Coordinated Pricing and Base-Stock Policies for an Item with Price and Stock-Dependent Demand Subject to Decay and Fixed Lifetime

價格與存貨相依需求下固定生命時限損壞性商品定價與基本存量協同決策

10.29977/JCIIE.200907.0004

陳亮都(Liang-Tu Chen)；簡美珍(Mei-Chen Chien)

先進先出 ； 定價 ； 基本存量 ； 損壞性商品 ； 固定生命時限 ； fist in first out ； pricing ； base-stock ； decay ； fixed lifetime

工業工程學刊

26卷4期（2009 / 07 / 01）

266 - 275

英文

本研究考量在價格與存貨相依需求下，銷售固定架位生命時限損壞性商品之零售商定價與訂購決策。我們假設零售商採用基本存量補貨與先進先出政策，模式中同時考量固定生命時限商品之損壞性效果與零售價格，比先前研究文獻更具一般性與通用性。本研究模式主要目標乃在無限規劃水平下，聯合決定最適銷售價格、基本存量水準與補貨時程，以使零售商單位淨利潤最大化。我們運用多變數最佳化模式與迭代法數量方法求解利潤最大化問題。經由詳細數值分析可得知，定價策略對利潤提升可提供顯著有效之幫助。

We consider a firm who sells a perishable item that is subject to effects of decay and fixed shelf lifetime, facing a price and stock-level dependent demand rate. We assume the firm adopts the base-stock replenishment and the first-in-first-out issuing policies. Our model is a generalized version of the previous work by considering the retail price as a decision variable and taking into account the effect of decay. The objective of the model is to jointly determine the optimal selling price, base-stock level, and inventory cycle over an infinite planning horizon so that the net profit per time unit is maximized. The profit-maximizing problem is formulated as a multivariate optimization model, solved by an iterative search process combined with an enumeration scheme. An intensive numerical study shows that the pricing scheme can be an effective mechanism in profit improvement.

1. Chen, L. T.,J. M. Chen(2008).Collaborative marketing and production planning with IFS and SFI production styles in an ERP system.Journal of the Chinese Institute of Industrial Engineers,25,337-346.
   連結：
2. Balakrishnan, A.,M. S. Pangburn,E. Stavrulaki(2004).''Stack them high, let 'em fly'': lot-sizing policies when inventories stimulate demand.Management Science,50,630-644.
3. Boyd, E. A.,I. C. Bilegan(2003).Revenue management and e-commerce.Management Science,49,1363-1386.
4. Chen, J. M.,L. T. Chen(2004).Pricing and lot-sizing for a deteriorating item in a periodic review inventory system with shortages.Journal of the Operational Research Society,55,892-901.
5. Working paper
6. Chen, J. M.,L. T. Chen(2007).Periodic pricing and replenishment policy for continuously decaying inventory with multivariate demand.Applied Mathematical Modelling,31,1819-1828.
7. Chevalier, M.(1975).Increase in sales due to in-store display.Journal of Marketing Research,12,426-431.
8. Dolan, R. J.,H. Simon(1996).Power Pricing: How Managing Price Transforms the Bottom Line.NY:Simon & Schuster.
9. Elmaghraby, W.,P. Keskinocak(2003).Dynamic pricing in the presence of inventory considerations: research overview, current practices, and future directions.Management Science,49,1287-1309.
10. Friend, S. C.,P. H. Walker(2001).Welcome to the new world of merchandising.Harvard Business Review,November,133-141.
11. Günther, H. O.(eds),D. C. Mattfeld(eds),L. Suhl (eds)(2005).Supply Chain Management and Logistic: Optimierung, Simulation, Decision Support.German:Physica-Verlag Heidelberg.
12. Hwang, H.,K. H. Hahn(2000).An optimal procurement policy for items with an inventory-level-dependent demand rate and fixed lifetime.European Journal of Operational Research,127,537-545.
13. Liao, J. J.(2007).On an EPQ model for deteriorating items under permissible delay in payments.Applied Mathematical Modelling,31,393-403.
14. Lütke Entrup, M.,H. O. Günther,P. Van Beek,M. Grunow,T. Seiler(2005).Mixed-integer linear programming approaches to shelf life integrated planning and scheduling in yogurt production.International Journal of Production Research,43,5071-5100.
15. Mantrala, M. K.,S. Rao(2001).A decision-support system that helps retailers decide order quantities and markdowns for fashion goods.Interfaces,31,146-165.
16. Marn, M. V.,R. L. Rosiello(1992).Managing price, gaining profits.Harvard Business Review,September,84-94.
17. Nahmias, S.(1982).Perishable inventory theory: a review.Operations Research,30,680-708.
18. Perry, D.,M. J. M. Posner(1998).An (S-1, S) inventory system with fixed shelf life and constant lead times.Operations Research,46,65-71.
19. Raafat, F.(1991).Survey of literature on continuously deteriorating inventory models.Journal of the Operational Research Society,42,27-37.
20. Rajan, A.,S. Rakesh,S. Richard(1992).Dynamic pricing and ordering decisions by a monopolist.Management Science,38,240-262.
21. Sodhi, M. S.,N. C. Sodhi(2005).Six sigma pricing.Harvard Business Review,May,135-142.
22. Stadtler, H.(2005).Supply chain management and advanced planning-basics, overview and challenges.European Journal of Operational Research,163,575-588.
23. Urban, T. L.(2005).Inventory models with inventory-level-dependent demand: a comprehensive review and unifying theory.European Journal of Operational Research,162,792-804.
24. Simply irresistible-effective retail store layout|includes sources for more information
25. Yang, P. C.(2004).Pricing strategy for deteriorating items using quantity discount when demand is price sensitive.European Journal of Operational Research,157,389-397.
26. Young, S. T.,W. D. Nie(1992).A cycle-count model considering inventory policy and record variance.Production and Inventory Management,33,11-16.
27. Zhou, Y. W.,S. L. Yang(2003).An optimal replenishment policy for items with an inventory-level-dependent demand rate and fixed lifetime under the LIFO policy.Journal of the Operational Research Society,54,585-593.

1. Liang-Tu Chen,Jen-Ming Chen,Ben Wang(2011).Pricing and Order-Up-To Decisions for a Perishable Itemwith Price and Stock-Dependent Demand under LIFO Policy.International Journal of Information and Management Sciences,22(4),377-394.