RATE OF CONVERGENCE OF FLUID APPROXIMATION FOR RE-ENTRANT LINES UNDER FBFS DISCIPLINE

Yongjiang Guo ()
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Yongjiang Guo: School of Science Beijing University of Posts and Telecommunications Beijing 100876, China

Asia-Pacific Journal of Operational Research (APJOR), 2011, vol. 28, issue 03, 401-417

Abstract: The re-entrant line networks under a first-buffer-first-served (FBFS) service discipline are considered in this paper. Under uniform topology, if the scaled arrival process and the scaled service process converge to the corresponding fluid limit processes with an exponential rate, we prove that the scaled processes characterizing the re-entrant line converge to the corresponding fluid limit processes with the exponential rate. Here the scaled processes include the queue length process, workload process, busy time process and idle time process.

Keywords: Re-entrant line; FBFS service discipline; fluid approximation; exponential rate of convergence (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1142/S0217595911003296

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