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Rate Of Convergence Of Fluid Approximation For Re-Entrant Lines Under Fbfs Discipline

Author

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  • YONGJIANG GUO

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

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.

Suggested Citation

  • Yongjiang Guo, 2011. "Rate Of Convergence Of Fluid Approximation For Re-Entrant Lines Under Fbfs Discipline," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 28(03), pages 401-417.
    • Handle: RePEc:wsi:apjorx:v:28:y:2011:i:03:n:s0217595911003296
    DOI: 10.1142/S0217595911003296
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