Existence and uniqueness of a fluid model for many-server queues with abandonment


In this paper, we establish a new (direct) proof for existence and uniqueness of the fluid model for Gt/GI/N + GI queues proposed recently by Kang and Ramanan under mild conditions on the arrival, service and patience time distributions. In particular, the existence of the fluid model is established directly from the fluidmodel itself. Thenmain technique… (More)
DOI: 10.1016/j.orl.2014.08.006