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需求依赖库存时基于CVaR准则的报童模型
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摘要
以往对于库存水平影响需求的研究主要是在假设零售商对于风险保持中立态度的基础之上开展的,而对于商品需求依赖于库存水平且零售商为风险规避型决策者的最优订货决策等相关问题未做深入探讨。本文针对需求依赖于库存水平下的风险规避型零售商的最优订货决策问题,将CVaR准则作为引入零售商风险规避系数的方法,结合需求为库存水平的幂函数形式,给出了有无缺货惩罚成本下的最优订货决策及其满足的条件,并进一步分析发现需求函数中的参数和最优订货量均呈正相关,而零售商的风险规避程度越大,最优订货量则越小。
Previous literature on inventory-dependent demand was based on the assumption that retailers were risk-neutral newsvendors,while they usually didn't analyze further risk-averse newsvendor's optimal ordering policy.As far as the risk-averse newsvendor's optimal policy with inventory-dependent demand is considered,in this paper risk-averse newsvendor's model is established based on CVaR criterion.Given that demand is a power function of stock level,optimal ordering decisions and necessary conditions they meet with and without shortage penalty costs.Finally,it is concluded that the optimal order quantity has a positive correlation with parameters in the demand function.Also,the optimal ordering quantity decreases as the degree of risk aversion of retailers growos.
引文
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