A simple proof of diffusion approximations for LBFS re-entrant lines

Authors:
Jiankui Yang;J. G. Dai;Jian-Gong You;Hanqin Zhang
Affiliations:
Department of Mathematics, Nanjing University, Nanjing, China;School of Industrial and Systems Engineering, Georgia Institute of Technology, Atlanta, GA, 30332-0205, USA;Department of Mathematics, Nanjing University, Nanjing, China;Institute of Applied Mathematics, Academia Sinica, Beijing 100080, China
Venue:
Operations Research Letters
Year:
2006

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Abstract

For a re-entrant line operating under the last-buffer-first-serve service policy, there have been two independent proofs of a heavy traffic limit theorem. The key to these proofs is to prove the uniform convergence of a critical fluid model. We give a new proof for the uniform convergence of the fluid model.