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随机模糊需求报童问题

胡劲松 刘芳霞 徐元吉 徐如乾 周岩

运筹与管理2012,Vol.21Issue(3):67-71,5.
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

胡劲松 1刘芳霞 1徐元吉 2徐如乾 1周岩1

作者信息

  • 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
  • 折叠

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)

运筹与管理

OA北大核心CHSSCDCSCDCSSCICSTPCD

1007-3221

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