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Economic production quantity model for randomly failing production process with minimal repair and imperfect maintenance

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  • Liao, Gwo-Liang
  • Sheu, Shey-Huei

Abstract

This study applies periodic preventive maintenance (PM) to economic production quantity (EPQ) model for a randomly failing production process having a deteriorating production system with increasing hazard rate: minimal repaired and reworked upon failure (out of control state). The minimal repair performs restorations and returns the system to an operating state (in-control state). It is assumed that, after each PM, two types of PM are performed, namely imperfect PM and perfect PM. The probability that PM is perfect depends on the number of imperfect maintenance operations performed since the last renewal cycle. Mathematical formulas for the expected total cost are obtained. For the EPQ model, the optimum run time, required to minimize the total cost, is discussed. Various special cases are considered, including the maintenance learning effect. Finally, a numerical example is presented to illustrate the effect of PM and setup, breakdown and holding cost.

Suggested Citation

  • Liao, Gwo-Liang & Sheu, Shey-Huei, 2011. "Economic production quantity model for randomly failing production process with minimal repair and imperfect maintenance," International Journal of Production Economics, Elsevier, vol. 130(1), pages 118-124, March.
  • Handle: RePEc:eee:proeco:v:130:y:2011:i:1:p:118-124
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    References listed on IDEAS

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    Cited by:

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    2. Vargas, Vicente & Metters, Richard, 2011. "A master production scheduling procedure for stochastic demand and rolling planning horizons," International Journal of Production Economics, Elsevier, vol. 132(2), pages 296-302, August.
    3. Jiawen Hu & Zuhua Jiang & Hong Wang, 2017. "Joint Optimization of Production Plan and Preventive Maintenance Schedule by Stackelberg Game," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 34(04), pages 1-28, August.
    4. Jafari, L. & Makis, V., 2015. "Joint optimal lot sizing and preventive maintenance policy for a production facility subject to condition monitoring," International Journal of Production Economics, Elsevier, vol. 169(C), pages 156-168.
    5. Ata Allah Taleizadeh, 2018. "A constrained integrated imperfect manufacturing-inventory system with preventive maintenance and partial backordering," Annals of Operations Research, Springer, vol. 261(1), pages 303-337, February.
    6. Al-Salamah, Muhammad, 2019. "Economic production quantity in an imperfect manufacturing process with synchronous and asynchronous flexible rework rates," Operations Research Perspectives, Elsevier, vol. 6(C).
    7. Guchhait, Partha & Kumar Maiti, Manas & Maiti, Manoranjan, 2013. "Production-inventory models for a damageable item with variable demands and inventory costs in an imperfect production process," International Journal of Production Economics, Elsevier, vol. 144(1), pages 180-188.
    8. Lie-Fern Hsu & Jia-Tzer Hsu, 2016. "Economic production quantity (EPQ) models under an imperfect production process with shortages backordered," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(4), pages 852-867, March.
    9. Jaber, Mohamad Y. & Zanoni, Simone & Zavanella, Lucio E., 2014. "Economic order quantity models for imperfect items with buy and repair options," International Journal of Production Economics, Elsevier, vol. 155(C), pages 126-131.

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