Ouyang et al. (2009) consider an economic order quantity (EOQ) model for deteriorating items with a partially permissible delay in payments linked to order quantity. Basically, their inventory model is practical, but there are some defects from the logical viewpoints of mathematics. In this paper, the functional behaviors of the annual total relevant costs are explored by rigorous methods of mathematics. A complete solution procedure is also developed to make up for the shortcomings of Ouyang et al. (2009). In numerical examples, it is proved that the new solution procedure could avoid making wrong decisions and causing cost penalties. 
Comments on the EOQ model for deteriorating items with conditional trade credit linked to order quantity in the supply chain management