Determining the optimal lot size for the finite production model with random defective rate, the rework process, and backlogging

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Economic order quantity model for items with imperfect quality with learning in inspection (2010, background): “Chiu (2003) studied a manufacturing setting that produces defective items that are either scrap or repairable.”
Optimal production lot with imperfect production process under permissible delay in payments and complete backlogging (2013, background): “Numerous studies on the problems of EPQ model with rework process have been discussed by Liu and Yang (1996), Hayek and Salameh (2001), Chiu (2003, 2008), Chiu et al. (2004, 2010), Jamal et al. (2004), Chiu and Chiu (2006), Taleizadeh et al. (2010) and their references.”
An economic order quantity model with defective items and shortages (2007, methodology): “Chiu (2003) extended Hayek and Salameh’s (2001) model by combining the assumptions of a portion of the defective items are reworked to make them goodquality item instead of reworking on all of the defective items and the remaining items are sold on a sale price.”