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Note---Optimal Inspection Policy in Sequential Screening

Author

Listed:
  • June S. Park

    (Department of Management Sciences, The University of Iowa, Iowa City, Iowa 52242)

  • Michael H. Peters

    (Department of Quantitative Business Analysis, Louisiana State University, Baton Rouge, Louisiana 70803)

  • Kwei Tang

    (Department of Quantitative Business Analysis, Louisiana State University, Baton Rouge, Louisiana 70803)

Abstract

Under sequential screening, a production lot is inspected item-by-item; the decision is made after inspecting each item whether to inspect another item or to reject the remainder of the lot; and thus uninspected items are never accepted. This screening process is a special case of the sequential sampling considered in Wortham and Wilson (1971). The process is formulated as an optimal stopping problem using a Bayesian approach. Based on an analysis of the structural properties of the optimal policy, a backward-recursive optimal algorithm, which is more efficient than the existing algorithm for optimal sequential sampling, is developed.

Suggested Citation

  • June S. Park & Michael H. Peters & Kwei Tang, 1991. "Note---Optimal Inspection Policy in Sequential Screening," Management Science, INFORMS, vol. 37(8), pages 1058-1061, August.
  • Handle: RePEc:inm:ormnsc:v:37:y:1991:i:8:p:1058-1061
    DOI: 10.1287/mnsc.37.8.1058
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    Citations

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    Cited by:

    1. Bendavid, Illana & Herer, Yale T., 2009. "Economic optimization of off-line inspection in a process that also produces non-conforming units when in control and conforming units when out of control," European Journal of Operational Research, Elsevier, vol. 195(1), pages 139-155, May.
    2. Yu, Hong-Fwu & Yu, Wen-Ching, 2007. "An optimal mixed policy of inspection and burn-in and the optimal production quantity," International Journal of Production Economics, Elsevier, vol. 105(2), pages 483-491, February.

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