随机模糊需求下的自由分布报童问题研究  

Research on distribution-free newsboy problem with random-fuzzy demand

作　　者：赵明[1] 周永务[2] 

机构地区：[1]安徽交通职业技术学院管理工程系,安徽合肥230051 [2]华南理工大学工商管理学院,广东广州510006

出　　处：《合肥工业大学学报（自然科学版）》2011年第6期931-934,共4页Journal of Hefei University of Technology：Natural Science

基　　金：国家自然科学基金资助项目(70771034)

摘　　要：文章在需求是随机模糊变量的假设下,将经典报童问题扩展为基于随机模糊需求的自由分布报童模型;根据最大隶属原则,将模糊非线性规划问题转化为确定型约束极值问题,并用拉格朗日乘子法寻求最优解;最后,通过最优解的若干性质,分析了需求的随机模糊性对最优订货量和总利润的影响,并说明本模型是对经典报童问题的一种拓展。The classic newsboy problem is extended to the distribution-free newsboy problem based on random-fuzzy demand with the assumption that the demand is a random-fuzzy variable.The fuzzy nonlinear programming problem is transformed into the deterministic constrained extreme-value problem according to the principle of the maximum membership grade,and the optimal solutions are obtained by the Lagrangian multiplier method.Based on some properties of the optimal solutions,the effect of the demand＇s random-fuzziness on the optimal ordering quantity and the total profit is analyzed and the presented model is proved to be an extension of the classic newsboy problem.

关 键 词：随机模糊需求 自由分布报童问题 最大隶属原则 

分 类 号：O227[理学—运筹学与控制论]