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Entropy 2017, 19(11), 577; https://doi.org/10.3390/e19110577

Stability and Complexity Analysis of a Dual-Channel Closed-Loop Supply Chain with Delayed Decision under Government Intervention

1
School of Management Science and Engineering, Anhui University of Finance and Economics, Bengbu 233030, China
2
Faculty of Science, Bengbu University, Bengbu 233030, China
*
Author to whom correspondence should be addressed.
Received: 21 September 2017 / Revised: 17 October 2017 / Accepted: 21 October 2017 / Published: 26 October 2017
(This article belongs to the Section Complexity)
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Abstract

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. View Full-Text
Keywords: dual-channel closed-loop supply chain; government intervention; delayed decision; entropy; stability; complexity dual-channel closed-loop supply chain; government intervention; delayed decision; entropy; stability; complexity
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Dai, D.; Si, F.; Wang, J. Stability and Complexity Analysis of a Dual-Channel Closed-Loop Supply Chain with Delayed Decision under Government Intervention. Entropy 2017, 19, 577.

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