Moinzadeh & T. D. Klastorin, 1995. "Measuring the Impact of a Delay Buffer on Quality Costs with an Unreliable Production Process," Management Science, INFORMS, vol. 41(3), pages 513-523, March.
    12. Charles H. Fine, 1988. "A Quality Control Model with Learning Effects," Operations Research, INFORMS, vol. 36(3), pages 437-444, June.
    13. Hau L. Lee, 1992. "Lot Sizing to Reduce Capacity Utilization in a Production Process with Defective Items, Process Corrections, and Rework," Management Science, INFORMS, vol. 38(9), pages 1314-1328, September.
    14. George E. Monahan, 1982. "State of the Art---A Survey of Partially Observable Markov Decision Processes: Theory, Models, and Algorithms," Management Science, INFORMS, vol. 28(1), pages 1-16, January.
    15. William P. Pierskalla & John A. Voelker, 1976. "A survey of maintenance models: The control and surveillance of deteriorating systems," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 23(3), pages 353-388, September.
    16. Evan L. Porteus, 1986. "Optimal Lot Sizing, Process Quality Improvement and Setup Cost Reduction," Operations Research, INFORMS, vol. 34(1), pages 137-144, February.
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