模糊批量生产计划问题的可信性规划模型与算法  

Credibility Programming Approach to Lot Sizing Production Planning in Fuzzy Environment

作　　者：白进达[1] 曹喆[2] 张东凯[3] 赵建华[3] 

机构地区：[1]河北化工医药职业技术学院,河北石家庄050026 [2]清华大学数学科学系,北京100084 [3]石家庄学院数学系,河北石家庄050035

出　　处：《模糊系统与数学》2007年第2期113-120,共8页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(60425309)

摘　　要：描述模糊单位利润、模糊生产能力以及模糊需求下的批量生产计划,并应用可信性规划建立了模型。当模糊变量是梯形模糊数时,我们将模糊模型转化为确定意义下的模型。为了求解优化模型,我们设计了基于模糊模拟的遗传算法。最后,通过一个数值例子说明算法的有效性。Production planning with fuzzy unit profits, fuzzy capacities and fuzzy demands is descried, and an optimization model is formulated by using credibility programming. Then some crisp equivalents are derived when fuzzy variables are characterized by trapezoidal fuzzy numbers. Furthermore, a fuzzy simulation-based genetic algorithm is designed for solving the proposed fuzzy programming model. Finally, a numerical example is provided for illustrating the effectiveness of algorithm.

关 键 词：生产计划 模糊规划 可信性测度 遗传算法 

分 类 号：O221[理学—运筹学与控制论]