Coordinated Lot-sizing and Dynamic Pricing under a Supplier All-units Quantity Discount

We consider an economic order quantity model where the supplier offers an all-units quantity discount and a price sensitive customer demand. We compare a decentralized decision framework where selling price and replenishment policy are determined independently to simultaneous decision making. Constant and dynamic pricing are distinguished. We derive structural properties and develop algorithms that determine the optimal pricing and replenishment policy and show how quantity discounts not only influence the purchasing strategy but also the pricing policy. A sensitivity analysis indicates the impact of the fixed-holding cost ratio, the discount policy, and the customers’ price sensitivity on the optimal decisions.

[1]  P. Abad.  Joint Price and Lot-Size Determination When Supplier Offers Incremental Quantity Discounts , 1988 .

[2]  Omprakash K. Gupta.  An Improved Procedure for Economic Order Quantity with All‐unit Price Discounts , 1988 .

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

[4]  Dinesh S. Dave,et al.  An Inventory Model with Planned Shortages and Price Dependent Demand , 1991 .

[5]  Prakash L. Abad,et al.  Determining Optimal Selling Price and Lot Size When the Supplier Offers All‐Unit Quantity Discounts* , 1988 .

[6]  Rakesh,et al.  Dynamic Pricing and Ordering Decisions by a Monopolist , 1992 .

[7]  S. Neslin,et al.  The effects of retailer and consumer response on optimal manufacturer advertising and trade promotion strategies , 1995 .

[8]  Stefan Minner,et al.  The impact of dynamic pricing on the economic order decision , 2009, Eur. J. Oper. Res..

[9]  Prakash L. Abad.  Optimal Policy for a Reseller When the Supplier Offers a Temporary Reduction in Price , 1997 .

[10]  T. M. Whitin.  Inventory Control and Price Theory , 1955 .

[11]  J. Eliashberg,et al.  Marketing-production joint decision-making , 1993 .

[12]  Serguei Netessine,et al.  Dynamic pricing of inventory/capacity with infrequent price changes , 2006, Eur. J. Oper. Res..

[13]  Qinan Wang,et al.  Discount Pricing Policies and the Coordination of Decentralized Distribution Systems , 2005, Decis. Sci..

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

[15]  D. Simchi-Levi,et al.  Coordination of Pricing and Inventory Decisions: A Survey and Classification , 2004 .

[16]  W. C. Benton,et al.  A Generalized Framework for Quantity Discount Pricing Schedules , 2003, Decis. Sci..

[17]  W. C. Benton,et al.  A classification of literature on determining the lot size under quantity discounts , 1996 .

[18]  Z. K. Weng,et al.  Channel coordination and quantity discounts , 1995 .

[19]  P. J. Kuzdrall,et al.  Price Quantity Discounts: Some Implications for Buyers and Sellers , 1987 .

[20]  ElmaghrabyWedad,et al.  Dynamic Pricing in the Presence of Inventory Considerations , 2003 .

[21]  Pinar Keskinocak,et al.  Dynamic pricing in the presence of inventory considerations: research overview, current practices, and future directions , 2003, IEEE Engineering Management Review.

[22]  David F. Pyke,et al.  Smart Pricing: Linking Pricing Decisions with Operational Insights , 2003 .

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

[24]  William Beranek,et al.  Financial Implications of Lot-Size Inventory Models , 1967 .

[25]  Sanjoy Ghose,et al.  Quality as the Interface Between Manufacturing and Marketing: A Conceptual Model and An Empirical Study , 1993 .

[26]  Amrita Nain,et al.  Stock Market Valuation and Mergers , 2003 .