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Optimal Screening Plans for Nonserial Production Systems

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  • Robert R. Britney

    (The University of Western Ontario)

Abstract

Quality control screening programs are defined and evaluated for the general n-stage nonserial production process. A total expected cost criterion, developed as a function of the screening applied at each inspection station, embraces the various costs of inspection, defect repair and defects passing through the process undetected. Absorbing Markov chains aid in the identification of probabilistic flows of defective materials through the production network. Minimum cost screening programs are developed, giving the optimal level of screening at every potential inspection station. For a quasi-concave cost structure, it is shown that the optimal screening program will employ either zero or 100 percent effective screening throughout. A standard branch and bound "backtrack" strategy readily identifies optimal screening programs for the unconstrained (0, 1) nonlinear integer programming problem. An illustrative problem is presented.

Suggested Citation

  • Robert R. Britney, 1972. "Optimal Screening Plans for Nonserial Production Systems," Management Science, INFORMS, vol. 18(9), pages 550-559, May.
    • Handle: RePEc:inm:ormnsc:v:18:y:1972:i:9:p:550-559
    DOI: 10.1287/mnsc.18.9.550
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    Cited by:

    1. Van Volsem, Sofie & Dullaert, Wout & Van Landeghem, Hendrik, 2007. "An Evolutionary Algorithm and discrete event simulation for optimizing inspection strategies for multi-stage processes," European Journal of Operational Research, Elsevier, vol. 179(3), pages 621-633, June.
    2. Salih Tekin & Sigrún Andradóttir, 2020. "Inspection location in capacity-constrained lines," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 28(3), pages 905-937, September.
    3. 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.
    4. Yimin Wang, 2013. "Specification vagueness and supply quality risk," Naval Research Logistics (NRL), John Wiley & Sons, vol. 60(3), pages 222-236, April.
    5. Gurnani, Haresh & Drezner, Zvi & Akella, Ram, 1996. "Capacity planning under different inspection strategies," European Journal of Operational Research, Elsevier, vol. 89(2), pages 302-312, March.

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