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Mathematical Modeling and Optimization for Complex Systems of Economic and...
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Mathematical Modeling and Optimization for Complex Systems of Economic and Financial Supply Chains

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Dynamical Systems".

Deadline for manuscript submissions: closed (31 December 2023) | Viewed by 6700

Special Issue Editors

Prof. Dr. Junhai Ma

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Guest Editor
College of Management and Economics, Tianjin University, Tianjin 300072, China
Interests: modeling and control of complex economic and financial system; reconstruction and prediction technology of chaotic economic and financial time series; dynamic pricing, operating and coordination of supply chain system
Prof. Dr. Zengqiang Chen

E-Mail Website
Guest Editor
Department of Information Institute, Nankai University, Tianjin 300072, China
Interests: modeling and control of complex system
Special Issues, Collections and Topics in MDPI journals
Prof. Dr. Ruguo Fan

E-Mail Website
Guest Editor
Economics and Management School, Wuhan University, Wuhan 430072, China
Interests: theoretical research and practical application ability in complex system theory, evolutionary game, complexity management and other fields
Dr. Fang Wu

E-Mail Website
Guest Editor
Management School, Tianjin Normal University, Tianjin 300387, China
Interests: modeling and control of complex economic and financial systems; dynamic pricing, operating and coordination of supply chain system
Dr. Yang Liu

E-Mail Website
Guest Editor
College of Engineering, Mathematics and Physical Sciences, University of Exeter, Exeter EX4 4QF, UK
Interests: non-linear dynamics and control; non-smooth dynamical systems; micro-robots; capsule endoscopy; detection of early bowel cancer; colonoscopy

Special Issue Information

Dear Colleagues,

The international economic situation and supply chain systems are facing great challenges in the post-pandemic era. These challenges have demonstrated that the effective control of industrial supply chains in the context of environmental protection and multi-factor market disruptions is an important issue. This Special Issue concentrates on the inherent complexity and evolution trends of the economy and supply chain systems in the context of carbon emission reduction in the post-pandemic era. Discrete dynamics theory and evolutionary game theory have certain applicability and advantages in studying problems such as long-term optimal decisions, local and global stability, and bifurcation analysis in discrete-time models. Therefore, it is hoped that more scholars will conduct research and innovation in these fields.

Toward this end, we invite scholars who have contributed to this area to share their latest research results related to the topics below:

  • Analysis of discrete dynamic systems and their complexity in social management systems.
  • Research on complex systems of economy and finance and their evolution analysis.
  • Analysis and explanation of long-term game strategy with chaos theory and bifurcation theory.
  • Study of optimal decisions in dynamic games among supply chain members.
  • Lyapunov stability analysis of supply chain systems.
  • Research on the local and global dynamics about the equilibrium point.
  • Local and global bifurcation analysis of discrete-time supply-chain models.
  • Chaos and bifurcation control strategies under multi-factor disruptions.

Prof. Dr. Junhai Ma
Prof. Dr. Zengqiang Chen
Prof. Dr. Ruguo Fan
Dr. Fang Wu
Dr. Yang Liu
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • dynamic system
  • social management system
  • complex system of economy and finance
  • chaos theory
  • bifurcation theory
  • dynamic game
  • supply chain
  • Lyapunov stability analysis of supply chain system
  • local and global dynamics
  • local and global bifurcation
  • discrete-time supply chain models

Published Papers (5 papers)

