运筹与管理2012,Vol.21Issue(3):67-71,5.
随机模糊需求报童问题
Newsboy Problem with Random Fuzzy Demand
摘要
Abstract
Considering that demand takes on random fuzzy, a profit model under newsboy problem with random fuzzy demand is developed. By means of the credibility measure theory,its expected profit function is presented. Through the analysis of the expected profit function, the concavity of the function is revealed, and the existence and uniqueness of the optimal order quantity are also proved. A hybrid algorithm integrating the random fuzzy simulation and simultaneous perturbation stochastic approximation is designed to carry out the solution to the model. Finally,a numeral example is given to illustrate the validity of the hybrid algorithm.关键词
库存/报童问题/随机模糊模拟/SPSA/随机模糊变量Key words
inventory/ newsboy problem/ stochastic fuzzy simulation/ simultaneous perturbation stochastic approximation (SPSA) / random fuzzy variable分类
管理科学引用本文复制引用
胡劲松,刘芳霞,徐元吉,徐如乾,周岩..随机模糊需求报童问题[J].运筹与管理,2012,21(3):67-71,5.基金项目
国家自然科学基金资助项目(71071082) (71071082)
山东省自然科学基金项目(Y2008H07) (Y2008H07)