An integrated inventory model under conditions of order processing cost reduction and permissible delay in payments

This article develops an integrated inventory model to determine the optimal policy under conditions of order processing cost reduction and permissible delay in payments. Both the vendor and the buyer participate in order processing cost reduction by applying information technologies. The order processing cost can be reduced by certain expenditures and will affect lot-size decisions. Simultaneously, the existence of the credit period serves to reduce the cost of holding stock to the buyer, because it reduces the amount of capital invested in stock for the duration of the credit period. The article derives the total cost function and shows that the function possesses some kinds of convexities. A solution procedure is provided to determine the optimal order policy. Finally, numerical examples are presented to illustrate the solution procedure.

[1]  Liang-Hsuan Chen,et al.  Integrated vendor-buyer cooperative inventory models with variant permissible delay in payments , 2007, Eur. J. Oper. Res..

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

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

[4]  Evan L. Porteus.  Investing in Reduced Setups in the EOQ Model , 1985 .

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

[6]  Bhaba R. Sarker,et al.  Cyclic Scheduling for a Multi-product, Single-facility Production System Operating Under a Just-in-time Delivery Policy , 1996 .

[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]  Chao-Kuei Huang.  An integrated vendor-buyer cooperative inventory model for items with imperfect quality , 2002 .

[9]  Douglas J. Thomas,et al.  Coordinated supply chain management , 1996 .

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

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

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

[13]  N. Bryson,et al.  Joint Vendor-buyer Policy in JIT Manufacturing , 1995 .

[14]  S. K. Goyal,et al.  Retailer's optimal replenishment decisions with credit-linked demand under permissible delay in payments , 2008, Eur. J. Oper. Res..

[15]  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 .

[16]  Kun-Jen Chung,et al.  An ordering policy with allowable shortage and permissible delay in payments , 2009 .

[17]  J. Trevino,et al.  A mathematical model for the economic justification of setup time reduction , 1993 .

[18]  J. C. Hayya,et al.  Setup Reduction in the Economic Production Quantity Model , 1992 .

[19]  A. Banerjee.  A JOINT ECONOMIC-LOT-SIZE MODEL FOR PURCHASER AND VENDOR , 1986 .

[20]  Suresh Kumar Goyal,et al.  An integrated inventory model for a single supplier-single customer problem , 1977 .

[21]  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..

[22]  S. Goyal,et al.  Integrated inventory models: The buyer-vendor coordination , 1989 .

[23]  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..

[24]  Seung-Lae Kim,et al.  Implementation of JIT purchasing: An integrated approach , 1997 .

[25]  Jason Chao-Hsien Pan,et al.  A study of an integrated inventory with controllable lead time , 2002 .

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

[27]  Bhaba R. Sarker,et al.  Manufacturing setup cost reduction under variable lead times and finite opportunities for investment , 1997 .

[28]  M. Paknejad,et al.  Setup cost reduction in an inventory model with finite-range stochastic lead times , 1990 .

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

[30]  P. Billington.  The classic economic production quantity model with setup cost as a function of capital expenditure , 1987 .