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This paper aims to explore the effect of different government subsidy decisions and the differences between the consequences of these decisions when supply chain members engage in cooperative green innovation through cost-sharing arrangements.

This paper investigates the optimal decisions for green supply chains under two types of subsidies, including subsidies for green innovation research and development (R&D) costs and subsidies for consumers, by integrating game theory with numerical simulation.

The optimal R&D cost-sharing ratio is found to be 2/3 for manufacturers and 1/3 for retailers. Under any subsidy policy, the supply chain can achieve maximum total profit. When the supply chain adopts the optimal R&D cost-sharing ratio, subsidies for green innovation R&D costs prove to be the most effective in increasing the supply chain’s profit. However, from the perspective of total social welfare, the analysis reveals that government subsidies to consumers are more beneficial for promoting overall social welfare.

Previous studies on green supply chain decisions have primarily focused on either government subsidies or corporate cost sharing in isolation. In contrast, this study combines both government subsidies and cost sharing within a unified framework for a more comprehensive analysis. Additionally, this paper examines the impact of government subsidies on supply chain cost-sharing decisions and their effect on overall social welfare while considering the presence of cost sharing and using the combination of theoretical modeling and simulation analysis.

Denim, a common fade fabric, can present different degrees of fade under different washing conditions. The phenomenon is similar to the washing efficiency. This study aims to discuss the relationship between impact factors and washing efficiency as well as the color fastness.

JMP software was used to design different experiments and 40 experimental groups were obtained. Then Statistical Package for the Social Sciences was used to analyze the results about washing efficiency and chromatic aberration.

Results showed that washing temperature, washing time and rotation speed have an effect on color fastness after washing in turn. In a certain range, when washing temperature, washing time or rotation speed increases, color fastness gradually increases as well. These three washing parameters work on washing efficiency as well. After setting and analyzing the mathematical model, the R² between the three washing parameters and washing efficiency is 0.855 and the R² between the three washing parameters and the post-wash chromatic is 0.849. There is a correlation between “Washing Efficiency of Sebum RM (P)” and “Post-wash Chromatic aberration (Q)”.

Denim could be used in some tests in laboratories instead of sebum standard stain cloth.

This paper provides an indirect research and feasible method for exploring a new object instead of the standard pollution cloth in the test of related textile study in the future.