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《山东大学学报(理学版)》 ›› 2020, Vol. 55 ›› Issue (1): 86-93, 101.doi: 10.6040/j.issn.1671-9352.0.2018.260

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考虑服务质量和延迟决策的双渠道供应链演化博弈分析

司凤山(),王晶,戴道明   

  1. 安徽财经大学管理科学与工程学院, 安徽 蚌埠 233030
  • 收稿日期:2018-05-15 出版日期:2020-01-20 发布日期:2020-01-10
  • 作者简介:司凤山(1981—),男,博士,讲师,研究方向为供应链管理与协调. E-mail:sifs2007@126.com|王晶(1981—),女,博士,副教授,研究方向为供应链系统复杂性. E-mail:crystalstella@126. com
  • 基金资助:
    国家自然科学基金资助项目(11626033);安徽省高校自然科学研究重点项目(KJ2019A0662);安徽省高校人文社会科学研究重点项目(SK2017A0434)

Evolutionary game analysis of dual-channel supply chain considering service quality and delay decision

Feng-shan SI(),Jing WANG,Dao-ming DAI   

  1. School of Management Science and Engineering, Anhui University of Finance and Economics, Bengbu 233030, Anhui, China
  • Received:2018-05-15 Online:2020-01-20 Published:2020-01-10

摘要:

在考虑零售商服务质量和延迟决策的基础上,构建双渠道供应链的时滞微分价格博弈模型,探究博弈模型Hopf分岔的存在性和局部渐近稳定性,分析决策变量对博弈模型稳定性的影响,探讨系统的稳定性对价格演化趋势的影响。研究表明:是否采取延迟决策,稳定系统的均衡策略不变;稳定系统的博弈结果会收敛于均衡策略,失稳系统的博弈结果则趋于极限环;延迟决策变量、服务质量和价格调整速度都必须在一定的范围内调节才能保持系统稳定;失稳的系统能够成功实现控制。

关键词: 服务质量, 延迟决策, 双渠道供应链, 演化博弈

Abstract:

Considering the retailer's service quality and delay decision, this paper constructs a delay differential price game model for dual-channel supply chain, explores the existence and local asymptotic stability of Hopf bifurcation in the game model, analyses the influence of decision variables on the stability of the game model, and explores the influence of the stability of the system on the price evolution trend. The results show that the equilibrium strategy of the stabilization system remains unchanged if delayed decision is adopted or not; the game results of the stabilization system converge to the equilibrium strategy, while the game results of the unstable system tend to the limit cycle; the delay decision variables, service quality and price adjustment speed must be adjusted within a certain range to maintain the stability of the system; and the unstable system can be successfully controlled.

Key words: service quality, delay decision, dual-channel supply chain, evolutionary game

中图分类号: 

  • TP273

图1

双渠道供应链结构图"

图2

系统不采用延迟策略的时间序列图"

图3

系统关于τ的分岔图"

图4

稳定系统的吸引子图"

图5

不稳定系统的吸引子图"

图6

当τ=0.2时服务质量s对利润的影响"

图7

当τ=0.2时价格调整速度k1对价格的影响"

图8

当τ=0.35时系统(20)关于μ的分岔图"

图9

当μ=0.04时系统(20)的吸引子图"

图10

当μ=0.05时系统(20)的吸引子图"

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