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分段批发价下损失厌恶的报童最优订货问题

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考虑损失厌恶报童的最优订货量问题。基于量大从优的经济现象,假设商品的批发价根据订购数量分为两段,订购量高于某一数量时价格降低。假设报童是损失厌恶的,其参照点为最大利润和最小利润的凸组合。证明了在最大化期望效用下存在唯一的最优订货量,发现厌恶损失的报童的订货量小于损失中性的报童的订货量。研究参数对最优订货量的一些影响,发现零售商的最优订货量随着批发价和损失厌恶程度的增大而减少,而当参考水平较小时损失厌恶型零售商的最优订货量比经典零售商大,参考水平较大时,损失厌恶型零售商的最优订货量比经典零售商小。通过数值验算给予说明。
Optimal order for loss-averse newsvendor with segmented wholesale price
This paper studied on the optimal order problem for the loss-averse newsvendors.Based on the economic phenomenon of"buying in bulk,getting a discount",it was assumed that the wholesale price of a commodity was divided into two segments according to the quan-tity ordered.Obviously,the bigger the order was,the lower the whole price was.Supposed the reference point was a convex combination of maximum and minimum profit.This paper proved that there was a unique optimal order quantity under maximum expected utility,and found that the order quantity of the loss-averse newsvendors was smaller than the loss-neutral newsvendors.This paper also presented the influence of the parameters on the optimal order quantity,and found that the optimal order quantity of retailer decreased with the increase of wholesale price and loss aversion degree,and it was bigger than that of classic retailers when the reference level was small and was smaller when the reference level was large.Numerical examples were provided to illustrate these findings.

newsvendor problemloss aversionreference pointwholesale priceexpected utilitymaximum profit

汪旭、郭永江

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北京邮电大学 理学院,北京 100876

报童问题 损失厌恶 参照点 分段批发价 期望效用 最大利润

2024

哈尔滨商业大学学报(自然科学版)
哈尔滨商业大学

哈尔滨商业大学学报(自然科学版)

影响因子:0.405
ISSN:1672-0946
年,卷(期):2024.40(5)