Dynamics of Fractional-Order Digital Manufacturing Supply Chain System and Its Control and Synchronization

Digital manufacturing is widely used in the production of automobiles and aircrafts, and plays a profound role in the whole supply chain. Due to the long memory property of demand, production, and stocks, a fractional-order digital manufacturing supply chain system can describe their dynamics more precisely. In addition, their control and synchronization may have potential applications in the management of real-word supply chain systems to control uncertainties that occur within it. In this paper, a fractional-order digital manufacturing supply chain system is proposed and solved by the Adomian decomposition method (ADM). Dynamical characteristics of this system are studied by using a phase portrait, bifurcation diagram, and a maximum Lyapunov exponent diagram. The complexity of the system is also investigated by means of SE complexity and C0 complexity. It is shown that the complexity results are consistent with the bifurcation diagrams, indicating that the complexity can reflect the dynamical properties of the system. Meanwhile, the importance of the fractional-order derivative in the modeling of the system is shown. Moreover, to further investigate the dynamics of the fractional-order supply chain system, we design the feedback controllers to control the chaotic supply chain system and synchronize two supply chain systems, respectively. Numerical simulations illustrate the effectiveness and applicability of the proposed methods.

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A Core Model for Parts Suppliers Selecting Method in Manufacturing Supply Chain

Mathematical Problems in Engineering ◽

10.1155/2015/530147 ◽

2015 ◽

Vol 2015 ◽

pp. 1-11 ◽

Cited By ~ 1

Author(s):

Guorong Chen ◽

Jiangyuan Zhao ◽

Juli Deng

Keyword(s):

Supply Chain ◽

Complex Network ◽

Manufacturing Systems ◽

Fixed Number ◽

Core Model ◽

Supply Chain System ◽

Chain System ◽

Manufacturing Supply Chain ◽

Service Oriented ◽

Parts Suppliers

Service-oriented manufacturing is the new development of manufacturing systems, and manufacturing supply chain service is also an important part of the service-oriented manufacturing systems; hence, the optimal selection of parts suppliers becomes one of key problems in the supply chain system. Complex network theories made a rapid progress in recent years, but the classical models such as BA model and WS model can not resolve the widespread problems of manufacturing supply chain, such as the repeated attachment of edge and fixed number of vertices, but edges increased with preferential connectivity, and flexible edges’ probability. A core model is proposed to resolve the problem in the paper: it maps the parts supply relationship as a repeatable core; a vertex’s probability distribution function integrating the edge’s rate and vertex’s degree is put forward; some simulations, such as the growth of core, the degree distribution characteristics, and the impacting of parameter, are carried out in our experiments, and the case study is set also. The paper proposed a novel model to analyze the manufacturing supply chain system from the insights of complex network.

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Fuzzy adaptive control technique for a new fractional-order supply chain system

Physica Scripta ◽

10.1088/1402-4896/ac1fad ◽

2021 ◽

Vol 96 (12) ◽

pp. 124017

Author(s):

Ziyi Liu ◽

Hadi Jahanshahi ◽

J F Gómez-Aguilar ◽

G Fernandez-Anaya ◽

J Torres-Jiménez ◽

...

Keyword(s):

Supply Chain ◽

Adaptive Control ◽

Fractional Order ◽

Control Technique ◽

Supply Chain System ◽

Fuzzy Adaptive Control ◽

Chain System ◽

Fuzzy Adaptive

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Research on a Navigating Hierarchy Model of Aircraft Manufacturing Supply Chain

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.160-162.464 ◽

2010 ◽

Vol 160-162 ◽

pp. 464-469

Author(s):

Li Lan Liu ◽

Shuai Tian ◽

Xue Hua Sun ◽

Tao Yu

Keyword(s):

Supply Chain ◽

Manufacturing Industry ◽

Supply Chain System ◽

Complex Product ◽

Chain System ◽

Aircraft Manufacturing ◽

Manufacturing Supply Chain ◽

Hierarchy Model ◽

Two Factors ◽

Advanced Model

Aircraft is a complex product, and the Supply-Chain System of Aircraft Manufacturing has many characters which containing hierarchy structure, wide contents in each level, complex relationship between providers etc. So it has a great significance to do research on this. After studying the Kleinberg model and analyzing the characters of providers’ data in Aircraft Manufacturing industry, advanced changes of the Kleinberg model are made, and also the data of Supply-Chain of Aircraft Manufacturing is projected to circle structure, base on these two factors a advanced hierarchical navigable Kleinberg model is proposed, it is more suitable for the Aircraft Manufacturing Supply Chain and its structure is corresponding with the structure of Aircraft Manufacturing Supply Chain. From this advanced model we can do easier research on Supply-Chain System of Aircraft Manufacturing than Kleinberg model.

