带有随机产出和广告投入的Newsboy模型

首次将随机产出和广告投入同时引入到Newsboy模型中,分别在乘积形式随机产出和加和形式随机产出情况下,建立带有广告费用的最优决策模型,通过分析得出如下结论:在乘积随机产出情况下,随着广告费用的不断增加,最优计划生产量在快速增加;而在加和形式随机产出情况下,随着广告费用不断增加时,最优计划生产量也在不断增加,但其增加的速率较小。最后,指出乘积形式的随机产出适用于刚上市的新产品,而加和形式的随机产出适用于品牌产品。

Newsboy Model with Random Yield and Advertising Investment

Random yield and advertising investment are introduced in the Newsboy model for the first time.Under the multiplicative and additive random risks,the optimal decisionmaking models with advertising investment are established,respectively.From the analysis we obtain the following results:Under the cases of the multiplicative and additive random risks,the optimal planned production quantity increases with the advertising investment, wherease the growth rate of the planned production quantity in the former case is larger than that in the latter case.Finally,we show that the multiplicative random risk applies to new products but the additive random risk applies to brand products.