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Two fluid approximations for multi-server queues with abandonments

Whitt, Ward

Insight is provided into a previously developed M/M/s/r+M(n) approximation for the M/GI/s/r+GI queueing model by establishing fluid and diffusion limits for the approximating model. Fluid approximations for the two models are compared in the many-server efficiency-driven (overloaded) regime. The two fluid approximations do not coincide, but they are close.

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Title
Operations Research Letters
DOI
https://doi.org/10.1016/j.orl.2004.09.002

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Academic Units
Industrial Engineering and Operations Research
Published Here
September 19, 2017