生态环境恶化、自然资源短缺问题日益严峻,为减少企业对生态环境的负面影响,企业需改变和调整相关生产计划.本研究在考虑碳排放权交易机制、产品回收机制以及企业面临有限生产容量、工作时间和碳排放权配额的情形下,对多产品制造系统中产品生产计划问题进行了研究.在量-本-利分析的基础上,本研究提出了一个利润最大化模型来刻画生产优化问题.在该模型中,成本结构包括产品生产成本、产品持有或短缺成本、产品回收成本和碳成本;收入结构包括产品销售收入和产品回收收益.根据利润最大化模型和数值算例,本研究分析了企业最优生产和回收决策.同时,进一步探究了碳排放权交易机制和产品回收机制对产品产量、碳排放总量和利润总额的影响.结果表明,在碳排放权交易机制和产品回收机制下,较高的碳排放权价格可以激励企业生产绿色产品;产品回收机制有利于降低企业总碳排放量,增加企业利润.根据研究结论,本研究进一步提出了管理建议与未来研究方向.“,”With the deterioration of ecological environment and the shortage of natural resources, firms are forced to change and adjust their production planning along an environmentally friendly road to reduce the negative effects on the environment. This paper investigate the optimal production planning in a multi-product manufacturing system considering the product recycling mechanism and carbon cap and trade mechanism, in which a firm uses limited machine capacity, working time and carbon quotas to manufacture multiple products for fulfilling stochastic market demands. Based on the cost-volume-profit analysis, a profit maximization model is proposed to characterize the optimization problem. In this model, the cost structure consists of production cost, holding or shortage cost, recycling cost and carbon cost. The revenue structure consists of sales revenue and recycling benefits. According to the profit maximization model and the numerical example, the optimal production and recycling decisions are analyzed. Meanwhile, the effects of cap and trade mechanism and product recycling mechanism on production quantity, total carbon emissions and total profits are also investigated. The results indicate that under the carbon cap and trade mechanism and the product recycling mechanism, a higher carbon permit price can motivate manufacturers to produce green product, and that product recycling mechanism is beneficial to lower carbon emissions and increase the firm profit. Managerial insights and suggestions for future research are given.