scholarly journals A Stochastic Differential Game in the Closed-Loop Supply Chain with Third-Party Collecting and Fairness Concerns

2019 ◽  
Vol 11 (8) ◽  
pp. 2241 ◽  
Author(s):  
Jianmin Xiao ◽  
Zongsheng Huang

This paper investigates the optimal return control problem in a closed-loop supply chain consisted of one manufacturer, one retailer, and one third-party collector, in the presence of stochastic return disturbance and fairness concern of followers. We formulate the stochastic differential game-theoretic models and resolve the feedback Stackelberg equilibriums without and with fairness concern. We also derive the evolutionary paths of the stochastic return rate and the value functions of the supply chain members under the optimal control strategies. We find that the feedback equilibrium exists only under a specific condition, and the expectation and variance of the return rate both approach the stable state for a specific closed-loop supply chain system. We further discussed the impact of fairness concerns on the supply chain system. The manufacturer would shift profit to the retailer by lowering the wholesale price, and the stable expected return rate will be lower in the supply chain with fairness concerns, as the third party will have less incentive to collect used products, considering unfairness. The manufacturer should set a higher transfer subsidy to incentivize the third party to collect when the third party is concerned with fairness.

2021 ◽  
Vol 2021 ◽  
pp. 1-20
Author(s):  
Wenbin Wang ◽  
Jia Lv ◽  
Ni An ◽  
Jie Guan ◽  
Shiyuan Quan

This paper investigates the reward-penalty mechanism (RPM) implemented by the government in a closed-loop supply chain (CLSC) with asymmetric information. The manufacturer produces and sells products to consumers, while the collection of waste electrical and electronic equipment (WEEE) is delegated to the third-party collector, the one who has private information about the collection effort level. An information screening contract for the manufacturer is put forward to obtain the private information from the third-party collector, which is composed of buy-back price and franchise fee. By utilizing principal-agent theory, two cases are mainly examined including the CLSC without the RPM and the CLSC with the RPM. The results demonstrate that (i) the information screening contract is effective in capturing the collector’s collection effort level, (ii) raising the buy-back price to motivate the third-party collector is confirmed to perform well on enhancing the collection quantity from consumers, (iii) H-type collector collects more WEEEs and earns more profits than L-type collector, and (iv) the RPM improves the collection quantity of the enterprise and reaps more environmental benefits. The numerical results verify the validity of the contract and the feasibility of the RPM.


Author(s):  
A. Chakraborty ◽  
Tarun Maiti ◽  
B. C. Giri

The main feature of sustainable supply Chain Management is reuse of End of Life (EOL) products to reduce the environmental pollution. This paper considers the Consignment Stock (CS) policy for a Closed-Loop Supply Chain (CLSC). To achieve the economic goal, this study presents a multi-echelon supply chain with a single manufacturer, a single retailer and a third-party service provider. The objective is to optimize this three-level CLSC under a Stackelberg game scenario. The other objective is to identify the environmental impact of remanufacturing EOL products. In this CLSC, the manufacturer acts as the Stackelberg leader and the retailer, the third party are the followers. Under manufacturer's leadership, the retailer and the third party acquire three different decision strategies - I, II, and III. In decision strategy I, the retailer acts as the leader and the third party acts as a follower, whereas in decision strategy II, they obtain a Nash game strategy. In the decision strategy III, they act as one unit and decide their decisions centrally. Numerical example and sensitivity analysis are used to illustrate optimal results of different decision strategies and also check the behaviour of key model-parameters. The best outcomes are found in decision strategy I. The main findings of our study show that when upper level player has more power then the supply chain gives best outcomes.


2017 ◽  
Vol 35 (4) ◽  
pp. 379-386 ◽  
Author(s):  
Shidi Miao ◽  
Tengfei Wang ◽  
Deyun Chen

With the rapid development of the electronic information industry in recent years, electronic products are being updated faster and faster, and e-waste recycling has become a common problem around the world. Firstly, this article contrasts recycling at home and abroad using the predicament of Midea Corp. Based on a closed-loop supply chain with the system dynamics method, a model is constructed and simulated. In this model, the collection point coverage rate is introduced to adjust the e-waste recycling rate dynamically. Aiming at a recycling mode dominated by the third party of the closed-loop supply chain, the article mainly discusses the impact on the sales rate and market share of the recycling model by third-party enterprises and compares the total revenue of all supply chains. Simulation results show that the model is more effective and optimal than the traditional recycling model.


