In particular, Maddah and Jaber (2008) rectify a flow in Salameh and Jaber’s model by properly applying renewal theory, while Maddah et al. (2010b), motivated by the concerns of Papachristos and Konstantaras (2006), propose an order overlapping scheme aimed at overcoming shortages during screening. In another related work, Maddah et al. (2009) incorporate a demand and cost structure for imperfect quality items.