模糊批量生产计划问题的机会约束规划  

Fuzzy Chance-Constrained Programming for Lot Sizing Production Planning

作　　者：赵建民[1] 白进达[2] 蔡会萍[3] 赵建华[3] 

机构地区：[1]军械工程学院装备指挥与管理系,石家庄050003 [2]河北化工医药职业技术学院信息系,石家庄050026 [3]石家庄学院数学系,石家庄050035

出　　处：《数学的实践与认识》2009年第4期13-20,共8页Mathematics in Practice and Theory

基　　金：国家自然科学基金的资助项目(No.60425309);河北省专家出国培训项目资助;石家庄学院自然科学基金的资助项目

摘　　要：描述了模糊单位利润、模糊生产能力以及模糊需求下的批量生产计划,并应用模糊机会约束规划规划建立了模型.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 fuzzy chance-constrained programming. Then the crisp equivalent 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 模糊机会约束规划 可信性测度 遗传算法 

分 类 号：O221[理学—运筹学与控制论] O159[理学—数学]