2020 ◽  
Vol 37 (05) ◽  
pp. 2050021
Author(s):  
Xiaogang Cao ◽  
Hui Wu ◽  
Hui Wen ◽  
Kebing Chen

In this paper, a closed-loop supply chain consisting of a manufacturer, a retailer and a third-party remanufacturer responsible for collecting used products and remanufacturing is constructed. Considering the quality level of remanufactured products, four kinds of closed-loop supply chain alliance structure models are constructed. The optimal equilibrium decisions of these four models are compared and analyzed. The optimal decisions of the models are verified by numerical analysis. Furthermore, the impacts of the quality of remanufactured products and the decision influence of the third-party remanufacturer in the alliance on the remanufacturer’s decision are further analyzed. The results show that remanufactured products are competitive with new products, and the improvement of the remanufactured product quality will reduce the market demand of new products. The equilibrium decision of the closed-loop supply chain is affected by the alliance behavior of members in the closed-loop supply chain and the quality level of remanufactured products. The higher the decision concentration of the closed-loop supply chain is, the more favorable the supply chain is; the higher the remanufacturing quality level is, the more favorable the supply chain is, and the alliance decision of the third-party remanufacturer is affected by the quality level of remanufactured products and the decision-making influence of the third-party remanufacturer in the alliance structure. We find that the improvement of the concentration degree of closed-loop supply chain decision can benefit the supply chain by improving the remanufacturing quality level, which has direct effect on the alliance decision of the third-party remanufacturer. In most cases, the choice of the alliance is the dominant decision of the third-party remanufacturer.


2015 ◽  
Vol 3 (1) ◽  
pp. 37-47
Author(s):  
Xiaogang Cao ◽  
Leqi Hua ◽  
Hui Wen ◽  
Yan Wu

AbstractThis paper studies the closed-loop supply chain decision problem in which the original manufacturer allows the third-party remanufacturer to remanufacture under patent protection. In the two cycle mode, the authors discuss the pricing decision problem of the original manufacturer, the retailer, and the third-party remanufacturer in centralized and decentralized decision-making cases. The authors obtain the optimal sale price and wholesale price of new products and remanufactured products in two cases, and the optimal recycling rate of used products in centralized decision-making case. Finally, the authors carry out the corresponding numerical simulation of the pricing decision.


2021 ◽  
Vol 31 (09) ◽  
pp. 2150132
Author(s):  
Yuhao Zhang ◽  
Tao Zhang

In this paper, we consider a closed-loop supply chain (CLSC) consisting of two suppliers, one manufacturer, one risk-averse retailer and one fair-caring third-party in the presence of supply disruption. We focus on establishing a dynamic Stackelberg game model with bounded rational expectation and analyzing the game evolution process. The effects of key parameters on the Nash equilibrium solutions and their stability are investigated, as well as the complex dynamical behaviors of the CLSC system are explored by using the stability region, bifurcation graph, the largest Lyapunov exponent (LLE), strange attractors, etc. Moreover, the performance of channel members under different values of parameters is researched by utilizing the (average) expected profits or utilities index. The analysis results reveal that the excessive fast adjustment speed of the manufacturer will lead to the system losing stability and falling into chaos. Also, the retailer’s risk aversion and the third party’s fairness concerns have a destabilization effect on the Nash equilibrium point, while the possibility of supply disruption has different effects on the scope of the adjustment speed of decision variables of the manufacturer. Furthermore, in most cases, an over the top adjustment speed of the manufacturer is disadvantageous to all the channel members for more expected profits, but the third-party can achieve a better performance when the system is in periodic state. Finally, the time-delay feedback control method is proposed to eliminate the system chaos.


2018 ◽  
Vol 10 (10) ◽  
pp. 3433 ◽  
Author(s):  
Muhammad Arshad ◽  
Qazi Khalid ◽  
Jaime Lloret ◽  
Antonio Leon

In this paper, a closed-loop supply chain composed of dual-channel retailers and manufacturers, a dynamic game model under the direct recovery, and an entrusted third-party recycling mode of the manufacturer is constructed. The impact of horizontal fairness concern behavior is introduced on the pricing strategies and utility of decision makers under different recycling models. The equilibrium strategy at fair neutrality is used as a reference to compare offline retails sales. Research shows that in the closed-loop supply chain of dual-channel sales, whether in the case of fair neutrality or horizontal fairness concerns, the manufacturer’s direct recycling model is superior to the entrusted third-party recycling, and the third-party recycling model is transferred by the manufacturer. In the direct recycling model, the horizontal fairness concern of offline retailers makes two retailers in the positive supply chain compete to lower the retail price in order to increase market share. Manufacturers will lower the wholesale price to encourage competition, and the price will be the horizontal fairness concern coefficient, which is negatively correlated. In the reverse supply chain, manufacturers increase the recycling rate of used products. This pricing strategy increases the utility of manufacturers and the entire supply chain system compared to fair neutral conditions, while two retailers receive diminished returns. Manufacturers, as channel managers to encourage retailers to compete for price cuts, can be coordinated through a three-way revenue sharing contract to achieve Pareto optimality.


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