基于垄断环境的两时期联合定价与再制造决策

由于再制造能够降低生产成本、提高竞争力，许多企业开始积极控制产品的回收再制造过程。本文建立了可再制造性具有事前投入且内生决定下的两时期决策模型，应用拉格朗日方法求解得到最优的回收再制造率及两时期的产品定价。结果表明，当再制造品相对于新产品生产成本节约上升时，制造商应降低第1时期的产品价格，提高可回收再制造率，并提高当期产量；第2时期的价格及总产量决策与是否开展回收再制造无关，但产品组合中再制造品所占比重与再制造所带来的生产成本节约正相关。最后，通过数值模拟对模型结果进行检验。

Two-period co-pricing and remanufacturing in monopoly environment

As remanufaeturing might cause manufacturing cost to decrease so to improve its competition power, companies begin to control collecting and remanufaeturing positively. The paper set up a two-period model when remanufacturing level was endogenous and needs beforehand investment. With Lagrange method, we derived the best collecting and remanufacturing rate and price decision in two periods. The result indicates that when the manufacturing cost of remanufacturing product relative to new one moves up, manufacturer will reduce the price and increase remanufacturing rate and output in the first period. The price and total output in the second period are independent of remanufacturing, but the proportion of remanufacturing product in combination is related to remanufacture saving positively. Finally, we use a numerical example to verify the result.