IDEAS home Printed from https://ideas.repec.org/a/eee/proeco/v130y2011i1p118-124.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0925-5273(10)00473-1
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Salameh, M. K. & Jaber, M. Y., 2000. "Economic production quantity model for items with imperfect quality," International Journal of Production Economics, Elsevier, vol. 64(1-3), pages 59-64, March.
    2. Chung, Kun-Jen & Huang, Yung-Fu, 2003. "The optimal cycle time for EPQ inventory model under permissible delay in payments," International Journal of Production Economics, Elsevier, vol. 84(3), pages 307-318, June.
    3. Yoo, Seung Ho & Kim, DaeSoo & Park, Myung-Sub, 2009. "Economic production quantity model with imperfect-quality items, two-way imperfect inspection and sales return," International Journal of Production Economics, Elsevier, vol. 121(1), pages 255-265, September.
    4. Pham, Hoang & Wang, Hongzhou, 1996. "Imperfect maintenance," European Journal of Operational Research, Elsevier, vol. 94(3), pages 425-438, November.
    5. Chelbi, Anis & Ait-Kadi, Daoud, 2004. "Analysis of a production/inventory system with randomly failing production unit submitted to regular preventive maintenance," European Journal of Operational Research, Elsevier, vol. 156(3), pages 712-718, August.
    6. Evan L. Porteus, 1986. "Optimal Lot Sizing, Process Quality Improvement and Setup Cost Reduction," Operations Research, INFORMS, vol. 34(1), pages 137-144, February.
    7. Sheu, Shey-Huei & Lin, Yuh-Bin & Liao, Gwo-Liang, 2006. "Optimum policies for a system with general imperfect maintenance," Reliability Engineering and System Safety, Elsevier, vol. 91(3), pages 362-369.
    8. Richard Barlow & Larry Hunter, 1960. "Optimum Preventive Maintenance Policies," Operations Research, INFORMS, vol. 8(1), pages 90-100, February.
    9. Piñeyro, Pedro & Viera, Omar, 2010. "The economic lot-sizing problem with remanufacturing and one-way substitution," International Journal of Production Economics, Elsevier, vol. 124(2), pages 482-488, April.
    10. Sheng-Tsaing Tseng & Ruey Huei Yeh & Wen-Tsung Ho, 1998. "Imperfect maintenance policies for deteriorating production systems," International Journal of Production Economics, Elsevier, vol. 55(2), pages 191-201, July.
    11. Jaber, M.Y. & Bonney, M. & Moualek, I., 2009. "Lot sizing with learning, forgetting and entropy cost," International Journal of Production Economics, Elsevier, vol. 118(1), pages 19-25, March.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. 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).
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    8. 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.
    9. R. Udayakumar & S. Priyan & Mandeep Mittal & Anuwat Jirawattanapanit & Grienggrai Rajchakit & Pramet Kaewmesri, 2022. "A Sustainable Production Scheduling with Backorders under Different Forms of Rework Process and Green Investment," Sustainability, MDPI, vol. 14(24), pages 1-38, December.
    10. 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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Liao, Gwo-Liang & Chen, Yen Hung & Sheu, Shey-Huei, 2009. "Optimal economic production quantity policy for imperfect process with imperfect repair and maintenance," European Journal of Operational Research, Elsevier, vol. 195(2), pages 348-357, June.
    2. Liao, Gwo-Liang, 2007. "Optimal production correction and maintenance policy for imperfect process," European Journal of Operational Research, Elsevier, vol. 182(3), pages 1140-1149, November.
    3. Gouiaa-Mtibaa, A. & Dellagi, S. & Achour, Z. & Erray, W., 2018. "Integrated Maintenance-Quality policy with rework process under improved imperfect preventive maintenance," Reliability Engineering and System Safety, Elsevier, vol. 173(C), pages 1-11.
    4. 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.
