考虑服务质量和延迟决策的双渠道供应链演化博弈分析

doi:10.6040/j.issn.1671-9352.0.2018.260

摘要/Abstract

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

司凤山,王晶,戴道明. 考虑服务质量和延迟决策的双渠道供应链演化博弈分析[J]. 《山东大学学报(理学版)》, 2020, 55(1): 86-93, 101.

Feng-shan SI,Jing WANG,Dao-ming DAI. Evolutionary game analysis of dual-channel supply chain considering service quality and delay decision[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2020, 55(1): 86-93, 101.

图/表 10

图1

图2

图3

图4

图5

图6

图7

图8

图9

图10

参考文献 21

1	丁锋, 霍佳震. 服务水平对双渠道供应链协调策略影响研究[J]. 中国管理科学, 2014, 22 (11): 485- 490.
	DING Feng , HUO Jiazhen . Study on the effect of service for coordination strategy of dual-channel supply chain[J]. Chinese Journal of Management Science, 2014, 22 (11): 485- 490.
2	张学龙, 覃滢樾, 王军进, 等. 考虑价格和服务质量竞争的垂直双渠道供应链决策模型[J]. 控制与决策, 2018, 33 (4): 687- 697.
	ZHANG Xuelong , QIN Yingyue , WANG Junjin , et al. Decision model of vertical dual-channel supply chain considering price and service level competition[J]. Control and Decision, 2018, 33 (4): 687- 697.
3	ZHOU Yongwu , GUO Jinsen , ZHOU Wenhui . Pricing/service strategies for a dual-channel supply chain with free riding and service-cost sharing[J]. International Journal of Production Economics, 2018, 196 (2): 198- 210.
4	LI Qinghua , LI Bo . Dual-channel supply chain equilibrium problems regarding retail services and fairness concerns[J]. Applied Mathematical Modelling, 2016, 40 (15-16): 7349- 7367. doi: 10.1016/j.apm.2016.03.010
5	刘京, 周岩, 郑英杰, 等. 考虑零售商公平关切和风险规避的绿色供应链最优决策[J]. 山东大学学报(理学版), 2018, 53 (5): 12- 29.
	LIU Jing , ZHOU Yan , ZHENG Yingjie , et al. Optimal decision-making for green supply chain considering retailer's fairness concern and risk aversion[J]. Journal of Shandong University (Natural Science), 2018, 53 (5): 12- 29.
6	DAN Bin , XU Guangye , LIU Can . Pricing policies in a dual-channel supply chain with retail services[J]. International Journal of Production Economics, 2012, 139 (1): 312- 320. doi: 10.1016/j.ijpe.2012.05.014
7	WANG Lisha , SONG Huaming , WANG Yongzhao . Pricing and service decisions of complementary products in a dual-channel supply chain[J]. Computers & Industrial Engineering, 2017, 105 (3): 223- 233.
8	陈良, 胡劲松. 风险规避对不同类型双渠道供应链决策的影响[J]. 山东大学学报(理学版), 2018, 53 (5): 30- 40.
	CHEN Liang , HU Jinsong . Influence of risk aversion on different types of dual-channel supply chain decision[J]. Journal of Shandong University (Natural Science), 2018, 53 (5): 30- 40.
9	ZHANG Fang , WANG Cong . Dynamic pricing strategy and coordination in a dual-channel supply chain considering service value[J]. Applied Mathematical Modelling, 2018, 54 (2): 722- 742.
10	BAO Binshuo , MA Junhai . Dynamic game behavior of retailers considering the quality of substitute products based on delay decision[J]. International Journal of Bifurcation and Chaos, 2017, 27 (13): 1- 21.
11	LUCA Gori , LUCA Guerrini , MAURO Sodini . A continuous time cournot duopoly with delays[J]. Chaos, Solitons & Fractals, 2015, 79 (10): 166- 177.
12	XU Wei , MA Junhai . Study on the dynamic model of a duopoly game with delay in insurance market[J]. WSEAS Transactions on Mathematics, 2012, 11 (7): 599- 608.
13	CHERN Mawsheng , PAN Qinhua , TENG Jinntsair , et al. Stackelberg solution in a vendor-buyer supply chain model with permissible delay in payments[J]. International Journal of Production Economics, 2013, 144 (1): 397- 404. doi: 10.1016/j.ijpe.2013.03.008
14	IYER Ganesh . Coordinating channels under price and nonprice competition[J]. Marketing Science, 1998, 17 (4): 338- 355. doi: 10.1287/mksc.17.4.338
15	TSAY A A.AGRAWAL N . Channel dynamics under price and service competition[J]. Manufacturing & Service Operations Management, 2000, 2 (4): 372- 391.
16	PU Xujin , GONG Lei , HAN Xiaohua . Consumer free riding: coordinating sales effort in a dual-channel supply chain[J]. Electronic Commerce Research and Applications, 2017, 22 (3-4): 1- 12.
17	SI Fengshan , MA Junhai . Complex dynamics in a triopoly game with multiple delays in the competition of green product level[J]. International Journal of Bifurcation and Chaos, 2018, 28 (2): 1- 24.
18	CHEN Yuanyuan , SONG Changming . Stability and Hopf bifurcation analysis in a prey-predator system with stage-structure for prey and time delay[J]. Chaos, Solitons & Fractals, 2008, 38 (4): 1104- 1114.
19	LI Yongkun , LI Changzhao . Stability and Hopf bifurcation analysis on a delayed Leslie-Gower predator-prey system incorporating a prey refuge[J]. Applied Mathematics and Computation, 2013, 219 (9): 4576- 4589. doi: 10.1016/j.amc.2012.10.069
20	KUZNETSOV Y A . Elements of applied bifurcation theory[M]. New York: Springer Press, 2004.
21	HASSARD D D , KAZARINOFF N D , WAN Y H . Theory and applications of Hopf bifurcation[M]. Cambridge: Cambridge University Press, 1981.

多维度评价

Viewed

Full text

Abstract

Cited

Shared

Discussed

[1]	陈良,胡劲松. 风险规避对不同类型双渠道供应链决策的影响[J]. 山东大学学报（理学版）, 2018, 53(5): 30-40.
[2]	邢海云,赵建立. 变异机制在网络演化博弈中的应用[J]. 山东大学学报（理学版）, 2016, 51(12): 103-107.
[3]	葛美侠, 李莹, 赵建立, 邢海云. 网络演化博弈的策略一致性[J]. 山东大学学报（理学版）, 2015, 50(11): 113-118.
[4]	葛连升1,周加强2,秦丰林1. 基于交叉熵的多约束QoS组播路由蚂蚁算法[J]. J4, 2010, 45(5): 35-41.
[5]	葛连升江林秦丰林. QoS组播路由算法研究综述[J]. J4, 2010, 45(1): 55-65.
[6]	石钊,葛连升,* . 一种解多QoS约束组播问题的改进蚁群算法[J]. J4, 2007, 42(9): 41-45 .