Abstract

A reverse recycling supply chain consisting of two recyclers is established in this paper, which takes into account the fact that the recyclers will consider the issue of fair concern in pricing. The paper discusses the local stability of the Nash equilibrium point in this price game model showing that the fair concern factors will reduce the stable area of the system. The paper also discusses the impacts of the sensitivity of the recovery price and the price cross coefficient on the stable area of the system. Through the method of system simulation and use of some indicators, such as the singular attractor, bifurcation diagram, attraction domain, power spectrum, and maximum Lyapunov exponent, the characteristics of the system at different times will be illustrated.

Highlights

  • With the information technology innovation and the deep integration of global economy in the postindustrial era, product replacement has become more frequent, resulting in more and more waste products, environmental degradation, and resource shortages. e green innovation strategy is a new idea for achieving green development and an inevitable choice for enterprise upgrading [1]

  • Closedloop supply chain management has attracted widespread attention from various scholars [2]. Scholars such as Savaskan et al [3, 4] have conducted a more comprehensive study of the recycling models. They made analysis on three recycling models in a closedloop supply chain; secondly, they made an analysis on the selection of the optimal recycling channels in the manufacturers’ closed-loop supply chains

  • E structure of this paper is as follows: in the first part, the literature is being summarized; in the second part, the price game model of two recyclers would be constructed; in the third part, analysis on the local and global stability of equilibrium points should be given; in the fourth part, the relation between the equilibrium point and the parameters would be studied with the help of the simulation technique and the characteristics of system in chaos would be presented; and in the fifth part, the conclusion of the paper should be given

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Summary

Introduction

With the information technology innovation and the deep integration of global economy in the postindustrial era, product replacement has become more frequent, resulting in more and more waste products, environmental degradation, and resource shortages. e green innovation strategy is a new idea for achieving green development and an inevitable choice for enterprise upgrading [1]. The supply chain is a complex economic system, which entails features of human participation, being open and possessing information feedback function, but at the same time, it is not able to realize the changes in the competition process in accordance with the predesigned blueprint and preset orbit Instead, these changes can only be realized through the interaction and game of the main players in the system. Is paper discussed the impacts of equity fairness concerns on the stable domain of the system and made simulation study on the system in the case of the supply chain system for reverse recovery: (1) the manufacturer does not participate in the recovery but gives subsidies to the recyclers; (2) it is assumed that one of the retailers is concerned about equity. E structure of this paper is as follows: in the first part, the literature is being summarized; in the second part, the price game model of two recyclers would be constructed; in the third part, analysis on the local and global stability of equilibrium points should be given; in the fourth part, the relation between the equilibrium point and the parameters would be studied with the help of the simulation technique and the characteristics of system in chaos would be presented; and in the fifth part, the conclusion of the paper should be given

Problem Description and Model Building
Stability Analysis of the Equilibrium Points
Numerical Simulation
Relationship between the Stability of the Equilibrium
LCb–1 Z2
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