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Research

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20 pages, 7736 KiB  
Article
Does a New Electric Vehicle Manufacturer Have the Incentive for Battery Life Investment? A Study Based on the Game Framework
by Zongxian Wang, Xiao Li, Weihua Liang and Junhai Ma
Mathematics 2023, 11(16), 3551; https://doi.org/10.3390/math11163551 - 17 Aug 2023
Viewed by 774
Abstract
Motivated by the electric vehicle battery life performance, we studied the optimal investment decision-making behaviour of duopoly automakers. Based on the framework of game theory, this paper explores the influence of various parameters in the static game and dynamic game on the results, [...] Read more.
Motivated by the electric vehicle battery life performance, we studied the optimal investment decision-making behaviour of duopoly automakers. Based on the framework of game theory, this paper explores the influence of various parameters in the static game and dynamic game on the results, in combination with consumers’ preference for the battery life of electric vehicles. In the static game, a smaller investment coefficient is more beneficial to a firm that adopts an investment strategy rather than a firm that does not. When the investment coefficient increases, the difference between the two manufacturers will become smaller. The change of parameters in the dynamic game system may lead to complex dynamic phenomena, and the system will experience period-doubling bifurcation and N-S bifurcation from a stable state into a chaotic state. It will also significantly impact the basins of attraction, which affect the decision-makers’ initial choice. Consequently, we can use the control method to return the unstable system to stability. Based on these findings, some management insights and suggestions are presented. Full article
(This article belongs to the Special Issue Mathematical Modeling and Optimization for Complex Systems of Economic and Financial Supply Chains)
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17 pages, 5695 KiB  
Article
Risk Diffusion and Control under Uncertain Information Based on Hypernetwork
by Ping Yu, Zhiping Wang, Yanan Sun and Peiwen Wang
Mathematics 2022, 10(22), 4344; https://doi.org/10.3390/math10224344 - 18 Nov 2022
Cited by 1 | Viewed by 1260
Abstract
During the height of the COVID-19 epidemic, production lagged and enterprises could not deliver goods on time, which will bring considerable risks to the supply chain system. Modeling risk diffusion in supply chain networks is important for prediction and control. To study the [...] Read more.
During the height of the COVID-19 epidemic, production lagged and enterprises could not deliver goods on time, which will bring considerable risks to the supply chain system. Modeling risk diffusion in supply chain networks is important for prediction and control. To study the influence of uncertain information on risk diffusion in a dynamic network, this paper constructs a dynamic evolution model based on a hypernetwork to study risk diffusion and control under uncertain information. First, a dynamic evolution model is constructed to represent the network topology, which includes the addition of links, rewiring of links, entry of nodes, and the exit of outdated nodes that obey the aging principle. Then, the risk diffusion scale is discussed with the Microscopic Markovian Chain Approach (MMCA), and the risk threshold is analyzed. Finally, the consistency of Monte Carlo (MC) simulation and MMCA is verified by MATLAB, and the influence of each parameter on the risk diffusion scale and risk threshold is tested. The results show that reducing the cooperation and production during the risk period, declining the attenuation factor, enhancing the work efficiency of the official media, and increasing the probability of the exit of outdated nodes in the supply chain networks will increase the risk threshold and restrain the risk diffusion. Full article
(This article belongs to the Special Issue Mathematical Modeling and Optimization for Complex Systems of Economic and Financial Supply Chains)
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19 pages, 489 KiB  
Article
A Hybrid Model Based on SEM and Fuzzy TOPSIS for Supplier Selection
by Hongyi Sun, Bingqian Zhang and Wenbin Ni
Mathematics 2022, 10(19), 3505; https://doi.org/10.3390/math10193505 - 26 Sep 2022
Cited by 6 | Viewed by 1343
Abstract
How to select the right suppliers has become a crucial strategic decision for manufacturing companies facing various performance measures. This study proposed a hybrid selection model integrating factor analysis, structural equation modeling (SEM), and the fuzzy Technique for Order Performance by Similarity to [...] Read more.
How to select the right suppliers has become a crucial strategic decision for manufacturing companies facing various performance measures. This study proposed a hybrid selection model integrating factor analysis, structural equation modeling (SEM), and the fuzzy Technique for Order Performance by Similarity to Ideal Solution to (TOPSIS) design a supplier selection model. The study distilled 70 original selection criteria from the relevant literature and identified eight main influencing factors based on factor analysis. The relevance of factors was evaluated by SEM and the performance of suppliers assessed by fuzzy TOPSIS. The model was applied in a manufacturing company in China to verify its practical significance. By combining different methods, the model can select relevant and important supplier selection criteria and include unquantifiable, incomplete, and vague information in the decision model. The hybrid model merges the advantages of each method and takes into account of uncertainty associated with supplier selection process. Full article
(This article belongs to the Special Issue Mathematical Modeling and Optimization for Complex Systems of Economic and Financial Supply Chains)
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18 pages, 1166 KiB  
Article
MSDA-NMF: A Multilayer Complex System Model Integrating Deep Autoencoder and NMF
by Xiaoming Li, Wei Yu, Guangquan Xu and Fangyuan Liu
Mathematics 2022, 10(15), 2750; https://doi.org/10.3390/math10152750 - 03 Aug 2022
Viewed by 1512
Abstract
In essence, the network is a way of encoding the information of the underlying social management system. Ubiquitous social management systems rarely exist alone and have dynamic complexity. For complex social management systems, it is difficult to extract and represent multi-angle features of [...] Read more.
In essence, the network is a way of encoding the information of the underlying social management system. Ubiquitous social management systems rarely exist alone and have dynamic complexity. For complex social management systems, it is difficult to extract and represent multi-angle features of data only by using non-negative matrix factorization. Existing deep NMF models integrating multi-layer information struggle to explain the results obtained after mid-layer NMF. In this paper, NMF is introduced into the multi-layer NMF structure, and the feature representation of the input data is realized by using the complex hierarchical structure. By adding regularization constraints for each layer, the essential features of the data are obtained by characterizing the feature transformation layer-by-layer. Furthermore, the deep autoencoder and NMF are fused to construct the multi-layer NMF model MSDA-NMF that integrates the deep autoencoder. Through multiple data sets such as HEP-TH, OAG and HEP-TH, Pol blog, Orkut and Livejournal, compared with 8 popular NMF models, the Micro index of the better model increased by 1.83, NMI value increased by 12%, and link prediction performance improved by 13%. Furthermore, the robustness of the proposed model is verified. Full article
(This article belongs to the Special Issue Mathematical Modeling and Optimization for Complex Systems of Economic and Financial Supply Chains)
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Review

