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from Part II - Approximations of the Single Queue
Published online by Cambridge University Press: 01 October 2021
We discuss fluid and diffusion approximations to the GI/GI/1 queue by scaling time and space. We also introduce the GI/GI/1 queueing system and study it under many-server scaling. The three types of scaling, fluid, diffusion, and many-server, form the backbone for Parts IV, V, andVI of the book, where we use them to study networks of queues. These approximations allow us to obtain a much better idea of how queues evolve over time than can be obtained from an exact discrete state Markov description.
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