    5. Guo R. & Ascher H. & Love E., 2001. "Towards Practical and Synthetical Modelling of Repairable Systems," Stochastics and Quality Control, De Gruyter, vol. 16(1), pages 147-182, January.
    6. Ruey Yeh & Wen Chang & Hui-Chiung Lo, 2010. "Optimal threshold values of age and two-phase maintenance policy for leased equipments using age reduction method," Annals of Operations Research, Springer, vol. 181(1), pages 171-183, December.
    7. 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.
    8. Sraboni Mandal & Danish Ali Khan, 2015. "Integrated inventory model with uniform demand for one vendor one customer," International Journal of Business Performance and Supply Chain Modelling, Inderscience Enterprises Ltd, vol. 7(1), pages 36-52.
    9. Harun Öztürk, 2021. "Optimal production run time for an imperfect production inventory system with rework, random breakdowns and inspection costs," Operational Research, Springer, vol. 21(1), pages 167-204, March.
    10. Ouyang, Liang-Yuh & Chang, Chun-Tao, 2013. "Optimal production lot with imperfect production process under permissible delay in payments and complete backlogging," International Journal of Production Economics, Elsevier, vol. 144(2), pages 610-617.
    11. Khan, M. & Jaber, M.Y. & Wahab, M.I.M., 2010. "Economic order quantity model for items with imperfect quality with learning in inspection," International Journal of Production Economics, Elsevier, vol. 124(1), pages 87-96, March.
    12. El-Ferik, Sami, 2008. "Economic production lot-sizing for an unreliable machine under imperfect age-based maintenance policy," European Journal of Operational Research, Elsevier, vol. 186(1), pages 150-163, April.
    13. Chayanika Rout & Ravi Shankar Kumar & Debjani Chakraborty & Adrijit Goswami, 2019. "An EPQ model for deteriorating items with imperfect production, inspection errors, rework and shortages : a type-2 fuzzy approach," OPSEARCH, Springer;Operational Research Society of India, vol. 56(3), pages 657-688, September.
    14. Khan, M. & Jaber, M.Y. & Guiffrida, A.L. & Zolfaghari, S., 2011. "A review of the extensions of a modified EOQ model for imperfect quality items," International Journal of Production Economics, Elsevier, vol. 132(1), pages 1-12, July.
    15. Sudipta Sinha & Nikunja Mohan Modak & Shib Sankar Sana, 2020. "An entropic order quantity inventory model for quality assessment considering price sensitive demand," OPSEARCH, Springer;Operational Research Society of India, vol. 57(1), pages 88-103, March.
    16. Yoo, Seung Ho & Kim, DaeSoo & Park, Myung-Sub, 2012. "Lot sizing and quality investment with quality cost analyses for imperfect production and inspection processes with commercial return," International Journal of Production Economics, Elsevier, vol. 140(2), pages 922-933.
    17. Sher, Mikhail M. & Kim, Seung-Lae & Banerjee, Avijit & Paz, Michael T., 2018. "A supply chain coordination mechanism for common items subject to failure in the electronics, defense, and medical industries," International Journal of Production Economics, Elsevier, vol. 203(C), pages 164-173.
    18. Tien-Yu Lin & Kuo-Lung Hou, 2015. "An imperfect quality economic order quantity with advanced receiving," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 23(2), pages 535-551, July.
    19. Abu Hashan Md Mashud & Hui-Ming Wee & Chiao-Ven Huang & Jei-Zheng Wu, 2020. "Optimal Replenishment Policy for Deteriorating Products in a Newsboy Problem with Multiple Just-in-Time Deliveries," Mathematics, MDPI, vol. 8(11), pages 1-18, November.
    20. Souheil Ayed & Zied Hajej & Sadok Turki & Nidhal Rezg, 2017. "FPA method for optimal production planning under availability/degradation machine and subcontracting constraint," International Journal of Production Research, Taylor & Francis Journals, vol. 55(8), pages 2135-2148, April.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:proeco:v:130:y:2011:i:1:p:118-124. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/ijpe .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.