Economic order quantity under advance payment

Abstract Though advance payment is widely used in practice, its influences on buyer’s inventory policy are rarely discussed. This paper investigates the buyer’s inventory policy under advance payment, including all payment in advance and partial-advanced–partial-delayed payment. The buyer’s ordering policy is derived by minimizing his total inventory costs including inventory holding cost, ordering cost, and interest cost caused by advance payment or delayed payment. The conclusions show that when all the payment is paid in advance, the buyer’s optimal replenishment cycle is influenced only by the price discount associated with advance payment, and the length of advance payment has no effect. For the partial-advanced–partial-delayed payment case, the buyer’s replenishment cycle is also not influenced by the length of advance period. However, in this situation, the delayed period and the price discount may have impacts on the inventory policy. We also use discounted cash flow (DCF) model to derive the buyer’s replenishment cycle and show that the replenishment cycle is negatively related to the length of advance period. Numerical examples are presented to illustrate the results.

[1]  M. Rosen,et al.  Entropic order quantity (EnOQ) model for deteriorating items , 2009 .

[2]  Jinn-Tsair Teng,et al.  Optimal ordering policies when the supplier provides a progressive interest scheme , 2007, Eur. J. Oper. Res..

[3]  A. Thangam.  Optimal price discounting and lot-sizing policies for perishable items in a supply chain under advance payment scheme and two-echelon trade credits , 2012 .

[4]  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..

[5]  Jinn-Tsair Teng,et al.  A comprehensive note on: An inventory model under two levels of trade credit and limited storage space derived without derivatives , 2009 .

[6]  Jui-Jung Liao,et al.  The optimal ordering policy of the EOQ model under trade credit depending on the ordering quantity from the DCF approach , 2009, Eur. J. Oper. Res..

[7]  Jui-Jung Liao,et al.  Lot-sizing decisions for deteriorating items with two warehouses under an order-size-dependent trade credit , 2012 .

[8]  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 .

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

[10]  L. Ouyang,et al.  Optimal strategy for the integrated vendor-buyer inventory model with adjustable production rate and trade credit , 2005 .

[11]  Kee H. Chung.  Inventory Control and Trade Credit Revisited , 1989 .

[12]  Mohamad Y. Jaber,et al.  Lot sizing with permissible delay in payments and entropy cost , 2007, Comput. Ind. Eng..

[13]  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 .

[14]  M. A. Rosen,et al.  Price-driven economic order systems from a thermodynamic point of view , 2004 .

[15]  Abubakar Musa,et al.  Inventory ordering policies of delayed deteriorating items under permissible delay in payments , 2012 .

[16]  D. W. Pentico,et al.  An EOQ model with partial delayed payment and partial backordering , 2013 .

[17]  J. Teng,et al.  Economic order quantity model with trade credit financing for non-decreasing demand , 2012 .

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

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

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

[21]  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..

[22]  Chi Kin Chan,et al.  A delayed payment method in co-ordinating a single-vendor multi-buyer supply chain , 2010 .

[23]  Manoranjan Maiti,et al.  Inventory model with stochastic lead-time and price dependent demand incorporating advance payment , 2009 .

[24]  K. S. Chaudhuri,et al.  A deterministic EOQ model with delays in payments and price-discount offers , 2008, Eur. J. Oper. Res..

[25]  Mohamad Y. Jaber,et al.  Coordinating a two-level supply chain with delay in payments and profit sharing , 2006, Comput. Ind. Eng..

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

[27]  S. K. Goyal,et al.  An application of Genetic Algorithm in solving an inventory model with advance payment and interval valued inventory costs , 2009, Math. Comput. Model..

[28]  Jinn-Tsair Teng,et al.  An economic order quantity model for deteriorating items with partially permissible delay in payments linked to order quantity , 2009, Eur. J. Oper. Res..

[29]  Jinn-Tsair Teng,et al.  Optimal ordering policies for deteriorating items using a discounted cash-flow analysis when a trade credit is linked to order quantity , 2010, Comput. Ind. Eng..

[30]  S. Mondal,et al.  Inventory policy for an item with inflation induced purchasing price, selling price and demand with immediate part payment , 2013 .

[31]  J. Teng.  Discount Cash-Flow Analysis on Inventory Control under Various Supplier's Trade Credits , 2006 .

[32]  A. Thangam,et al.  Two-echelon trade credit financing for perishable items in a supply chain when demand depends on both selling price and credit period , 2009, Comput. Ind. Eng..

[33]  Jianwen Luo,et al.  Buyer–vendor inventory coordination with credit period incentives , 2007 .

[34]  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 .

[35]  Nita H. Shah,et al.  Retailer's response to special sales: price discount vs. trade credit , 2001 .