关键词: 集约生产计划, 随机机会约束规划, 模糊优化, 不确定等价理论

Abstract: The multi-period and multi-product aggregate production planning problem with fuzzy demands and stochastic capacities constraints under uncertain environment was studied.Based on the consideration of production tasks cross the stages，the extended hybrid optimization model with stochastic and fuzzy constraints was constructed.The stochastic chance-constrainted programming，the uncertainty equivalence principal and Lingo software were used to transform and solve the model.The case study proved the effectiveness of the method and the model.It provided evidence for decision makers with production plan decision under stochastic and fuzzy environment.

Key words: aggregate production planning, stochastic chance-constrained programming, fuzzy optimization, uncertainty equivalence theory