Dynamic Model and Coordination Strategy of Supply Chain with Sticky Price

Operations Research and Management Science ›› 2013, Vol. 22 ›› Issue (6): 110-116.

• Theory Analysis and Methodology Study • Previous Articles Next Articles

Dynamic Model and Coordination Strategy of Supply Chain with Sticky Price

CHEN Zhao-bo¹, SUN Jia-yi², YAO Feng-min², TENG Chun-xian², MIAO Shi-di³

1. College of Economy and Management, Taiyuan University of Science and Technology, Taiyuan 030024, China;
2. Institute of Systems Engineering, Harbin University of Science and Technology, Harbin 150080, China;
3. Software Institute, Harbin University of Science and Technology, Harbin 150080, China

Received:2012-08-25 Online:2013-12-25

具有价格粘性的供应链动态模型及其协调策略

陈兆波¹, 孙嘉轶², 姚锋敏², 滕春贤², 苗世迪³

1.太原科技大学经济与管理学院,山西太原 030024;
2.哈尔滨理工大学系统工程研究所,黑龙江哈尔滨 150080;
3.哈尔滨理工大学软件学院,黑龙江哈尔滨 150080

作者简介:陈兆波,男,(1983-),四川冕宁人,博士,硕士生导师,研究方向:优化理论,供应链管理。
基金资助:
国家自然科学基金资助项目(71171069,70871031); 黑龙江省教育厅人文社科重点项目(1152g033); 黑龙江省教育厅人文社科项目(12522052); 太原科技大学校博士启动基金项目(W20122001)

Abstract

Abstract: Considering the supply chain composed of a manufacturer and a retailer, this paper uses dynamic games theory to study how the manufacturer and retailer decide the optimal wholesale price and retail price respectively to maximize their own long-term profit under the condition of sticky price. Firstly, the Hamilton-Jacobi -Bellman equation is used to obtain the manufacturer's optimal wholesale price and the retailer's optimal order quantity under Stackelberg game. Secondly, a numerical example is presented to verify the necessity coordination the supply chain system. Finally, a quantity discount contract is used to coordinate the supply chain system, and the effectiveness of coordination is also proofed in this paper.

Key words: sticky price, differential games, supply chain coordination, quantity discount contract

摘要： 本文针对由一个制造商和一个零售商构成的供应链系统,在市场价格具有粘性的情况下,利用动态博弈理论分析了制造商和零售商如何确定其最优的批发价格和产品订购量以实现自身长期利润的最大化。本文首先利用汉密尔顿-雅可比-贝尔曼方程分别求解了供应链系统在Stackelberg博弈下的最优批发价格和最优产品订购数量。然后,利用数值算例说明了该供应链系统协调的必要性。最后,利用数量折扣契约协调了该供应链系统,并证明了协调的有效性。

关键词: 价格粘性, 动态博弈, 供应链协调, 数量折扣契约

CLC Number:

F224
C931.1

CHEN Zhao-bo, SUN Jia-yi, YAO Feng-min, TENG Chun-xian, MIAO Shi-di. Dynamic Model and Coordination Strategy of Supply Chain with Sticky Price[J]. Operations Research and Management Science, 2013, 22(6): 110-116.

陈兆波, 孙嘉轶, 姚锋敏, 滕春贤, 苗世迪. 具有价格粘性的供应链动态模型及其协调策略[J]. 运筹与管理, 2013, 22(6): 110-116.

References

[1] Cachon G P, Zipkin P. Competitive and cooperation inventory policies in a two-stage supply chain[J]. Management Science, 1999, 45(7): 936-953.
[2] Cachon G P. Stock wars: inventory competitive in a two-echelon supply chain with multiple retailers[J]. Operations Research, 2001, 49(5): 658-674.
[3] Gurdal E, Griffin P M. Supplier and buyer driven channels in a two-stage supply chain[J]. IIE Transactions, 2002, 34(8): 691-700.
[4] 索寒生,金以慧.两阶段供需链企业间的博弈分析[J].计算机集成制造系统,2003,9(7):546-550.
[5] 张钦,达庆利,沈厚才.供应链中基于Stackelberg博弈EOQ模型[J].中国管理科学,2002,10(3):38-42.
[6] 常良峰,黄小原,卢震.一类供应链的Stackelberg主从对策问题研究[J].中国管理科学,2002,10(6):48-52.
[7] 常良峰,卢震,黄小原.供应链渠道协调中的Stackelberg主从对策[J].控制与决策,2003,18(6):651-660.
[8] Xiao T J, Yang D Q. Price and service competition of supply chains with risk-averse retailers under demand uncertainty[J]. International Journal of Production Economics, 2008, 114(1): 187-200.
[9] Boyaci T, Gallego G. Supply chain coordination in a market with customer service competition[J]. Production and Operations Management, 2004, 13(1): 3-22.
[10] Ha A Y, Tong S L. Contracting and information sharing under supply chain competition[J]. Management Science, 2008, 54(4): 701-715.
[11] Ha A Y, Tong S L, Zhang H T. Sharing demand information in competing supply chains with production diseconomies[J]. Management Science, 2011, 57(3): 566-581.
[12] Jørgensen S, Sigue S P, Zaccour G. Dynamic cooperative advertising in a channel[J]. Journal of Retailing, 2000, 76 (1): 71-92.
[13] Huang Z M, Li S X. Co-op advertising models in manufacturer-retailer supply chains: A game theory approach[J]. European Journal of Operational Research, 2001, 135(3): 527-544.
[14] He X L, Ashutosh P, Suresh P S. Cooperative advertising and pricing in a dynamic stochastic supply chain: feedback stackelberg strategies[J]. Production and Operations Management, 2009, 18(1): 78-94.
[15] 熊中楷,聂佳佳,熊榆.零售商竞争下纵向合作广告的微分对策模型[J].管理科学学报,2010,13(6):11-22.
[16] 聂佳佳,熊中楷.基于随机微分对策的纵向合作广告模型[J].管理工程学报,2010,24(3):136-143.
[17] 洪江涛,黄沛.两级供应链上质量控制的动态协调机制研究[J].管理工程学报,2011,25(2):62-65.
[18] 吴小节,汪秀琼,龙志和等.基于商誉的双寡头企业广告与产品质量竞争策略[J].管理学报,2010,7(8): 1152-1158.
[19] Blinder A S. Why are prices sticky? Preliminary results from an interview study [J]. American Economic Review, 1991, 81(2): 89-96.
[20] Aucremanne L, Dhyne E. How frequently do prices change? Evidence based on the micro data underlying the belgian CPI[J]. ECB Working Paper Series, No.331.
[21] Fershtman C, Kamien M. Dynamic duopolistic competition with sticky prices[J]. Econometrica, 1987, 55(5): 1151-1164.
[22] Tsutsui S, Mino K. Nonlinear strategies in dynamic duopolistic competition with sticky price[J]. Journal of Economic Theory, 1990, 52: 136-161.
[23] Yeung D W K, Petrosyan L A. Cooperative stochastic differential games [M]. New York: Springer, 2000.
[24] Cachon G P. Supply chain coordination with contracts[A]. Handbooks in Operation and Managements Science: Supply Chain Management[M].North-Holland, 2003, 229-339.

Dynamic Model and Coordination Strategy of Supply Chain with Sticky Price

具有价格粘性的供应链动态模型及其协调策略

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