模糊供应链批量生产计划问题  

Fuzzy supply chain problem for lot sizing production planning

作　　者：赵建华[1] 白进达[2] 魏喜凤[1] 屈捷[1] 

机构地区：[1]石家庄学院数学系,石家庄050035 [2]河北化工医药职业技术学院信息系,石家庄050026

出　　处：《系统工程与电子技术》2007年第8期1299-1304,共6页Systems Engineering and Electronics

基　　金：国家自然科学基金资助课题(60425309);河北省教育厅自然科学研究计划项目(Z2005114)

摘　　要：描述了模糊单位生产成本、模糊生产能力以及模糊需求下的分布式多工厂供应链批量生产计划问题。根据不同的决策准则建立了模糊期望值模型和模糊相关机会约束规划模型。当模糊变量是三角模糊数时,讨论了模糊规划模型的清晰等价形式,并采用遗传算法给出了求解模型的具体步骤。最后通过一个数值例子验证了方法的有效性。A production planning problem for a supply chain of multi-location plants with fuzzy unit production costs, fuzzy capacities and fuzzy demands is mainly investigated. Then two new models are formulated as the expected value model and the dependent-chance programming model according to various decision criteria. After that, the crisp equivalences are also discussed for different models when fuzzy variables are characterized by triangular fuzzy numbers, and the procedure is given to solve the deterministic models based on the genetic algorithm. Finally, a numerical example is provided for illustrating the effectiveness of the method.

关 键 词：生产计划 供应链 模糊规划 遗传算法 

分 类 号：O221[理学—运筹学与控制论]