Abstract: To solve manufacturing and remanufacturing lot sizing planning problems under the situation of hybrid production in multi-uncertain environment, a mixed integer programming model with constraints of inventory and production capacity was established. In this model, the discrete scenario set of know probability was used to describe returned products quantity and product demand's uncertainty, to describe the uncertainty of remanufacturing cost based on interval analysis, and to describe the uncertainty of remanufacturing rate with stochastic chance constrained programming. Satisfying demand ratio, operation cost and remanufacturing product rate were used as operation objects. Meanwhile, product differentiation was considered, and the strategy of one-way substitution was proposed to improve the flexibility of production planning. Adaptive mechanism was introduced in double chromosomes genetic algorithm to design solution for simulation example. The results showed the effectiveness and validity of proposed model.

Key words: remanufacturing, lot sizing production planning, uncertainty, product differentiation, objective programming, genetic algorithms

摘要： 针对多重不确定环境下制造/再制造混合生产场景中的批量计划问题，建立了库存和生产能力受限的混合整数规划模型。该模型分别采用已知概率的离散情景集合描述收回品数量和产品需求的不确定性，区间分析描述再制造成本的不确定性，以及随机机会约束描述再制造率的不确定性，并以需求满足率、运作成本和再制造产品率为运作目标，同时考虑再制造产品的差异，以单向替代策略增强生产计划的柔性。最后，将自适应机制引入双倍体遗传算法，设计了相应的求解过程，并对仿真算例进行了求解。计算结果表明，该计划模型和求解算法具有一定的有效性和实用性。

关键词: 再制造, 批量生产计划, 不确定性, 产品差异, 目标规划, 遗传算法