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Optimal production run time for a deteriorating production system under an extended inspection policy

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  • Hu, Fei
  • Zong, Qun

Abstract

A deteriorating production system is subjected to random deterioration from an in-control state to an out-of-control state with a general shift distribution. In order to reduce the defective items, part inspection policy, under which production inspections are performed only at the end of the production run, and full inspection policy are both considered in the literature. Moreover, the former dominates the latter. Since the product produced towards the end of a production cycle are more likely to be defective, it can further economize the inspection costs that they are directly reworked without inspection. In this paper, we propose an extended product inspection policy for a deteriorating production system. Product inspections are performed in the middle of a production cycle, and after the inspection, all products produced until the end of the production run are fully reworked. Based on the model, we show that there exists a production run time and a corresponding unique inspection policy such that the expected total cost per item per cycle is minimized. Finally, numerical examples are provided to illustrate our extended inspection policy, and indicate that such product inspection model will reduce the quality-related cost than part inspection does.

Suggested Citation

  • Hu, Fei & Zong, Qun, 2009. "Optimal production run time for a deteriorating production system under an extended inspection policy," European Journal of Operational Research, Elsevier, vol. 196(3), pages 979-986, August.
  • Handle: RePEc:eee:ejores:v:196:y:2009:i:3:p:979-986
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    References listed on IDEAS

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    1. Yeh, Ruey Huei & Ho, Wen-Tsung & Tseng, Sheng-Tsaing, 2000. "Optimal production run length for products sold with warranty," European Journal of Operational Research, Elsevier, vol. 120(3), pages 575-582, February.
    2. Yeh, Ruey Huei & Chen, Tzu-Hui, 2006. "Optimal lot size and inspection policy for products sold with warranty," European Journal of Operational Research, Elsevier, vol. 174(2), pages 766-776, October.
    3. Wang, Chih-Hsiung, 2005. "Integrated production and product inspection policy for a deteriorating production system," International Journal of Production Economics, Elsevier, vol. 95(1), pages 123-134, January.
    4. Hyun Kim, Chang & Hong, Yushin, 1999. "An optimal production run length in deteriorating production processes," International Journal of Production Economics, Elsevier, vol. 58(2), pages 183-189, January.
    5. Djamaludin, I. & Murthy, D. N. P. & Wilson, R. J., 1994. "Quality control through lot sizing for items sold with warranty," International Journal of Production Economics, Elsevier, vol. 33(1-3), pages 97-107, January.
    6. Hau L. Lee & Meir J. Rosenblatt, 1987. "Simultaneous Determination of Production Cycle and Inspection Schedules in a Production System," Management Science, INFORMS, vol. 33(9), pages 1125-1136, September.
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    Cited by:

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    2. 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.
    3. Tirkel, Israel & Rabinowitz, Gad, 2014. "Modeling cost benefit analysis of inspection in a production line," International Journal of Production Economics, Elsevier, vol. 147(PA), pages 38-45.

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