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Complexity and Entropy Analysis of a Multi-Channel Supply Chain Considering Channel Cooperation and Service

by Qiuxiang Li 1, Xingli Chen 2,* and Yimin Huang 3,*
1
Institute of Management Science and Engineering, Henan University, Kaifeng 475004, China
2
College of Business, Henan University, Kaifeng 475004, China
3
College of Management & Economics, North China University of Water Resources and Electric Power, Zhengzhou 450046, China
*
Authors to whom correspondence should be addressed.
Entropy 2018, 20(12), 970; https://doi.org/10.3390/e20120970
Received: 23 November 2018 / Revised: 9 December 2018 / Accepted: 9 December 2018 / Published: 14 December 2018
(This article belongs to the Section Complexity)
In this paper, based on the background of channel cooperation and service of the supply chain, this paper constructs a Nash game model and a Stackeberg game model in the multi-channel supply chain considering an online-to-store channel (OSC). Based on maximizing the profits and the bounded rationality expectation rule (BRE), this paper builds a dynamic game model, respectively, and analyzes the stability of the equilibrium points by mathematical analysis and explores the influences of parameters on stability domain and entropy of the system by using bifurcation diagram, the entropy diagram, the largest Lyapunov exponent and the chaotic attractor etc. Besides, the influences of service level and profit distribution rate on system’s profit are discussed. The theoretical results show that the greater the service level and profit distribution rate are, the smaller the stability domain of the system is; the system will go into chaotic state and the system’s entropy will increase when operators adjust her/his price decision quickly; when the manufacturer or the retailer keeps service level in the appropriate value which is conducive to maximizing her/his profit; the manufacturer should carefully set the service level of OSC to ensure the system’s profit; in Nash game model, the stability of the system weakens than that in Stackelberg game model. Furthermore, this paper puts forward some suggestions to help the manufacturer and retailer in multi-channel supply chain to do the better decision. View Full-Text
Keywords: multi-channel supply chain; cooperation; service; chaos; entropy multi-channel supply chain; cooperation; service; chaos; entropy
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Li, Q.; Chen, X.; Huang, Y. Complexity and Entropy Analysis of a Multi-Channel Supply Chain Considering Channel Cooperation and Service. Entropy 2018, 20, 970.

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