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中国管理科学 ›› 2020, Vol. 28 ›› Issue (10): 165-171.doi: 10.16381/j.cnki.issn1003-207x.2020.10.016

• 论文 • 上一篇    下一篇

考虑定价和需求关系的供应链网络优化研究

胡鸿韬1, 边迎迎1, 郭书源1, 王帅安2, 严伟1   

  1. 1. 上海海事大学物流工程学院, 上海 201306;
    2. 香港理工大学物流及航运学系, 香港 999077
  • 收稿日期:2018-03-31 修回日期:2019-04-23 出版日期:2020-10-20 发布日期:2020-11-11
  • 通讯作者: 王帅安(1984-),男(汉族),山东青岛人,香港理工大学工商管理学院物流及航运学系,副教授,研究方向:供应链管理、集装箱物流、多式联运、交通工程,E-mail:hans.wang@polyu.edu.hk. E-mail:hans.wang@polyu.edu.hk
  • 基金资助:
    国家自然科学基金资助项目(71771143);上海海事大学研究生创新基金资助项目(YXR2017057)

Research on Supply Chain Network Optimization with the Relationship of Pricing and Demand

HU Hong-tao1, BIAN Ying-ying1, GUO Shu-yuan1, WANG Shuai-an2, YAN Wei1   

  1. 1. School of Logistics Engineering, Shanghai Maritime University, Shanghai 201306, China;
    2. Department of Logistics and Maritime Studies, The Hong Kong Polytechnic University, Hong Kong 999077, China
  • Received:2018-03-31 Revised:2019-04-23 Online:2020-10-20 Published:2020-11-11

摘要: 本文通过引入价格-需求函数描述产品价格变化对消费者需求的影响,构建了一个由制造商、仓库和消费者组成的三级供应链网络。在此基础上,以最大化供应链总利润为目标、以定价和需求为决策变量,建立了混合整数非线性规划(MINLP)模型。基于该模型目标函数非线性的复杂性,采用外部近似法将目标函数近似线性化,即切割成有限条切线,使其可以求解。最后通过不同规模的算例分析验证了模型和算法的可行性与有效性,从而指导供应链上的企业权衡其成本和收益,提高顾客的满意度。

关键词: 供应链网络, 价格-需求函数, 非线性规划, 外部近似法

Abstract: In the supply chain network, prices have a large impact on the consumer demand and profits. In this paper, a price-demand function is introduced to describe the effect of the changing price on consumer demand. Then a three-level supply chain network is constructed which constitutes manufacturer, warehouses, and consumers. By considering the pricing and demand as decision variables, a mixed integer nonlinear programming (MINLP) model is established, which aims to maximize the total profit of the supply chain. To address the MINLP model, the nonlinear objective function is firstly transformed into a nonlinear constraint. Then the nonlinear constraint is approximated by a finite number of tangents by using the outer-approximation method. Finally, a set of linear constraints are added into the model to replace the nonlinear constraint; hence the MINLP model is approximated by a mixed integer linear programming model. Although the scale of the model increases because of linearization, numerical experiments show that the outer-approximation method can still find the optimal solution of the problem on realistic-sized instances in a short time. The proposed model can guide the enterprises in the supply chain to balance the costs and benefits and to improve the customer satisfaction.

Key words: supply chain network, price-demand function, nonlinear programming, outer-approximation method

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