Economic Order Quantity models have many assumptions that are not satisfied completely with recent economic conditions. One of these assumptions is that all items in an ordered lot are perfect quality. But a portion of ordered lot may be defective. The other unrealistic assumption is that the payments are made as soon as the items received. However, in today’s business transactions it is more common that the supplier will allow certain fixed period known as permissible delay in payment to the retailer for settling the total amount of received goods. In this study, by loosening these two unrealistic assumptions, a new model is proposed in the case of defective items, permissible delay in payments and shortage. For two case of permissible delay, the optimal values are determined. Furthermore, numerical examples are given for the developed model and changes in the optimal values are analyzed with sensitivity analysis. Finally some previously published results are deduced as special cases of proposed model.
• Chung, K. J., & Huang, C.K. (2009). An Ordering Policy with Allowable Shortage and Permissible Delay in Payments. Applied Mathematical Modelling, 33, 2518–2525.
• Chung, K. J., & Huang, Y. F. (2006). Retailer’s Optimal Cycle Times in the EOQ Model with Imperfect Quality and a Permissible Credit Period, Quality and Quantity, 40, s. 59-77.
• Chung, K.J., & Liao, J.J. (2006). The Optimal Ordering Policy in a DCF Analysis for Deteriorating Items under Trade Credit Depending on the Ordering Quantity. International Journal of Production Economics, 100, 116-130.
• Ero?lu, A., & Gültekin, Ö. (2007). An Economic Order Quantity Model with Defective Items and Shortages. International Journal of Production Economics, 106 (2), 544-549.
• Goyal, S.K. (1985). Economic Order Quantity under Conditions of Permissible Delay in Payments. Journal of the Operational Research Society, 36, 35-38.
• Hsu J.T. & Hsu L.F. (2013). An EOQ model with imperfect quality items, inspection errors, shortage backordering, and sales returns. International Journal of Production Economics, 143, 162-170.
• Huang, Y.F., & Chung, K.J. (2003). Optimal Replenishment and Payment Policies in the EOQ Model under Cash Discount and Trade Credit. Asia-Pasific Journal of Operations Research, 20, 177-190.
• Jaggi C.K. , Goel S.K. & Mittal M. (2013). Credit Financing in Economic Ordering Policies for Defective Items with Allowable Shortages. Applied Mathematics and Computation, 219, 5268–5282.
• Liao, J.J. (2008). An Inventory Control System under Deferrable Delivery Conditions. Mathematical and Computer Modelling, 47 (3-4), 247-258.
• Maddah, B., & Jaber, M.Y., (2008). Economic Order Quantity for Items With Imperfect Quality: Revisited. International Journal of Production Economics, 112 (2), 808-815.
• Papachristos, S., & Konstantaras, I. (2006). Economic Ordering Quantity Models for Items With Imperfect Quality. International Journal of Production Economics, 100 (1), 148-156.
• Salameh, M.K., & Jaber, M.Y. (2000). Economic Production Quantity Model for Items with Imperfect Quality. International Journal of Production Economics, 64, 59-64.
• Sana, S.S., & Chaudhuri, K.S. (2008). A Deterministic EOQ Model with Delays in Payments and Price-Discount Offers. European Journal of Operational Research, 184 (2), 509-533.
• Teng, J.T., Chang, C.T., & Goyal, S.K. (2005). Optimal Pricing and Ordering Policy under Permissible Delay in Payments. International Journal of Production Economics, 97 (2), 121-129.
• Wee, H.M., Yu, J., & Chen, M.C. (2007). Optimal Inventory Model for Items With Imperfect Quality and Shortage Backordering. Omega, 35 (1), 7-11.
SULAK, H., EROGLU, A., BAYHAN, M., & AVCI, M. A. (2015). An Economic Order Quantity Model for Defective Items under Permissible Delay in Payments and Shortage. International Journal of Academic Research in Business and Social Sciences, 5(1), 238-248.
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