从行为视角出发,研究在供应和需求分别不确定的情况下,具损失概率厌恶和损失厌恶的报童可进行二次订购问题。构建了具有损失概率厌恶和损失厌恶报童的双边前景值函数,证明其前景值函数的凹性,推导出其最优订货量满足的条件,并进行了行为参数的比较静态分析和数值算例。比较静态分析发现:随报童对最好结果重视程度的增加,将增大订购量;随对最差结果重视程度的增加,将减少订购量。数值计算结果表明:随损失概率敏感度的增加,报童的最优订购量减少,其前景值减少;随获利概率敏感度的增加,报童的最优订购量增加,其前景值增加;随损失厌恶系数的增加,报童的最优订购量减少,其前景值减少。
From a behavioral perspective, the newsvendor problem considering the supply and demand uncertainty was studied, and the newsboy with the probability of loss aversion and loss aversion had two ordering opportunities. The function of bilateral prospect value with the probability of loss aversion and loss aversion newsboy was built, and the concavity of the prospect value function was proved, and the conditions about the optimal order quantity was deduced, and the behavior parameters of static analysis was compared, and a numerical ex- ample was gave. Comparative static analysis found that: the optimal order quantity increases (decrease) with the importance to the extreme gain (loss) increasing; numerical results show that with the increase of the loss probability sensitivity, the newsboy decreases the optimal quantity and the prospect value decreases; with the increase of the profit probability sensitivity, the newsboy increases the optimal quantity and the prospect value increases; with the increase of loss aversion coefficient, the newsboy decreases the optimal quantity and the prospect value decreases.