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。
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 .
出处
《运筹与管理》
CSSCI
CSCD
北大核心
2013年第6期110-116,共7页
Operations Research and Management Science
基金
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)
关键词
价格粘性
动态博弈
供应链协调
数量折扣契约
sticky price
differential games
supply chain coordination
quantity discount contract