基于可信性测度的连续模糊需求报童问题  

Newsboy Problem with Continuous Fuzzy Demand Based on Credibility Measure

作　　者：刘芳霞[1] 徐元吉[2] 徐如乾[1] 胡劲松[1] 

机构地区：[1]青岛大学管理科学与工程系,山东青岛266071 [2]浙江理工大学管理科学与工程系,浙江杭州310018

出　　处：《青岛大学学报（自然科学版）》2011年第1期53-58,共6页Journal of Qingdao University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(71071082);山东省自然科学基金项目(Y2008H07)

摘　　要：为获得连续模糊需求报童问题的最优订货量,基于模糊事件的可信性测度,推导了模糊销售量、缺货量和存货量的可信性分布函数以及期望销售量、缺货量和存货量的函数表达式。建立了模糊报童问题的期望利润模型。通过分析期望利润函数的性质,得出最优订货量应位于模糊需求的支集内。In order to obtain optimal order quantity of newsboy problem with continuous fuzzy demand, the credibility distributions and the expected functions of fuzzy sales volume, fuzzy shortage and fuzzy inventory quantity are derived based on the credibility measure of fuzzy event. The expected profit model of fuzzy newsboy problem is established. By analyzing the properties of the expected profit function, it can be concluded that the optimal order quantity locates in the support of fuzzy demands.

关 键 词：报童问题 模糊变量 可信性测度 库存 

分 类 号：F274[经济管理—企业管理]