In this paper, a two warehouses inventory model with stock-dependent demand has been studied. In case there is limited capacity of the owned warehouse (OW), another warehouse is used named rented warehouse (RW) for large ordered quantity. The deterioration rate of inventory items is different in both the warehouses. In the case of OW, we allow for shortages and consider the time dependent backlogging rate. To achieve the optimal ordered quantity and the optimal interval for the total inventory cost, a solution procedure is established and it concludes the developed model with further extended environments.