Guo Jianquan, Wang Guanlan, Gen Mitsuo
Sino-German College, University of Shanghai for Science and Technology, Shanghai, China.
Business School, University of Shanghai for Science and Technology, Shanghai, China.
Math Biosci Eng. 2022 Jun 30;19(9):9520-9549. doi: 10.3934/mbe.2022443.
Under the uncertain market demand and quality level, a total profit model of green closed-loop supply chain system (GCL-SCS) considering corporate environmental responsibility (CER) and government differential weight subsidy (GDWS) is constructed. Based on incentive-compatibility theory, the optimal subsidy allocation policy and green investment level were explored. Fuzzy chance-constrained programming (FCCP) is used to clarify the uncertainty factors of this model; while genetic algorithm (GA) and CPLEX are used to find and compare a calculating example's approximate optimal solution about this model. The main calculating results indicate that: (1) Enterprises can make optimal recycling, production and sales strategies according to different potential demand; (2) Without government subsidy, enterprises' higher green investment level will reduce their average gross profit, increase the quality level of recycled products and decrease the recycling rate, hence reduce their environmental protection willingness; (3) Based on incentive-compatibility theory, when government subsidy weight is set as 0.34~0.41 for consumers, enterprises' higher green investment level will enhance their average gross profit, reduce the quality level of recycled products and increase the recycling rate, which will improve their environmental protection willingness; (4) Under uncertain environment, the combination of reasonable government subsidy policy and enterprises green investment can make up for the defect of enterprises green investment alone, maximize utilities of government and enterprises, and optimize the green closed loop supply chain.
在市场需求和质量水平不确定的情况下，构建了考虑企业环境责任（CER）和政府差别权重补贴（GDWS）的绿色闭环供应链系统（GCL-SCS）总利润模型。基于激励兼容理论，探讨了最优补贴分配政策和绿色投资水平。运用模糊机会约束规划（FCCP）来厘清该模型的不确定性因素；同时利用遗传算法（GA）和CPLEX来求解并比较一个算例关于此模型的近似最优解。主要计算结果表明：（1）企业可根据不同的潜在需求制定最优回收、生产和销售策略；（2）在无政府补贴时，企业较高的绿色投资水平会降低其平均毛利润，提高回收产品质量水平并降低回收率，进而降低其环保意愿；（3）基于激励兼容理论，当政府对消费者的补贴权重设定为0.34~0.41时，企业较高的绿色投资水平会提高其平均毛利润，降低回收产品质量水平并提高回收率，这将提升其环保意愿；（4）在不确定环境下，合理的政府补贴政策与企业绿色投资相结合能够弥补企业单独进行绿色投资的缺陷，使政府和企业的效用最大化，并优化绿色闭环供应链。
