IDEAS home Printed from https://ideas.repec.org/a/eee/proeco/v182y2016icp418-434.html
   My bibliography  Save this article

An EOQ inventory model with partial backordering and reparation of imperfect products

Author

Listed:
  • Taleizadeh, Ata Allah
  • Khanbaglo, Mahboobeh Perak Sari
  • Cárdenas-Barrón, Leopoldo Eduardo

Abstract

In many situations of real life, the products are manufactured from a supplier that is located very far from buyer. Moreover, the lot contains some products which have imperfect quality and the defective products cannot be replaced with perfect ones immediately. In order to identify imperfect products, the buyer conducts a screening process. The imperfect products are fully valuable and repairable therefore they are withdrawn as a single lot from inventory and sent to a local repair shop. After reparation process, the repaired products are returned to the buyer store. Considering the time when the lot of repaired products arrives to the buyer store, four cases are identified and studied. The optimal solution to each case is derived. The applicability of the proposed inventory model is illustrated with a numerical example.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:proeco:v:182:y:2016:i:c:p:418-434
    DOI: 10.1016/j.ijpe.2016.09.013
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0925527316302432
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.ijpe.2016.09.013?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    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. Eroglu, Abdullah & Ozdemir, Gultekin, 2007. "An economic order quantity model with defective items and shortages," International Journal of Production Economics, Elsevier, vol. 106(2), pages 544-549, April.
    2. Sarkar, Biswajit & Saren, Sharmila, 2016. "Product inspection policy for an imperfect production system with inspection errors and warranty cost," European Journal of Operational Research, Elsevier, vol. 248(1), pages 263-271.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. Skouri, K. & Konstantaras, I. & Lagodimos, A.G. & Papachristos, S., 2014. "An EOQ model with backorders and rejection of defective supply batches," International Journal of Production Economics, Elsevier, vol. 155(C), pages 148-154.
    8. Rad, M. A. & Khoshalhan, F. & Glock, C. H., 2014. "Optimizing inventory and sales decisions in a two-stage supply chain with imperfect quality products and backorders," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 65264, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    9. Pentico, David W. & Drake, Matthew J., 2009. "The deterministic EOQ with partial backordering: A new approach," European Journal of Operational Research, Elsevier, vol. 194(1), pages 102-113, April.
    10. Taleizadeh, Ata Allah & Pentico, David W. & Aryanezhad, Mirbahador & Ghoreyshi, Seyed Mohammad, 2012. "An economic order quantity model with partial backordering and a special sale price," European Journal of Operational Research, Elsevier, vol. 221(3), pages 571-583.
    11. 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.
    12. Jaber, M.Y. & Goyal, S.K. & Imran, M., 2008. "Economic production quantity model for items with imperfect quality subject to learning effects," International Journal of Production Economics, Elsevier, vol. 115(1), pages 143-150, September.
    13. Hlioui, Rached & Gharbi, Ali & Hajji, Adnène, 2015. "Replenishment, production and quality control strategies in three-stage supply chain," International Journal of Production Economics, Elsevier, vol. 166(C), pages 90-102.
    14. 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.
    15. Evan L. Porteus, 1986. "Optimal Lot Sizing, Process Quality Improvement and Setup Cost Reduction," Operations Research, INFORMS, vol. 34(1), pages 137-144, February.
    16. Rezaei, Jafar & Salimi, Negin, 2012. "Economic order quantity and purchasing price for items with imperfect quality when inspection shifts from buyer to supplier," International Journal of Production Economics, Elsevier, vol. 137(1), pages 11-18.
    17. Monami Roy & Shib Sana & Kripasindhu Chaudhuri, 2011. "An economic order quantity model of imperfect quality items with partial backlogging," International Journal of Systems Science, Taylor & Francis Journals, vol. 42(8), pages 1409-1419.
    18. Chang, Hung-Chi & Ho, Chia-Huei, 2010. "Exact closed-form solutions for "optimal inventory model for items with imperfect quality and shortage backordering"," Omega, Elsevier, vol. 38(3-4), pages 233-237, June.
    19. Alamri, Adel A. & Harris, Irina & Syntetos, Aris A., 2016. "Efficient inventory control for imperfect quality items," European Journal of Operational Research, Elsevier, vol. 254(1), pages 92-104.
    20. Ongkunaruk, P. & Wahab, M.I.M. & Chen, Y., 2016. "A genetic algorithm for a joint replenishment problem with resource and shipment constraints and defective items," International Journal of Production Economics, Elsevier, vol. 175(C), pages 142-152.
    21. 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.
    22. Wee, H.M. & Yu, Jonas & Chen, M.C., 2007. "Optimal inventory model for items with imperfect quality and shortage backordering," Omega, Elsevier, vol. 35(1), pages 7-11, February.
    23. 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.
    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. Ata Allah Taleizadeh & Zahedeh Cheraghi & Leopoldo Eduardo Cárdenas-Barrón & Mahsa Noori-Daryan, 2021. "Studying the Effect of Noise on Pricing and Marketing Decisions of New Products under Co-op Advertising Strategy in Supply Chains: Game Theoretical Approaches," Mathematics, MDPI, vol. 9(11), pages 1-26, May.
    2. Konstantaras, I. & Skouri, K. & Lagodimos, A.G., 2019. "EOQ with independent endogenous supply disruptions," Omega, Elsevier, vol. 83(C), pages 96-106.
    3. Ni, Ni & Howell, Brendan J. & Sharkey, Thomas C., 2018. "Modeling the impact of unmet demand in supply chain resiliency planning," Omega, Elsevier, vol. 81(C), pages 1-16.
    4. Liao, Haolan & Wu, Di & Wang, Yuhan & Lyu, Zeyu & Sun, Hongmei & Nie, Yongyou & He, He, 2022. "Impacts of carbon trading mechanism on closed-loop supply chain: A case study of stringer pallet remanufacturing," Socio-Economic Planning Sciences, Elsevier, vol. 81(C).
    5. Subrata Panja & Shyamal Kumar Mondal, 2023. "Sustainable production inventory management through bi-level greening performance in a three-echelon supply chain," Operational Research, Springer, vol. 23(1), pages 1-55, March.
    6. 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.
    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.
    8. Taleizadeh, Ata Allah & Tafakkori, Keivan & Thaichon, Park, 2021. "Resilience toward supply disruptions: A stochastic inventory control model with partial backordering under the base stock policy," Journal of Retailing and Consumer Services, Elsevier, vol. 58(C).
    9. Sunyu Tao & Shenglin Liu & Huijie Zhou & Xiaoyan Mao, 2024. "Research on Inventory Sustainable Development Strategy for Maximizing Cost-Effectiveness in Supply Chain," Sustainability, MDPI, vol. 16(11), pages 1-23, May.
    10. Mou, Shandong & Robb, David J. & DeHoratius, Nicole, 2018. "Retail store operations: Literature review and research directions," European Journal of Operational Research, Elsevier, vol. 265(2), pages 399-422.
    11. Dariusz Milewski & Beata Milewska, 2021. "The Energy Efficiency of the Last Mile in the E-Commerce Distribution in the Context the COVID-19 Pandemic," Energies, MDPI, vol. 14(23), pages 1-13, November.
    12. 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.

