Well-Posedness and Sensitivity Analysis of a Fluid Model for Multiclass Many-Server Queues with Abandonment Under Global FCFS Discipline
研究了在全局先到先服务规则下，多类多服务台排队系统流体模型的适定性，通过Volterra型函数映射的不动点存在唯一性证明，并分析了模型对初始数据的敏感性。
In this paper, under mild conditions on the arrival, service, and patience time distributions, we establish the well-posedness of the fluid model of a multiclass many-server queueing model with differentiated service and patience times operated under the global FCFS service discipline. In particular, the well-posedness of the fluid model is established through the study of the existence and uniqueness of fixed points of a certain functional map of Volterra type. In addition, by showing a local Lipschitz property of this functional map as a functional of the initial data to the fluid model, we also perform a sensitivity analysis on the fluid model.