Integrated inventory model with quantity discount and price-sensitive demand

Quantity discount has been a subject of study for a long time; however, little is known about its effect on integrated inventory models when price-sensitive demand is placed. The objective of this study is to find the optimal pricing and ordering strategies for an integrated inventory system when a quantity discount policy is applied. The pricing strategy discussed here is one in which the vendor offers a quantity discount to the buyer. Then, the buyer will adjust his retail price based on the purchasing cost, which will influence the customer demand as a result. Consequently, an integrated inventory model is established to find the optimal solutions for order quantity, retail price, and the number of shipments from vendor to buyer in one production run, so that the joint total profit incurred has the maximum value. Also, numerical examples and a sensitivity analysis are given to illustrate the results of the model.

[1]  Arthur F. Veinott,et al.  Analysis of Inventory Systems , 1963 .

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

[3]  James P. Monahan.  A Quantity Discount Pricing Model to Increase Vendor Profits , 1984 .

[4]  M. J. Rosenblatt,et al.  A generalized quantity discount pricing model to increase supplier's profits , 1986 .

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

[6]  R. Dolan.  Quantity Discounts: Managerial Issues and Research Opportunities , 1987 .

[7]  Prafulla Joglekar.  Note-Comments on A Quantity Discount Pricing Model to Increase Vendor Profits , 1988 .

[8]  S. Goyal.  “A JOINT ECONOMIC‐LOT‐SIZE MODEL FOR PURCHASER AND VENDOR”: A COMMENT* , 1988 .

[9]  Richard T. Wong,et al.  General models for the supplier's all-unit quantity discount policy , 1993 .

[10]  M. Parlar,et al.  DISCOUNTING DECISIONS IN A SUPPLIER-BUYER RELATIONSHIP WITH A LINEAR BUYER'S DEMAND , 1994 .

[11]  Zhimin Huang,et al.  Managing buyer-seller system cooperation with quantity discount considerations , 1995, Comput. Oper. Res..

[12]  Z. Kevin Weng,et al.  Modeling quantity discounts under general price-sensitive demand functions: Optimal policies and relationships , 1995 .

[13]  Ömer Kirca,et al.  The coordinated replenishment dynamic lot-sizing problem with quantity discounts , 1996 .

[14]  Ilkyeong Moon,et al.  A note on lead time and distributional assumptions in continuous review inventory models , 1998, Comput. Oper. Res..

[15]  Mohamed Ben-Daya,et al.  Some stochastic inventory models with deterministic variable lead time , 1999, Eur. J. Oper. Res..

[16]  Christian Hofmann,et al.  Supplier's pricing policy in a Just-in-Time environment , 2000, Comput. Oper. Res..

[17]  C. Corbett,et al.  A Supplier's Optimal Quantity Discount Policy Under Asymmetric Information , 2000 .

[18]  Meir J. Rosenblatt,et al.  Coordinating a three-level supply chain with quantity discounts , 2001 .

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

[20]  S. Viswanathan,et al.  Discount pricing decisions in distribution channels with price-sensitive demand , 2003, Eur. J. Oper. Res..

[21]  P. Nielsen,et al.  A comment , 2004, Scandinavian journal of gastroenterology.

[22]  P. C. Yang,et al.  Production , Manufacturing and Logistics Pricing strategy for deteriorating items using quantity discount when demand is price sensitive , 2004 .

[23]  Thomas S. Shively,et al.  A Choice Model for Packaged Goods: Dealing with Discrete Quantities and Quantity Discounts , 2004 .

[24]  Liang-Yuh Ouyang,et al.  Integrated vendor-buyer cooperative inventory models with controllable lead time and ordering cost reduction , 2006, Eur. J. Oper. Res..

[25]  Liwen Liu,et al.  Supply chain coordination with quantity discount policy , 2006 .

[26]  Yu-Jen Lin,et al.  Effective investment to reduce lost-sales rate in a periodic review inventory model , 2007, OR Spectr..

[27]  Jung-Fa Tsai,et al.  An optimization approach for supply chain management models with quantity discount policy , 2007, Eur. J. Oper. Res..

[28]  Chonghui Guo,et al.  Channel coordination and volume discounts with price-sensitive demand , 2007 .

[29]  Yu-Chung Tsao,et al.  Channel coordination, trade credit and quantity discounts for freight cost , 2007 .

[30]  Yu-Jen Lin,et al.  Minimax distribution free procedure with backorder price discount , 2008 .

[31]  Asoo J. Vakharia,et al.  Heuristics for sourcing from multiple suppliers with alternative quantity discounts , 2008, Eur. J. Oper. Res..

[32]  M. J. Rosenblatt,et al.  THEORIES AND REALITIES OF QUANTITY DISCOUNTS: AN EXPLORATORY STUDY * , 2009 .