An EPQ-based inventory model for exponentially deteriorating items under retailer partial trade credit policy in supply chain

The main purpose of this paper is to investigate the optimal retailer's replenishment decisions for deteriorating items under two levels of trade credit policy to reflect supply chain management situation within the economic production quantity (EPQ) framework. In this paper, it is assumed that the retailer maintains a powerful decision-making right and can obtain the full trade credit offered by the supplier yet retailer just offers the partial trade credit to his/her customers. Under these conditions, the retailer can obtain the most benefits. Then, we model the retailer's inventory system as a cost minimization problem to determine the retailer's optimal replenishment decisions under the supply chain management. Some easy-to-use theorems are developed to efficiently determine the optimal replenishment decisions for the retailer. We deduce some previously published results of other researchers as special cases. Finally, numerical examples are given to illustrate the theorems obtained in this paper. Then, as well as, we obtain a lot of managerial phenomena from numerical examples.

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

[2]  Yung-Fu Huang,et al.  AN EOQ MODEL UNDER RETAILER PARTIAL TRADE CREDIT POLICY IN SUPPLY CHAIN , 2008 .

[3]  Liang-Yuh Ouyang,et al.  Production , Manufacturing and Logistics Optimal pricing , shipment and payment policy for an integrated supplier – buyer inventory model with two-part trade credit , 2007 .

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

[5]  Kun-Jen Chung,et al.  The optimal inventory policies under permissible delay in payments depending on the ordering quantity , 2005 .

[6]  Yong-Wu Zhou,et al.  An inventory model for deteriorating items under stock-dependent demand and two-level trade credit , 2010 .

[7]  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..

[8]  Y.-F. Huang,et al.  Optimal retailer's ordering policies in the EOQ model under trade credit financing , 2003, J. Oper. Res. Soc..

[9]  Chun-Tao Chang An EOQ model with deteriorating items under inflation when supplier credits linked to order quantity , 2004 .

[10]  Kun-Jen Chung,et al.  THE OPTIMAL ORDERING POLICY IN A DCF ANALYSIS FOR DETERIORATING ITEMS WHEN TRADE CREDIT DEPENDS ON THE ORDER QUANTITY , 2006 .

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

[12]  Hark Hwang,et al.  Optimal pricing and ordering policies for retailers under order-size-dependent delay in payments , 2003, Comput. Oper. Res..

[13]  Hark Hwang,et al.  Joint price and lot size determination under conditions of permissible delay in payments and quantity discounts for freight cost , 1996 .

[14]  Nita H. Shah,et al.  A discrete-in-time probabilistic inventory model for deteriorating items under conditions of permissible delay in payments , 1998, Int. J. Syst. Sci..

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

[16]  Yung-Fu Huang,et al.  Optimal retailer's replenishment decisions in the EPQ model under two levels of trade credit policy , 2007, Eur. J. Oper. Res..

[17]  Jinn-Tsair Teng,et al.  Optimal manufacturer's replenishment policies in the EPQ model under two levels of trade credit policy , 2009, Eur. J. Oper. Res..

[18]  Nita H. Shah,et al.  Retailer's pricing, credit and inventory policies for deteriorating items in response to temporary price/credit incentives , 2003 .

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

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

[21]  S. Goyal,et al.  Optimal pricing and ordering policy under permissible delay in payments , 2005 .

[22]  Victor B. Kreng,et al.  The optimal replenishment decisions under two levels of trade credit policy depending on the order quantity , 2010, Expert Syst. Appl..

[23]  Kun-Jen Chung,et al.  The optimal retailer's ordering policies for deteriorating items with limited storage capacity under trade credit financing , 2007 .

[24]  Yung-Fu Huang An inventory model under two levels of trade credit and limited storage space derived without derivatives , 2006 .

[25]  Kun-Jen Chung,et al.  The optimal cycle time for EPQ inventory model under permissible delay in payments , 2003 .

[26]  C. Jaggi,et al.  A joint approach for setting unit price and the length of the credit period for a seller when end demand is price sensitive , 2003 .

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

[28]  Adrijit Goswami,et al.  An EOQ model for deteriorating items under trade credit financing in the fuzzy sense , 2007 .

[29]  Jui‐Jung Liao An EOQ model with noninstantaneous receipt and exponentially deteriorating items under two-level trade credit , 2008 .

[30]  Yu-Chung Tsao Retailer's optimal ordering and discounting policies under advance sales discount and trade credits , 2009, Comput. Ind. Eng..

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

[32]  Jinn-Tsair Teng,et al.  On the economic order quantity under conditions of permissible delay in payments , 2002, J. Oper. Res. Soc..

[33]  Yung-Fu Huang,et al.  Economic order quantity under conditionally permissible delay in payments , 2007, Eur. J. Oper. Res..

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

[35]  L. Ouyang,et al.  AN EOQ MODEL FOR DETERIORATING ITEMS UNDER SUPPLIER CREDITS LINKED TO ORDERING QUANTITY , 2003 .

[36]  Adrijit Goswami,et al.  Production lot-size model with fuzzy production rate and fuzzy demand rate for deteriorating item under permissible delay in payments , 2006 .

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

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

[39]  Yung-Fu Huang,et al.  Optimal retailer's replenishment policy for the EPQ model under the supplier's trade credit policy , 2004 .

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

[41]  Kun-Jen Chung,et al.  Lot-sizing decisions under trade credit depending on the ordering quantity , 2004, Comput. Oper. Res..

[42]  N. E. Abboud,et al.  Continuous review inventory model with delay in payments , 2003 .

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