Research on the Complexity and Chaos Control about a Closed‐Loop Supply Chain with Dual‐Channel Recycling and Uncertain Consumer Perception

As a service-oriented business platform model, the nature of cloud manufacturing is to realise the manufacturing resources’ sharing, which will largely benefit resources supplier, resources demander, and platform operator. However, it also faces some new problems. One of the most critical issues is how to dynamically match resources of supply and demand to maximise profits of all parties while considering matching costs. This paper investigates the resources’ dynamic matching in a manufacturing supply chain that operates under a cost-sharing contract and consists of two independent and competing manufacturers and a resource-service platform. We first use differential equation to model the evolution of resource-sharing and capture the effect of matching service efforts on market demand. Next, we study the optimal matching strategies by a two-stage differential game based on the dynamic control approach. Then, we design a cost-sharing contract to coordinate and improve the supply chain’s performance. Finally, a numerical example is provided to illustrate the impact of platform transaction fees and matching costs on the feasible region of the corresponding contract.

Section: Problem Description and The Basic Modelsupporting

confidence: 56%

Dynamic Matching in Cloud Manufacturing considering Matching Costs

Chen

Cui

2019

“…Li et al [24,25] and Li et al [26,27] studied the long-term price competition in the multichannel supply chain and found complex phenomena such as bifurcation and chaos. Ma et al [28,29] studied the chaotic phenomenon in the closed-loop supply chain and performed effective chaotic control for the system. For many economic management systems, chaos is detrimental to the system operation.…”

Section: Introductionmentioning

confidence: 99%

Stability Analysis and Chaos Control of Recycling Price Game Model for Manufacturers and Retailers

Yan

2019

With application of nonlinear theory, this paper makes study on the long-term competition in a recycling price game model by manufacturers and retailers. The paper makes analysis on the local stability of the Nash equilibrium point and gives the corresponding stable region. It has been found that the stability of the whole system would be significantly impacted by the following factors which include adjustment speed of the recycling price, the proportion of recycled products by channels, the sensitivity of consumers for the recycling price, and the price cross-elasticity between two channels. By means of the simulation technology, the complexity of the recycling price in the system in the long-term competition has been demonstrated. Owing to the change of parameters, bifurcation, chaos, and other phenomena would appear in the system. When the system is becoming chaotic, the profit of the whole system decreased. All these show that the operational efficiency for the whole system will be impaired by the chaos. Effective chaotic control of the system will be realized by the use of the parameter adaptation method.

“…In chaos control, some scholars have studied the control methods of the chaotic system [27,32,37]. According to the characteristics of this paper, this paper takes system (25) as Complexity an example, and a chaos control method based on state feedback is adopted.…”

Section: Control Of Complexity Dynamicsmentioning

confidence: 99%

The Impact of Service and Channel Integration on the Stability and Complexity of the Supply Chain

Zhou

Chen

2020

This paper constructs a supply chain consisting of a manufacturer and a retailer. Considering channel integration and service cooperation, two dynamic Stackelberg game models are established: one without unit profit allocation M and the other one with unit profit allocation Mε. In two dynamic models, we analyze the influence of relevant parameters on the stability and complexity of the dynamic system and system profit by nonlinear system theory and numerical simulation. We find that the higher adjustment parameters can cause the system to lose stability, showing double period bifurcation or wave-shape chaos. The stable region becomes larger with increase in service value and value of unit profit sharing. Besides, when the system is in chaotic state, we find that the profit of the system will fluctuate or even decline sharply; however, keeping the parameters in a certain range is helpful in maintaining the system stability and is conducive to decision-makers to obtain steady profits. In order to control the chaos phenomenon, the state feedback method is employed to control the chaotic system well. This study provides some valuable significance to supply chain managers in channel integration and service cooperation.