Diffusion approximation of a multitype re-entrant line under smaller-buffer-first-served policy |
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| Authors: | Jian Kui Yang |
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| Affiliation: | School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, P. R. China |
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| Abstract: | This paper studies a multitype re-entrant line under smaller-buffer-first-served policy, which is an extension of first-buffer-first-served re-entrant line. We prove a heavy traffic limit theorem. The key to the proof is to prove the uniform convergence of the corresponding critical fluid model. |
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| Keywords: | Multitype re-entrant line heavy traffic reflecting Brownian motion fluid model diffusion approximation |
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