Heavy Traffic Limit Theorems for the Closed Lu -Kumar Network
Steichen, Jennifer L.
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Permalink
https://hdl.handle.net/2142/87007
Description
Title
Heavy Traffic Limit Theorems for the Closed Lu -Kumar Network
Author(s)
Steichen, Jennifer L.
Issue Date
2000
Doctoral Committee Chair(s)
Burkholder, Donald L.
Hajek, Bruce
Department of Study
Mathematics
Discipline
Mathematics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Operations Research
Language
eng
Abstract
We also prove a functional central limit theorem for Markov additive processes. This theorem is used to produce the heavy traffic limit theorem for the queue length process in the subcritical case.
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