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以单一制造商为研究对象,在需求不确定且回收量依赖于需求量的环境下,构建基于期望利润最大化的数学模型,给出最优的回收率、新品和再制造品生产量及销售价格,并通过解析和数值仿真分析了市场规模、单位节约成本、回收成本的规模参数和需求不确定性对最优策略的影响.结果表明:市场规模增大,销售价格、回收率、生产量和再制造量都随之增大,而新品生产量先增大后减小;单位节约成本越大,回收成本的规模参数越小时,进行再制造就越有利;需求不确定性增加时,进行再制造更有利,可以降低由需求不确定性所造成的损失.
Taking the single manufacturer as the research object, the mathematical model based on the expected profit maximization is constructed under the condition of the uncertainty of demand and the quantity of recovery dependent on the demand. The optimal recovery rate, production and sales of new and remanufactured products The paper analyzes the influence of market size, cost-saving per unit, cost-recovery scale and demand uncertainty on the optimal strategy through the analysis and numerical simulation.The results show that: the increase of market size, the sales price, the recovery rate, the production volume And remanufacturing volume both increase, while the new production volume first increases and then decreases; unit cost savings greater, the smaller the size of the cost recovery parameters, the more favorable remanufacturing; when the demand uncertainty increases, Remanufacturing is more advantageous and can reduce losses caused by demand uncertainty.