带有费用约束和广告投入的Newsboy模型  

A Newsboy Model with Budget Constrain and Advertising

作　　者：何柏英[1] 

机构地区：[1]合肥工业大学管理学院,安徽合肥230009

出　　处：《企业科技与发展（下半月）》2013年第1期67-70,共4页

基　　金：国家自然科学基金(70971035);安徽省软科学计划项目(12020503075)

摘　　要：文章假定产品的需求受广告的影响,且假定期望需求是投入广告费用的递增凹函数,以最大期望利润为目标,考虑了带有预算费用约束条件下的Newsboy问题,分别建立了带有订购成本预算费用约束、广告预算费用约束、订购成本费用和广告费用同时进行约束的非线性规划最优化模型,并利用Kuhn-Tucker条件来求得最优解,同时进行了灵敏度分析,最后给出了一些关于物流供应管理方面的启示。In this paper, it is assumed that advertising leads to the increase in demand and the expected demand is in- creasing and concave in advertising expenditure. With the purpose of maximizing the expected profit, we consider the newsboy problem with budget constraints, including ordering cost budget constraint, advertising expenditure budget constraint and both of them together at the same time. Some nonlinear programming models with constraints are developed, and the optimal solu- tions are obtained by using Kuhn-Tucker condition. Some managerial insights are presented through the sensitivity analysis.

关 键 词：Newsboy问题 广告费用 预算费用约束 灵敏度分析 

分 类 号：F224[经济管理—国民经济]