Next Article in Journal
Estimating Topic Modeling Performance with Sharma–Mittal Entropy
Previous Article in Journal
A Class of Quadratic Polynomial Chaotic Maps and Their Fixed Points Analysis
Article Menu

Export Article

Open AccessArticle

The Complexity Entropy Analysis of a Supply Chain System Considering Recovery Rate and Channel Service

1
Institute of Modern Logistics, Henan University, Kaifeng 475004, China
2
Institute of Management Science and Engineering, Henan University, Kaifeng 475004, China
3
School of Business, Henan University, Kaifeng 475004, China
4
School of Management & Economics, North China University of Water Resources and Electric Power, Zhengzhou 450046, China
*
Author to whom correspondence should be addressed.
Entropy 2019, 21(7), 659; https://doi.org/10.3390/e21070659
Received: 20 May 2019 / Revised: 29 June 2019 / Accepted: 1 July 2019 / Published: 4 July 2019
(This article belongs to the Section Complexity)
  |  
PDF [5573 KB, uploaded 10 July 2019]
  |  

Abstract

In this paper, we study a dual-channel closed-loop supply chain in which a manufacturer considers the market waste products recovery and remanufacture, and a retailer considers provide services to customers. We build a Stackelberg game model and a centralized game model in a static and dynamic state, respectively, and analyze the two dynamic models by mathematical analysis and explore the stability and entropy of the two models using bifurcation, the basin of attraction, chaotic attractors, and so on. The influences of service level and profit distribution rate on the system’s profit are discussed. The theoretical results show that higher price adjustment speed will lead to the system lose stability with a larger entropy value. In the Stackelberg game model, the stability of the system increases as the service value and the recovery rate increases; in the centralized model, the stability of the system decreases with the increase of the service value and increases with the recovery rate increases. When the Stackelberg game model is in a stable state, the manufacturer’s profit increases first and then decreases, and the retailer’s profit first decreases and then increases as the service value of the retailer increases. The research will serve as good guidance for both the manufacturer and retailer in dual-channel closed-loop supply chains to improve decision making. View Full-Text
Keywords: closed-loop supply chain; recovery rate; service; entropy closed-loop supply chain; recovery rate; service; entropy
Figures

Figure 1

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
SciFeed

Share & Cite This Article

MDPI and ACS Style

Li, Q.; Shi, M.; Deng, Q.; Huang, Y.-M. The Complexity Entropy Analysis of a Supply Chain System Considering Recovery Rate and Channel Service. Entropy 2019, 21, 659.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Entropy EISSN 1099-4300 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top