论文标题
带有延迟信息的队列：分析选择模型功能的影响
Queues with Delayed Information: Analyzing the Impact of the Choice Model Function
论文作者
论文摘要
在本文中，我们研究了使用延迟信息的排队系统，这些信息将多项式logit选择模型的概括作为其到达过程。以前的文献假定多项式logit模型的功能形式是指数式的。但是，在这项工作中，我们将其推广到不同的功能形式。特别是，我们计算临界延迟，并分析它如何取决于功能形式的选择。我们强调了如何将模型的功能形式解释为指数率参数不确定的指数模型。此外，速率参数分布由函数形式的逆向拉普拉斯 - 斯泰尔杰斯的变换给出。我们执行许多数值实验来确认我们的理论见解。
In this paper, we study queueing systems with delayed information that use a generalization of the multinomial logit choice model as its arrival process. Previous literature assumes that the functional form of the multinomial logit model is exponential. However, in this work we generalize this to different functional forms. In particular, we compute the critical delay and analyze how it depends on the choice of the functional form. We highlight how the functional form of the model can be interpreted as an exponential model where the exponential rate parameter is uncertain. Furthermore, the rate parameter distribution is given by the inverse Laplace-Stieltjes transform of the functional form when it exists. We perform numerous numerical experiments to confirm our theoretical insights.