    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. 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.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    6. Biswajit Sarkar & Waqas Ahmed & Seok-Beom Choi & Muhammad Tayyab, 2018. "Sustainable Inventory Management for Environmental Impact through Partial Backordering and Multi-Trade-Credit-Period," Sustainability, MDPI, vol. 10(12), pages 1-28, December.
    7. Skouri, K. & Konstantaras, I. & Lagodimos, A.G. & Papachristos, S., 2014. "An EOQ model with backorders and rejection of defective supply batches," International Journal of Production Economics, Elsevier, vol. 155(C), pages 148-154.
    8. 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.
    9. 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.
    10. Ivan Darma Wangsa & Hui Ming Wee & Shih-Hsien Tseng, 2019. "A coordinated vendor–buyer system considering loss and damage claims, insurance cost and stochastic lead time," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 10(3), pages 384-398, June.
    11. Rezaei, Jafar & Salimi, Negin, 2012. "Economic order quantity and purchasing price for items with imperfect quality when inspection shifts from buyer to supplier," International Journal of Production Economics, Elsevier, vol. 137(1), pages 11-18.
    12. 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.
    13. 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.
    14. 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.
    15. Kevin Hsu, Wen-Kai & Yu, Hong-Fwu, 2009. "EOQ model for imperfective items under a one-time-only discount," Omega, Elsevier, vol. 37(5), pages 1018-1026, October.
    16. Nasr, Walid W. & Jaber, Mohamad Y., 2019. "Supplier development in a two-level lot sizing problem with non-conforming items and learning," International Journal of Production Economics, Elsevier, vol. 216(C), pages 349-363.
    17. Sebatjane, Makoena & Adetunji, Olufemi, 2019. "Economic order quantity model for growing items with imperfect quality," Operations Research Perspectives, Elsevier, vol. 6(C).
    18. 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.
    19. Aditi Khanna & Aakanksha Kishore & Biswajit Sarkar & Chandra K. Jaggi, 2018. "Supply Chain with Customer-Based Two-Level Credit Policies under an Imperfect Quality Environment," Mathematics, MDPI, vol. 6(12), pages 1-35, December.
    20. Chang, Hung-Chi & Ho, Chia-Huei, 2010. "Exact closed-form solutions for "optimal inventory model for items with imperfect quality and shortage backordering"," Omega, Elsevier, vol. 38(3-4), pages 233-237, June.

    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:182:y:2016:i:c:p:418-434. 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.