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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.

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  • 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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    6. 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.
    7. Leopoldo Eduardo Cárdenas-Barrón & María José Lea Plaza-Makowsky & María Alejandra Sevilla-Roca & José María Núñez-Baumert & Buddhadev Mandal, 2021. "An Inventory Model for Imperfect Quality Products with Rework, Distinct Holding Costs, and Nonlinear Demand Dependent on Price," Mathematics, MDPI, vol. 9(12), pages 1-20, June.
    8. Mohammed Alkahtani, 2022. "Mathematical Modelling of Inventory and Process Outsourcing for Optimization of Supply Chain Management," Mathematics, MDPI, vol. 10(7), pages 1-27, April.
    9. 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.
    10. 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.
    11. Waqas Ahmed & Muhammad Jalees & Muhammad Omair & Zainab Mukhtar & Muhammad Imran, 2022. "An inventory management for global supply chain through reworking of defective items having positive inventory level under multi-trade-credit-period," Annals of Operations Research, Springer, vol. 315(1), pages 1-28, August.
    12. Javad Asadkhani & Hadi Mokhtari & Saman Tahmasebpoor, 2022. "Optimal lot-sizing under learning effect in inspection errors with different types of imperfect quality items," Operational Research, Springer, vol. 22(3), pages 2631-2665, July.
    13. 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.
    14. Muhammad Tayyab & Biswajit Sarkar & Bernardo Nugroho Yahya, 2018. "Imperfect Multi-Stage Lean Manufacturing System with Rework under Fuzzy Demand," Mathematics, MDPI, vol. 7(1), pages 1-18, December.
    15. S. Rajeswari & C. Sugapriya & D. Nagarajan, 2022. "An analysis of uncertain situation and advance payment system on a double-storage fuzzy inventory model," OPSEARCH, Springer;Operational Research Society of India, vol. 59(1), pages 20-40, March.
    16. 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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