Stability and Complexity Analysis of a Dual-Channel Closed-Loop Supply Chain with Delayed Decision under Government Intervention
This paper constructs a continuous dual-channel closed-loop supply chain (DCLSC) model with delayed decision under government intervention. The existence conditions of the local stability of the equilibrium point are discussed. We analyze the influence of delay parameters, the adjustment speed of wh...
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| Format: | Article |
| Language: | English |
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MDPI AG
2017-10-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/19/11/577 |
| _version_ | 1811278868188758016 |
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| author | Daoming Dai Fengshan Si Jing Wang |
| author_facet | Daoming Dai Fengshan Si Jing Wang |
| author_sort | Daoming Dai |
| collection | DOAJ |
| description | This paper constructs a continuous dual-channel closed-loop supply chain (DCLSC) model with delayed decision under government intervention. The existence conditions of the local stability of the equilibrium point are discussed. We analyze the influence of delay parameters, the adjustment speed of wholesale price, recovery rate of waste products, direct price, carbon quota subsidy, and carbon tax on the stability and complexity of model by using bifurcation diagram, entropy diagram, attractor, and time series diagram and so on. Besides, the delay feedback control method is adopted to control the unstable or chaotic system effectively. The main conclusions of this paper show that the variables mentioned above must be within a reasonable range. Otherwise, the model will lose stability or enter chaos. The government can effectively adjust manufacturers' profit through carbon tax and carbon quota subsidy, and encourage manufacturers to reduce carbon emissions and increase the remanufacturing of waste products. |
| first_indexed | 2024-04-13T00:43:14Z |
| format | Article |
| id | doaj.art-641ab75ea3a54ae6b6d523c22861b261 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-04-13T00:43:14Z |
| publishDate | 2017-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-641ab75ea3a54ae6b6d523c22861b2612022-12-22T03:10:05ZengMDPI AGEntropy1099-43002017-10-01191157710.3390/e19110577e19110577Stability and Complexity Analysis of a Dual-Channel Closed-Loop Supply Chain with Delayed Decision under Government InterventionDaoming Dai0Fengshan Si1Jing Wang2School of Management Science and Engineering, Anhui University of Finance and Economics, Bengbu 233030, ChinaSchool of Management Science and Engineering, Anhui University of Finance and Economics, Bengbu 233030, ChinaFaculty of Science, Bengbu University, Bengbu 233030, ChinaThis paper constructs a continuous dual-channel closed-loop supply chain (DCLSC) model with delayed decision under government intervention. The existence conditions of the local stability of the equilibrium point are discussed. We analyze the influence of delay parameters, the adjustment speed of wholesale price, recovery rate of waste products, direct price, carbon quota subsidy, and carbon tax on the stability and complexity of model by using bifurcation diagram, entropy diagram, attractor, and time series diagram and so on. Besides, the delay feedback control method is adopted to control the unstable or chaotic system effectively. The main conclusions of this paper show that the variables mentioned above must be within a reasonable range. Otherwise, the model will lose stability or enter chaos. The government can effectively adjust manufacturers' profit through carbon tax and carbon quota subsidy, and encourage manufacturers to reduce carbon emissions and increase the remanufacturing of waste products.https://www.mdpi.com/1099-4300/19/11/577dual-channel closed-loop supply chaingovernment interventiondelayed decisionentropystabilitycomplexity |
| spellingShingle | Daoming Dai Fengshan Si Jing Wang Stability and Complexity Analysis of a Dual-Channel Closed-Loop Supply Chain with Delayed Decision under Government Intervention Entropy dual-channel closed-loop supply chain government intervention delayed decision entropy stability complexity |
| title | Stability and Complexity Analysis of a Dual-Channel Closed-Loop Supply Chain with Delayed Decision under Government Intervention |
| title_full | Stability and Complexity Analysis of a Dual-Channel Closed-Loop Supply Chain with Delayed Decision under Government Intervention |
| title_fullStr | Stability and Complexity Analysis of a Dual-Channel Closed-Loop Supply Chain with Delayed Decision under Government Intervention |
| title_full_unstemmed | Stability and Complexity Analysis of a Dual-Channel Closed-Loop Supply Chain with Delayed Decision under Government Intervention |
| title_short | Stability and Complexity Analysis of a Dual-Channel Closed-Loop Supply Chain with Delayed Decision under Government Intervention |
| title_sort | stability and complexity analysis of a dual channel closed loop supply chain with delayed decision under government intervention |
| topic | dual-channel closed-loop supply chain government intervention delayed decision entropy stability complexity |
| url | https://www.mdpi.com/1099-4300/19/11/577 |
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