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Economic order quantity models for imperfect items with buy and repair options

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  • Jaber, Mohamad Y.
  • Zanoni, Simone
  • Zavanella, Lucio E.

Abstract

One of the celebrated extensions of the economic order/production quantity (EOQ/EPQ) model is one that assumes a received shipment contains a fraction of imperfect (non-conforming) quality items, where these items, detected by 100% screening, are sold as a single batch at a discounted price. This paper revisits this model (Salameh and Jaber, 2000, Int. J. Prod. Econ. 64 (1), 59–64) and extends it by assuming that a shipment is coming from a distant supplier and, therefore, it is not feasible to replace the imperfect items with an additional order to the same supplier. To address this restriction, two models are presented. The first assumes that imperfect items are sent to a repair shop who charges a cost plus a markup margin, while the second model assumes that imperfect items are replaced by good ones from a local supplier at a higher cost. The inventory environment assumed in this paper is relevant in todays globalised supply chains, thus practical implications of the problem faced are discussed. Numerical results are also presented and discussed. The results show that there exists a threshold value of the unit purchase cost of an emergency-ordered item and a fraction of defectives to which it is decided to either buy or repair.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:proeco:v:155:y:2014:i:c:p:126-131
    DOI: 10.1016/j.ijpe.2013.10.014
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    References listed on IDEAS

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    1. Papachristos, S. & Konstantaras, I., 2006. "Economic ordering quantity models for items with imperfect quality," International Journal of Production Economics, Elsevier, vol. 100(1), pages 148-154, March.
    2. Yassine, Ali & Maddah, Bacel & Salameh, Moueen, 2012. "Disaggregation and consolidation of imperfect quality shipments in an extended EPQ model," International Journal of Production Economics, Elsevier, vol. 135(1), pages 345-352.
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    7. 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.
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    9. Maddah, Bacel & Jaber, Mohamad Y., 2008. "Economic order quantity for items with imperfect quality: Revisited," International Journal of Production Economics, Elsevier, vol. 112(2), pages 808-815, April.
    10. 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.
    11. Goyal, Suresh Kumar & Cardenas-Barron, Leopoldo Eduardo, 2002. "Note on: Economic production quantity model for items with imperfect quality - a practical approach," International Journal of Production Economics, Elsevier, vol. 77(1), pages 85-87, May.
    12. 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.
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    Cited by:

    1. Hesham K. Alfares & Ahmed M. Attia, 2017. "A supply chain model with vendor-managed inventory, consignment, and quality inspection errors," International Journal of Production Research, Taylor & Francis Journals, vol. 55(19), pages 5706-5727, October.
    2. Hauck, Zsuzsanna & Vörös, József, 2015. "Lot sizing in case of defective items with investments to increase the speed of quality control," Omega, Elsevier, vol. 52(C), pages 180-189.
    3. Taleizadeh, Ata Allah & Khanbaglo, Mahboobeh Perak Sari & Cárdenas-Barrón, Leopoldo Eduardo, 2016. "An EOQ inventory model with partial backordering and reparation of imperfect products," International Journal of Production Economics, Elsevier, vol. 182(C), pages 418-434.
    4. Nima Kazemi & Salwa Hanim Abdul-Rashid & Ehsan Shekarian & Eleonora Bottani & Roberto Montanari, 2016. "A fuzzy lot-sizing problem with two-stage composite human learning," International Journal of Production Research, Taylor & Francis Journals, vol. 54(16), pages 5010-5025, August.
    5. Harun Öztürk, 2019. "Modeling an inventory problem with random supply, inspection and machine breakdown," OPSEARCH, Springer;Operational Research Society of India, vol. 56(2), pages 497-527, June.
    6. Sobhani, A. & Wahab, M.I.M. & Jaber, M.Y., 2019. "The effect of working environment aspects on a vendor–buyer inventory model," International Journal of Production Economics, Elsevier, vol. 208(C), pages 171-183.
    7. Naoufel Cheikhrouhou & Biswajit Sarkar & Baishakhi Ganguly & Asif Iqbal Malik & Rafael Batista & Young Hae Lee, 2018. "Optimization of sample size and order size in an inventory model with quality inspection and return of defective items," Annals of Operations Research, Springer, vol. 271(2), pages 445-467, December.

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