摘要
针对不确定环境下的虚拟企业生产计划的特点,建立了其详细的多目标优化数学模型。当模型中的模糊变量是梯形模糊数时,可利用可行性规划理论将模糊模型转化为清晰等价式,并采用改进的NSGA-Ⅱ算法给出了求解模型的具体步骤,最后通过一个数值算例验证了算法的有效性。
To deal with the special features of virtual enterprise＇ s production planning,taking into account the uncertain environment, a mathematical model is proposed, which is a detailed and multi-objecive optimization model.The fuzzy model is translated into the crisp equivalence by the reliability programme theory, when fuzzy varibles are characterized by trapezoid fuzzy numbers,and the procedure is given to solve the deterministic models based on the improved NSGA- Ⅱ algorithm.Finally,a numerical example is provided for illustrating the effectiveness of the method.
出处
《组合机床与自动化加工技术》
北大核心
2009年第1期97-100,共4页
Modular Machine Tool & Automatic Manufacturing Technique
基金
国家自然科学基金资助项目(70572060)
教育部博士点基金(20040533057)
关键词
虚拟企业
生产计划
多目标优化
NSGA-Ⅱ算法
virtual enterprise
production planning
multi-objecive optimization
NSGA-Ⅱ algorithm
