考虑到零售商存货后悔和缺货后悔的心理效用,文章将心理账户理论和后悔理论纳入报童模型,建立了报童的随机后悔效用函数,证明了期望后悔效用函数的凹性,以及最优购量满足的最优性条件。同时解析地进行了存货后悔和缺货后悔决策权重系数的比较静态分析。结果发现:其最优订购量随存货后悔权重系数增加而减少,随缺货后悔权重系数增加而增加。最后,数值验证了存货后悔和缺货后悔对最优订购量的影响。
Considered the retailer's psychological effect of inventory regret and stockout regret, both the mental accounting and regret theory were introduced into newsvendor model, random regret utility function of newsvendor was established, and the concavity of the expected regret utility function and optimal condition for optimal order quanlity were revealed. Comparative static analysis of inventory regret and stockout regret weighting coefficients was given simultaneously. The results shows that: the optimal order quantity decreases with inventory regret weighting coefficient increasing, and increases with the stockout regret weighting coefficient increasing. Finally, numerical examples illustrate the impact of inventory and stockout regret aversion degree on the optimal order quantity.