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Optimal inventory model for items with imperfect quality and shortage backordering


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  • Wee, H.M.
  • Yu, Jonas
  • Chen, M.C.
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    In this study, we develop an optimal inventory model for items with imperfect quality and shortage backordering. Such implicit assumption is reasonable in view of the fact that poor-quality items do exist during production. They are usually picked up during the screening process and are withdrawn from stock instantaneously. It is assumed that all customers are willing to wait for new supply when there is a shortage. The analysis shows that our model is a generalization of the models in current literatures. An algorithm and numerical analysis developed show that our model always results in better performance.

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    Bibliographic Info

    Article provided by Elsevier in its journal Omega.

    Volume (Year): 35 (2007)
    Issue (Month): 1 (February)
    Pages: 7-11

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    Handle: RePEc:eee:jomega:v:35:y:2007:i:1:p:7-11

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    Keywords: Imperfect quality Complete backordering Optimal inventory model;


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    1. Goyal, S. K., 2002. "Note: Reply to R.A. Sarker," International Journal of Production Economics, Elsevier, vol. 77(1), pages 91-91, May.
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    Cited by:
    1. 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.
    2. Mukhopadhyay, Samar K. & Ma, Huafan, 2009. "Joint procurement and production decisions in remanufacturing under quality and demand uncertainty," International Journal of Production Economics, Elsevier, vol. 120(1), pages 5-17, July.
    3. Chiu, Singa Wang & Pai, Fan-Yun & Wu, Wen Kuei, 2013. "Alternative approach to determine the common cycle time for a multi-item production system with discontinuous deliveries and failure in rework," Economic Modelling, Elsevier, vol. 35(C), pages 593-596.
    4. Tseng, Chao-Tang & Wu, Mei-Fang & Lin, Hong-Dar & Chiu, Yuan-Shyi Peter, 2014. "Solving a vendor–buyer integrated problem with rework and a specific multi-delivery policy by a two-phase algebraic approach," Economic Modelling, Elsevier, vol. 36(C), pages 30-36.
    5. Pan, Kewen & Lai, K.K. & Liang, L. & Leung, Stephen C.H., 2009. "Two-period pricing and ordering policy for the dominant retailer in a two-echelon supply chain with demand uncertainty," Omega, Elsevier, vol. 37(4), pages 919-929, August.
    6. Ramasesh, Ranga V., 2010. "Lot-sizing decisions under limited-time price incentives: A review," Omega, Elsevier, vol. 38(3-4), pages 118-135, June.
    7. 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.
    8. Teng, Jinn-Tsair & Min, Jie & Pan, Qinhua, 2012. "Economic order quantity model with trade credit financing for non-decreasing demand," Omega, Elsevier, vol. 40(3), pages 328-335.
    9. Chen, Liang-Hsuan & Kang, Fu-Sen, 2010. "Coordination between vendor and buyer considering trade credit and items of imperfect quality," International Journal of Production Economics, Elsevier, vol. 123(1), pages 52-61, January.
    10. 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.
    11. 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.
    12. Chiu, Yuan-Shyi Peter & Huang, Chao-Chih & Wu, Mei-Fang & Chang, Huei-Hsin, 2013. "Joint determination of rotation cycle time and number of shipments for a multi-item EPQ model with random defective rate," Economic Modelling, Elsevier, vol. 35(C), pages 112-117.
    13. 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.
    14. 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.
    15. Wee, Hui Ming & Widyadana, Gede Agus, 2013. "A production model for deteriorating items with stochastic preventive maintenance time and rework process with FIFO rule," Omega, Elsevier, vol. 41(6), pages 941-954.
    16. 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.
    17. 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.
    18. Yang, P.C. & Wee, H.M. & Liu, B.S. & Fong, O.K., 2011. "Mitigating Hi-tech products risks due to rapid technological innovation," Omega, Elsevier, vol. 39(4), pages 456-463, August.
    19. Pentico, David W. & Drake, Matthew J. & Toews, Carl, 2009. "The deterministic EPQ with partial backordering: A new approach," Omega, Elsevier, vol. 37(3), pages 624-636, June.
    20. Dhouib, K. & Gharbi, A. & Ben Aziza, M.N., 2012. "Joint optimal production control/preventive maintenance policy for imperfect process manufacturing cell," International Journal of Production Economics, Elsevier, vol. 137(1), pages 126-136.
    21. 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.
    22. Yao, Ming-Jong & Chu, Weng-Ming, 2008. "A genetic algorithm for determining optimal replenishment cycles to minimize maximum warehouse space requirements," Omega, Elsevier, vol. 36(4), pages 619-631, August.


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