An Economic Order Quantity Model for Flawed Units With Quality Screening and Time Dependent Backlogging
Abstract
This study introduces an Economic Order Quantity (EOQ) model that addresses inventory systems dealing with imperfect quality items, incorporating both quality screening processes and time-dependent backlogging. Recognizing that a proportion of received items may be defective, the model integrates a screening mechanism to identify and separate flawed units before they reach customers. Additionally, the model considers a backlogging scenario where unmet demand is partially backordered, with the backlogging rate being a function of the waiting time until the next replenishment. The objective is to determine the optimal order quantity and backordering level that minimize the total cost, which includes ordering, holding, screening, backordering and shortage costs. Analytical solutions are derived and numerical examples are provided to illustrate the model's applicability. Sensitivity analyses are conducted to examine the impact of key parameters on the optimal solution.
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References
J. Chandra K and M. Mittal, “Economic order quantity model for deteriorating items with imperfect quality,” Revista Investigation operational, vol. 32, no. 1, pp. 107–113, 2011. https://www.researchgate.net/publication/228457961_Economic_order_quantity_model_for_deteriorating_items_with_imperfect_quality.
R. J. and S. N., “Economic order quantity and purchasing price for items with imperfect quality when inspection shifts from buyer to supplier,” Int. J. Prod. Econ., vol. 137, no. 1, pp. 11–18, 2012. https://doi.org/10.1016/j.ijpe.2012.01.005.
Z. S. Jaber M.Y. and Z. L.E., “An entropic economic order quantity (en eoq) for items with imperfect quality,” Appl. Math. Model., vol. 37, no. 1, pp. 3982–3992, 2013. https://doi.org/10.1016/j.apm.2012.07.046.
S. M. and J. M., “Economic production quantity model for items with imperfect quality,” Int. J. Prod. Econ., vol. 64, no. 1-3, pp. 59–64, 2000. https://doi.org/10.1016/S0925-5273(99)00044-4.
Z. S. Jaber M.Y. and Z. L.E., “Economic order quantity models for imperfect items with buy and repair options,” Int. J. Prod. Econ., vol. 155, no. 1, pp. 126–131, 2014. https://doi.org/10.1016/j.ijpe.2013.10.014.
W. M. Paul S. and O. P., “Joint replenishment with imperfect items and price discount,” Comput. Ind. Eng., vol. 74, no. 1, p. 179–185, 2014. https://doi.org/10.1016/j.cie.2014.05.015.
P. S. Modak N.M. and S. S.S., “Optimal just-in-time buffer inventory for preventive maintenance with imperfect quality items,” Tekhne, vol. 13, no. 1, p. 135–144, 2015. https://doi.org/10.1016/j.tekhne.2016.02.002.
N.-D. M. Taleizadeh A.A. and T.-M. R., “Pricing and ordering decisions in a supply chain with imperfect quality items and inspection under buyback of defective items,” Int. J. Prod. Res., vol. 53, no. 1, pp. 4553–4582, 2015. https://doi.org/10.1080/00207543.2014.997399.
J. Rezaei, “Economic order quantity and sampling inspection plans for imperfect items,” Comput. Ind. Eng., vol. 96, no. 1, pp. 1–7, 2016. https://doi.org/10.1016/j.cie.2016.03.015.
A. A. A, H. I, and S. A. A, “Efficient inventory control for imperfect quality items,” Eur. J. Oper. Res., vol. 254, no. 1, pp. 92–104, 2016. https://doi.org/10.1016/j.ejor.2016.03.058.
Z. S. Khan M., Jaber M.Y., “Vendor managed inventory with consignment stock agreement for a supply chain with defective items,” Appl. Math. Model., vol. 40, no. 1, pp. 7102–7114, 2016. https://doi.org/10.1016/j.apm.2016.02.035.
L. T.Y. and S. B.R., “A pull system inventory model with carbon tax policies and imperfect quality items,” Appl. Math. Model., vol. 50, no. 1, p. 450–462, 2017. https://doi.org/10.1016/j.apm.2017.06.001.
K. F. Rad M.A. and G. C.H., “Optimal production and distribution policies for a two-stage supply chain with imperfect items and price-and advertisement-sensitive demand: A note,” Appl. Math. Model., vol. 57, no. 1, pp. 625–632, 2018. https://doi.org/10.1016/j.apm.2016.11.003.
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