For a finite planning horizon, there has been a considerable body of research papers in the area of operations management that dealt with four different inventory shortage models in the last two decades. In this paper, we establish the models to reflect the fact that the longer the waiting time,...

In this paper, we extend Teng, J.T., Chang, H.J., Dye, C.Y., Hung, C.H. [2002. An optimal replenishment policy for deteriorating items with time-varying demand and partial backlogging. Operations Research Letters 30(6), 387-393.] and Hou, K.L. [2006. An inventory model for deteriorating items...

In this paper, the traditional inventory lot-size model is extended to allow not only for general partial backlogging rate but also for inflation. The assumptions of equal cycle length and constant shortage length imposed in the model developed by Moon et al. [Moon, I., Giri, B.C., Ko, B., 2005....

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 practice, vendors (or sellers) often offer their buyers a fixed credit period to settle the account. The benefits of trade credit are not only to attract new buyers but also to avoid lasting price competition. On the other hand, the policy of granting a permissible delay adds not only an...

In the traditional inventory economic order quantity (or EOQ) model, it was assumed that the customer must pay for the items as soon as the items are received. However, in practices, the supplier frequently offers a cash discount and/or a permissible delay to the customer especially when the...

In the traditional inventory economic order quantity (or EOQ) model, it was assumed that the customer must pay for the items as soon as the items are received. However, in practices, the supplier frequently offers a cash discount and/or a permissible delay to the customer especially when the...

Since the publication of the Goyal model in 1985, research on the modeling of inventory lot-size under trade credits has resulted in a body of literature. In this paper, we present a review of the advances in inventory literature under conditions of permissible delay in payments since 1985. We...