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Control and synchronization of hyperchaos in digital manufacturing supply chain

Applied Mathematics and Computation ◽

10.1016/j.amc.2020.125646 ◽

2021 ◽

Vol 391 ◽

pp. 125646

Author(s):

Lizhao Yan ◽

Jian Liu ◽

Fei Xu ◽

Kok Lay Teo ◽

Mingyong Lai

Keyword(s):

Supply Chain ◽

Digital Manufacturing ◽

Manufacturing Supply Chain ◽

Control And Synchronization

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Systems dynamics modelling of a manufacturing supply chain system

Simulation Modelling Practice and Theory ◽

10.1016/j.simpat.2007.09.007 ◽

2007 ◽

Vol 15 (10) ◽

pp. 1338-1355 ◽

Cited By ~ 67

Author(s):

Mustafa Özbayrak ◽

Theopisti C. Papadopoulou ◽

Melek Akgun

Keyword(s):

Supply Chain ◽

Systems Dynamics ◽

Supply Chain System ◽

Chain System ◽

Manufacturing Supply Chain ◽

Dynamics Modelling

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Characteristic Analysis of Fractional-Order Memristor-Based Hypogenetic Jerk System and Its DSP Implementation

Electronics ◽

10.3390/electronics10070841 ◽

2021 ◽

Vol 10 (7) ◽

pp. 841

Author(s):

Chuan Qin ◽

Kehui Sun ◽

Shaobo He

Keyword(s):

Lyapunov Exponent ◽

Fractional Order ◽

Digital Signal Processor ◽

Adomian Decomposition Method ◽

Digital Signal ◽

Maximum Lyapunov Exponent ◽

Characteristic Analysis ◽

Coexisting Attractors ◽

Dsp Implementation ◽

Adomian Decomposition

In this paper, a fractional-order memristive model with infinite coexisting attractors is investigated. The numerical solution of the system is derived based on the Adomian decomposition method (ADM), and its dynamic behaviors are analyzed by means of phase diagrams, bifurcation diagrams, Lyapunov exponent spectrum (LEs), dynamic map based on SE complexity and maximum Lyapunov exponent (MLE). Simulation results show that it has rich dynamic characteristics, including asymmetric coexisting attractors with different structures and offset boosting. Finally, the digital signal processor (DSP) implementation verifies the correctness of the solution algorithm and the physical feasibility of the system.

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Negotiation Model in a Multi-Agent Supply Chain System for the Crisis Management

13th IFAC Symposium on Information Control Problems in Manufacturing ◽

10.3182/20090603-3-ru-2001.00169 ◽

2009 ◽

Author(s):

Zgaya, Hayfa

Keyword(s):

Supply Chain ◽

Crisis Management ◽

Supply Chain System ◽

Negotiation Model ◽

Chain System ◽

Multi Agent

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Implementation of fractional optimal control problems in real-world applications

Fractional Calculus and Applied Analysis ◽

10.1515/fca-2020-0088 ◽

2020 ◽

Vol 23 (6) ◽

pp. 1783-1796

Author(s):

Neelam Singha

Keyword(s):

Optimal Control ◽

Fractional Order ◽

Adomian Decomposition Method ◽

Necessary Optimality Conditions ◽

Order Model ◽

Fractional Optimal Control ◽

Adomian Decomposition ◽

Real World Applications ◽

Fractional Optimal Control Problems ◽

And Control

Abstract In this article, we aim to analyze a mathematical model of tumor growth as a problem of fractional optimal control. The considered fractional-order model describes the interaction of effector-immune cells and tumor cells, including combined chemo-immunotherapy. We deduce the necessary optimality conditions together with implementing the Adomian decomposition method on the suggested fractional-order optimal control problem. The key motive is to perform numerical simulations that shall facilitate us in understanding the behavior of state and control variables. Further, the graphical interpretation of solutions effectively validates the applicability of the present analysis to investigate the growth of cancer cells in the presence of medical treatment.

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A Model of Waste Price in a Symbiotic Supply Chain Based on Stackelberg Algorithm

Sustainability ◽

10.3390/su13041740 ◽

2021 ◽

Vol 13 (4) ◽

pp. 1740

Author(s):

Cheng Che ◽

Xiaoguang Zhang ◽

Yi Chen ◽

Liangyan Zhao ◽

Zhihong Zhang

Keyword(s):

Sensitivity Analysis ◽

Supply Chain ◽

Comparative Analysis ◽

Power Structure ◽

Income Level ◽

Power Structures ◽

Optimal Price ◽

Supply Chain System ◽

Chain System ◽

Revenue Model

By establishing a two-level symbiotic supply chain system consisting of one supplier and one manufacturer, we use Stackelberg method to analyze the optimal price and revenue model of supplier and manufacturer in the symbiotic supply chain under two power structures in which the supplier and manufacturer are dominant respectively, and analyze the influence of the degree of symbiosis and power structure on the model. Through comparative analysis, we find that: There is a relationship between the income level and the degree of symbiosis in the symbiotic supply chain. The change of power structure will affect the relative benefits of suppliers and manufacturers in the symbiotic supply chain. The manufacturer’s expected unit product revenue will affect the supply chain revenue when the manufacturer is dominant. Finally, the sensitivity analysis of relevant parameters is carried out through an example analysis, and the validity of the conclusion is verified. This paper has a guiding significance for the behavior of enterprises in the cogeneration supply chain.

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