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Inspection location in capacity-constrained lines

Author

Listed:
  • Salih Tekin

    (TOBB University of Economics and Technology)

  • Sigrún Andradóttir

    (Georgia Institute of Technology)

Abstract

We consider the effects of inspection and repair stations on the production capacity and product quality in a serial garments production line with possible inspection and repair following each operation. We construct a profit function that takes into account inspection, repair, scrap, and goodwill costs, as well as the capacity of each station. Then we discuss how the profit function can be maximized and provide properties of the optimal inspection plan. Our analysis captures the possibility of increasing production capacity by scrapping or repairing defective items before a bottleneck operation station, and hence reducing the waste of operation capacity on defective products. Our numerical results show that incorporating such capacity considerations can have substantial impact on the optimal inspection policy and that optimal inspection allocations can be identified quickly even for large problem instances.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:cejnor:v:28:y:2020:i:3:d:10.1007_s10100-018-00604-x
    DOI: 10.1007/s10100-018-00604-x
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    References listed on IDEAS

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    1. Robert R. Britney, 1972. "Optimal Screening Plans for Nonserial Production Systems," Management Science, INFORMS, vol. 18(9), pages 550-559, May.
    2. E. Gerald Hurst, Jr., 1973. "Imperfect Inspection in a Multistage Production Process," Management Science, INFORMS, vol. 20(3), pages 378-384, November.
    3. Phillipe B. Chevalier & Lawrence M. Wein, 1997. "Inspection for Circuit Board Assembly," Management Science, INFORMS, vol. 43(9), pages 1198-1213, September.
    4. Glenn F. Lindsay & Albert B. Bishop, 1964. "Allocation of Screening Inspection Effort--A Dynamic-Programming Approach," Management Science, INFORMS, vol. 10(2), pages 342-352, January.
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    Cited by:

    1. Jun-Qiang Wang & Yun-Lei Song & Peng-Hao Cui & Yang Li, 2023. "A data-driven method for performance analysis and improvement in production systems with quality inspection," Journal of Intelligent Manufacturing, Springer, vol. 34(2), pages 455-469, February.

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