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《山东大学学报(理学版)》 ›› 2020, Vol. 55 ›› Issue (9): 101-89.doi: 10.6040/j.issn.1671-9352.0.2019.190

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消费者参考质量存在时滞效应的动态质量改进策略

马德青,胡劲松*()   

  1. 青岛大学商学院, 山东 青岛 266071
  • 收稿日期:2019-04-08 出版日期:2020-09-20 发布日期:2020-09-17
  • 通讯作者: 胡劲松 E-mail:hujinsong@qdu.edu.cn
  • 作者简介:纪雅杰(1996—),女,硕士研究生,研究方向为行为运营管理. E-mail:779065451@qq.com
  • 基金资助:
    国家自然科学基金资助项目(71771129)

Dynamic quality improvement strategies with delay effect in consumer reference quality

De-qing MA,Jin-song HU*()   

  1. School of Business, Qingdao University, Qingdao 266071, Shandong, China
  • Received:2019-04-08 Online:2020-09-20 Published:2020-09-17
  • Contact: Jin-song HU E-mail:hujinsong@qdu.edu.cn

摘要:

考虑制造商产品质量改进的时滞效应对消费者参考质量的影响,构建了Nash非合作博弈、协同合作博弈、制造商承担零售商广告成本的部分合作博弈以及零售商承担制造商质量成本的部分合作博弈的供应链微分博弈模型。借助微分博弈原理得到了4种博弈模式的成员均衡策略和供应链绩效。研究发现:产品质量改进的时滞效应影响制造商的质量改进策略,不影响零售商的广告策略;成员的边际收益和成本是影响其策略以及绩效的关键因素。对比分析和数值算例发现:供应链成员的部分合作博弈虽不能实现供应链的完美协调,但可对分散式供应链进行帕累托改进;无论时滞效应存在与否,协同合作博弈下的成员策略、绩效及消费者参考质量水平更高。

关键词: 参考质量, 时滞效应, 质量改进, 微分博奕, 时滞微分方程

Abstract:

Considering the delay effect of manufacturer product improvement on consumer reference quality, the supply chain differential game models of Nash non-cooperative game, cooperative game, partial cooperative game for manufacturer to bear retailer advertising cost and partial cooperative game for retailer to bear manufacturer quality cost are constructed. The member equilibrium strategy and supply chain performance of four game modes are obtained with the help of differential game theory. It is found that the delay effect will affect the quality improvement strategy of the manufacturer, but will not affect the advertising strategy of the retailer. The marginal revenue and cost of the members are the key factors affecting the strategy and performance. The results of comparative analysis and numerical examples show that partial cooperative games of supply chain members can not realize the perfect coordination of supply chain, but it can improve the decentralized supply chain in Pareto. The strategies members performance and consumer reference quality level under cooperative games are higher with or without the delay effect.

Key words: reference quality, delay effect, quality improvement, differential game, delay differential equation

中图分类号: 

  • F224

表1

参数敏感性分析"

q N A N q C A C q S A S q B A B q IN A IN q IC A IC q IS A IS q IB A IB
ρ M
ρR
kM
kR
δ

图1

有/无时滞效应时的消费者参考质量"

图2

时滞时间对供应链总利润的影响"

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