摘要
研究基于模糊环境下的集约生产计划问题,并设计了带有惩罚因子的模糊优化模型,以实现生产费用和惩罚费用之和最小.通过模糊变量和模糊等式定义的描述,简化了模型,并给出机会约束规划方法进行模型求解的整体步骤.通过仿真结果和灵敏度分析,表明模型和方法的有效性,并为决策者在模糊环境下的决策提供支持.
Aggregate production planning with multi-product under fuzzy environment is studied and a fuzzy optimal model with penalty factor is proposed in order to find a kind of optimal combination and minimize the total cost and penalty cost. By means of fuzzy variables and equations＇ definition, the model of aggregate production planning with penalty coefficients can be simplified. An overall procedure using chance constraint programming is also introduced in this paper. The result and sensitivity analyses show that it can get a satisfactory solution and offers decision maker more flexible in making a reasonable plan under different criteria in fuzzy environment.
出处
《数学的实践与认识》
CSCD
北大核心
2006年第2期51-59,共9页
Mathematics in Practice and Theory
基金
国家自然科学基金(70471028
70431003)
教育部新世纪优秀人才支持计划(NCET-04-280)
教育部优秀青年教师资助计划
教育部科技研究重点项目(104064)
东北大学流程工业综合自动化教育部重点实验室
辽宁省自然科学基金(20022019)资助
关键词
集约生产计划
模糊需求量
模糊等式
惩罚费用
机会约束规划
灵敏度分析
aggregate product plan
fuzzy demand
fuzzy equation
penalty cost
chance constrained programming
sensitivity analyses
