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An optimal repeat inspection plan with several classifications

Author

Listed:
  • S O Duffuaa

    (King Fahd University of Petroleum and Minerals)

  • M Khan

    (King Fahd University of Petroleum and Minerals)

Abstract

Multicharacteristic critical components exist in many systems. Such components could be a part of an aircraft, space shuttle or a gas ignition system. A component is critical if it causes disaster or a very high cost upon failure. In this paper, a new inspection plan for critical multicharacteristic components is presented. A mathematical model that depicts the plan is developed. An algorithm is proposed for finding the optimal number of repeat inspections and the sequence of characteristics for inspection that minimizes expected total cost per accepted component. The expected cost consists of the cost of inspection and the cost of misclassifications. The inspection plan and the model developed generalize existing models in the literature and provide a more realistic formulation. An example is given to demonstrate the plan and the model.

Suggested Citation

  • S O Duffuaa & M Khan, 2002. "An optimal repeat inspection plan with several classifications," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 53(9), pages 1016-1026, September.
    • Handle: RePEc:pal:jorsoc:v:53:y:2002:i:9:d:10.1057_palgrave.jors.2601392
    DOI: 10.1057/palgrave.jors.2601392
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    Citations

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    Cited by:

    1. Duffuaa, S.O. & Khan, Mehmood, 2008. "A general repeat inspection plan for dependent multicharacteristic critical components," European Journal of Operational Research, Elsevier, vol. 191(2), pages 374-385, December.
    2. Mehmood Khan & Matloub Hussain & Leopoldo Eduardo Cárdenas-Barrón, 2017. "Learning and screening errors in an EPQ inventory model for supply chains with stochastic lead time demands," International Journal of Production Research, Taylor & Francis Journals, vol. 55(16), pages 4816-4832, August.
    3. Hsu, Jia-Tzer & Hsu, Lie-Fern, 2013. "An EOQ model with imperfect quality items, inspection errors, shortage backordering, and sales returns," International Journal of Production Economics, Elsevier, vol. 143(1), pages 162-170.
    4. R. Patro & Mitali M. Nayak & M. Acharya, 2019. "An EOQ model for fuzzy defective rate with allowable proportionate discount," OPSEARCH, Springer;Operational Research Society of India, vol. 56(1), pages 191-215, March.
    5. Bimal Kumar Sett & Bikash Koli Dey & Biswajit Sarkar, 2020. "Autonomated Inspection Policy for Smart Factory—An Improved Approach," Mathematics, MDPI, vol. 8(10), pages 1-19, October.
    6. Altay, Nezih & Green III, Walter G., 2006. "OR/MS research in disaster operations management," European Journal of Operational Research, Elsevier, vol. 175(1), pages 475-493, November.
    7. Khan, Mehmood & Jaber, Mohamad Y. & Bonney, Maurice, 2011. "An economic order quantity (EOQ) for items with imperfect quality and inspection errors," International Journal of Production Economics, Elsevier, vol. 133(1), pages 113-118, September.

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