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The main purpose of this paper wants to investigate the optimal retailer's lot-sizing policy with     two warehouses under partially permissible delay in payments within the economic order quantity (EOQ) framework. In this paper,     we want to extend that fully permissible delay in payments to the supplier would offer the retailer     partially permissible delay in payments. That is, the retailer must make a partial payment to the supplier     when the order is received. Then the retailer must pay off the remaining balance at the end of the     permissible delay period. In addition, we want to add the assumption that the retailer's storage     space is limited. That is, the retailer will rent the warehouse to store these exceeding items when     the order quantity is larger than retailer's storage space. Under these conditions,     we model the retailer's inventory system as a cost minimization problem to determine the retailer'soptimal cycle time and optimal order quantity. Three theorems are developed to efficiently determine the optimal replenishment policy for the retailer. Finally, numerical examples are given to illustrate these theorems and obtained a lot of managerial insights

Retailer's EOQ Model with Limited Storage Space Under Partially Permissible Delay in Payments