Optimal retailer's ordering policies in the EOQ model under trade credit financing

The main purpose of this note is to modify the assumption of the trade credit policy in previously published results to reflect the real-life situations. All previously published models implicitly assumed that the supplier would offer the retailer a delay period, but the retailer would not offer the trade credit period to his/her customer. In most business transactions, this assumption is debatable. In this note, we assume that the retailer also adopts the trade credit policy to stimulate his/her customer demand to develop the retailer's replenishment model. Furthermore, we assume that the retailer's trade credit period offered by supplier M is not shorter than the customer's trade credit period offered by retailer N(M⩾N). Under these conditions, we model the retailer's inventory system as a cost minimization problem to determine the retailer's optimal ordering policies. Then a theorem is developed to determine efficiently the optimal ordering policies for the retailer. We deduce some previously published results of other researchers as special cases. Finally, numerical examples are given to illustrate the theorem obtained in this note.

[1]  S. Goyal Economic Order Quantity under Conditions of Permissible Delay in Payments , 1985 .

[2]  O. Coskunoglu,et al.  A New Logit Model for Decision Making and its Application , 1985 .

[3]  Terry Williams,et al.  Letters and Viewpoints , 1985 .

[4]  James E. Ward,et al.  A Note on “Economic Order Quantity under Conditions of Permissible Delay in Payments” , 1987 .

[5]  Philip M. Wolfe,et al.  An inventory model for deteriorating items , 1991 .

[6]  Nita H. Shah,et al.  A lot-size model for exponentially decaying inventory when delay in payments is permissible , 1993 .

[7]  Jun-Sik Kim,et al.  An optimal credit policy to increase supplier's profits with price dependent demand functions , 1994 .

[8]  S. Aggarwal,et al.  Ordering Policies of Deteriorating Items under Permissible Delay in Payments , 1995 .

[9]  A. Mehrez,et al.  Optimal inventory policy under different supplier credit policies , 1996 .

[10]  Hark Hwang,et al.  Retailer's pricing and lot sizing policy for exponentially deteriorating products under the condition of permissible delay in payments , 1997, Comput. Oper. Res..

[11]  B. Sarker,et al.  An ordering policy for deteriorating items with allowable shortage and permissible delay in payment , 1997 .

[12]  Peter Chu,et al.  Economic order quantity of deteriorating items under permissible delay in payments , 1998, Comput. Oper. Res..

[13]  Kun-Jen Chung A theorem on the determination of economic order quantity under conditions of permissible delay in payments , 1998, Comput. Oper. Res..

[14]  Kun-Jen Chung Economic order quantity model when delay in payments is permissible , 1998 .

[15]  Hung-Chang Liao,et al.  An inventory model with deteriorating items under inflation when a delay in payment is permissible , 2000 .

[16]  Kun-Jen Chung The Inventory Replenishment Policy for Deteriorating Items Under Permissible Delay in Payments , 2000 .

[17]  Shaojun Wang,et al.  Supply chain models for perishable products under inflation and permissible delay in payment , 2000, Comput. Oper. Res..

[18]  B. Sarker,et al.  Optimal payment time for a retailer under permitted delay of payment by the wholesaler , 2000 .

[19]  Bhaba R. Sarker,et al.  Optimal payment time under permissible delay in payment for products with deterioration , 2000 .

[20]  Kun-Jen Chung,et al.  THE OPTIMAL CYCLE TIME FOR EXPONENTIALLY DETERIORATING PRODUCTS UNDER TRADE CREDIT FINANCING , 2001 .

[21]  Horng-Jinh Chang,et al.  An inventory model for deteriorating items with linear trend demand under the condition of permissible delay in payments , 2001 .

[22]  Horng-Jinh Chang,et al.  An inventory model for deteriorating items with partial backlogging and permissible delay in payments , 2001, Int. J. Syst. Sci..

[23]  A. Shawky,et al.  Constrained production lot-size model with trade-credit policy: 'A comparison geometric programming approach via Lagrange' , 2001 .