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中国管理科学

中国管理科学 ›› 2023, Vol. 31 ›› Issue (11): 80-89.doi: 10.16381/j.cnki.issn1003-207x.2020.2270

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不确定性因素影响下的混沌供应链系统脉冲同步策略研究

吴江1,彭扬2(),邹黎敏3,冯玉明4,涂正文4   

  1. 1.西南财经大学管理科学与工程学院, 四川 成都 611130
    2.重庆科技学院数理与大数据学院, 重庆 401331
    3.重庆工商大学数学与统计学院, 重庆 400067
    4.重庆三峡学院智能信息处理与控制重点实验室, 重庆 404100
  • 收稿日期:2020-11-30 修回日期:2021-05-24 出版日期:2023-11-15 发布日期:2023-11-20
  • 通讯作者: 彭扬 E-mail:peng_yang2011@163.com
  • 基金资助:
    重庆市科技局自然科学基金资助面上项目(CSTB2022NSCQ-MSX1506);重庆市教委人文社会科学研究专项项目(22skgh435)

Research on Impulsive Synchronization Strategy of Chaotic Supply Chain System under the Influence of Uncertain Factors

Jiang WU1,Yang PENG2(),Li-min ZOU3,Yu-ming FENG4,Zheng-wen TU4   

  1. 1.School of Management Science and Engineering, Southwestern University of Finance and Economics, Chengdu 611130, China
    2.School of Mathematical Physics and Data Science, Chongqing University of Science and Technology, Chongqing 401331, China
    3.School of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067, China
    4.Key Laboratory of Intelligent Information Processing and Control, Chongqing Three Gorges University, Chongqing 404100, China
  • Received:2020-11-30 Revised:2021-05-24 Online:2023-11-15 Published:2023-11-20
  • Contact: Yang PENG E-mail:peng_yang2011@163.com

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摘要：

供应链系统通常易受到众多不确定性因素的影响，同步策略是降低不确定性因素带来负面影响的有效方法，现有研究主要采用连续的同步策略，但实施难度较大，而采用离散的脉冲同步策略更具现实意义。本文考虑联合效应对分销量和生产量的影响程度，构建由一个生产商、分销商、零售商组成的供应链系统，该供应链系统对不确定性因素非常敏感，具有混沌的特征，生产量、分销量与零售量的微小变化随时间推移将导致供应链系统各分量产生较大改变。利用李雅普诺夫稳定性理论、矩阵不等式，得到该供应链系统离散的脉冲同步策略；然后构建受参数不确定和输入扰动的供应链系统，并给出相应的脉冲同步策略；最后以我国玉米供应链系统为例，通过临储收购、批量订货、促销活动的方式分别对玉米生产量、分销量和零售量进行调控，验证脉冲同步策略的有效性。研究发现：（1） 合理的脉冲强度和时间间隔能使供应链系统逐步恢复至预期状态，一般地，脉冲强度小，时间间隔也小，若脉冲强度大，时间间隔可随之变大；（2） 不合理的脉冲强度和时间间隔可能导致供应链系统偏离预期状态；（3） 对于受参数不确定和输入扰动的混沌供应链系统，脉冲同步策略约束性更强，但具有更好的稳健性。

关键词: 供应链, 混沌, 脉冲同步, 联合效应, 不确定性

Abstract:

Supply chain system is usually easily affected by many uncertain factors. Synchronization strategy is an effective way to reduce the negative impact of uncertainty， the existing researches mainly use continuous synchronization strategy， but it is difficult to implement， and the discrete synchronization strategy is more practical. In this paper， a supply chain system composed of a manufacturer， a distributor and a retailer is constructed by considering the influence of the combined effect on the quantities of distribution and production， this supply chain system is very sensitive to uncertain factors and has the characteristics of chaos， small changes in production， distribution and consumption will lead to great changes in the supply chain system over time； by using Lyapunov stability theory and matrix inequality， the discrete impulsive synchronization strategy of the supply chain system is obtained； Furthermore， the chaotic supply chain system with uncertain parameters and input disturbance is constructed， and the corresponding impulsive synchronization strategy is given； Finally， taking China’s corn supply chain system as an example， the production， distribution and consumption of corn are controlled by using temporary storage purchase policy， batch ordering and promotion activities respectively， and the effectiveness of impulse synchronization strategy is verified. The relevant parameters are estimated and calculated by nonlinear curve fitting based on corn production， distribution and consumption in China from 2007 to 2018. These data can be found in the U.S. Department of agriculture’s world agricultural supply and demand estimates. The results show that： （1） reasonable impulse intensity and time interval can gradually restore the supply chain system to the expected state. Generally， the impulse intensity is small and the time interval is small. If the impulse intensity is large， the time interval can be increased accordingly； （2） unreasonable impulse intensity and time interval may lead to the deviation of supply chain system from the expected state； （3） For the chaotic supply chain system with uncertain parameters and input disturbance， the impulsive synchronization strategy is more constrained but has better robustness. These findings can reduce the negative impact of uncertain factors on the supply chain system， which is useful for decision-makers as it allows both the visualization and control of the states or dynamics of the entire supply chain system.

Key words: supply chain, chaos, impulsive synchronization, combined effect, uncertainty

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