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16 pages, 7230 KiB  
Review
Research Trend, Logical Structure and Outlook on Complex Economic Game
by Fang Wu and Junhai Ma
Mathematics 2023, 11(5), 1179; https://doi.org/10.3390/math11051179 - 27 Feb 2023
Cited by 2 | Viewed by 1170
Abstract
Diseases, natural disasters, and other emergencies force the economy and management system to confront nonlinear and random changes. In recent years, complexity science has attracted much attention. Complex economics believes that economic models are dynamic, stochastic, and unpredictable, and that equilibrium and stability [...] Read more.
Diseases, natural disasters, and other emergencies force the economy and management system to confront nonlinear and random changes. In recent years, complexity science has attracted much attention. Complex economics believes that economic models are dynamic, stochastic, and unpredictable, and that equilibrium and stability are temporary. It is changing traditional economic theory. Based on complexity theory, bibliometric theory, nonlinear theory, and game theory, combined with knowledge graph methods, the article analyzed 200 papers from the Web of Science, covering the period 1998–2022. This research presents the research structure and theoretical evolution of complex economic games through visualization techniques. The clusters of keywords and the logical relationships between them are discussed. Then, the analysis of hot keywords and co-occurrence keywords is carried out. Finally, future research directions for complex economic games are given: (1) the market complexity that comes with intelligent expectations, (2) complex characteristics of the data trading market, and (3) complex risk control for emergencies. The innovation lies in the use of data analysis software combined with manual knowledge to overcome the shortcomings of inflexible software analysis, as well as weak manual storage and computation. This research builds a theoretical foundation for grasping the research direction and selecting advanced topics. Full article
(This article belongs to the Special Issue Mathematical Modeling and Optimization for Complex Systems of Economic and Financial Supply Chains)
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