In this paper, we extend the inventory lot-size model introduced in Ghosh and Chaudhuri (2006) to allow for partial backlogging. In addition, we also relax their assumptions of equal replenishment cycles and constant shortage lengths. For any given number of replenishment cycles, we show that...

In a recent paper, Soni and Shah (2008) presented an inventory model with a stock-dependent demand under progressive payment scheme, assuming zero ending-inventory and adopting a cost-minimization objective. However, with a stock-dependent demand a non-zero ending stock may increase profits...

To increase sales and reduce default risks, a supplier may offer its retailers either: 1) a cash discount; 2) a fixed credit period M if the order quantity is greater than or equal to a predetermined quantity W. Likewise, a retailer in turn offers its customers a credit period N, which has a...