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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 the behavioral perspective, the paper studies the problem of secondary order with the probability of loss of aversion and the loss of aversion in the case of uncertain supply and demand respectively. The bilateral foreground value function with loss probability aversion and loss aversion newsboy is constructed. The concavity of the foreground value function is proved. The condition that the optimal order quantity is satisfied is obtained. The comparative static analysis and numerical example of behavior parameter are also carried out. A comparative static analysis found that with the increase in attention given to the best outcomes by the newsboy, there will be an increase in subscriptions; orders will be reduced with increased emphasis on worst outcomes. The numerical results show that with the increase of the sensitivity of loss probability, the optimal order quantity of newsboy decreases and its foreground value decreases. With the increase of the sensitivity of profitability, the optimal order quantity of newsboy increases and its foreground value increases. With the loss With the increase of aversion coefficient, the optimal order quantity of newsboy decreases, and its foreground value decreases.