Fluid Models of Many-server Queues with Abandonment

Details Fluid Models of Many-server Queues with Abandonment Fluid Models of Many-server Queues with Abandonment

2009-09-09

arxiv.org/abs/0909.1671v1

Mathematics

Probability

Scientific paper

We study many-server queues with abandonment in which customers have general service and patience time distributions. The dynamics of the system are modeled using measure- valued processes, to keep track of the residual service and patience times of each customer. Deterministic fluid models are established to provide first-order approximation for this model. The fluid model solution, which is proved to uniquely exists, serves as the fluid limit of the many-server queue, as the number of servers becomes large. Based on the fluid model solution, first-order approximations for various performance quantities are proposed.

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