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The Analysis of a Simple Class of Multistage Inspection Plans

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  • Leon S. White

    (Massachusetts Institute of Technology)

Abstract

A simple class of multistage inspection plans is considered for an ordered production process consisting of N - 1 manufacturing stages and a final inspection stage. The plans are applied to batches of items of size S. At each stage any number of items from 0 to S may be inspected. Defectives found are replaced with non-defectives. Costs of inspection, replacement, and the cost of undetected defectives are included. It is shown that under certain conditions an optimal inspection plan has the property that at every stage either the whole batch is inspected or no inspection is performed. In such cases a very simple dynamic program can be solved to find the optimal plan.

Suggested Citation

  • Leon S. White, 1966. "The Analysis of a Simple Class of Multistage Inspection Plans," Management Science, INFORMS, vol. 12(9), pages 685-693, May.
    • Handle: RePEc:inm:ormnsc:v:12:y:1966:i:9:p:685-693
    DOI: 10.1287/mnsc.12.9.685
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    Cited by:

    1. 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.
    2. Jewkes, Elizabeth M., 1995. "Optimal inspection effort and scheduling for a manufacturing process with repair," European Journal of Operational Research, Elsevier, vol. 85(2), pages 340-351, September.

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