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Diffusion Approximation for a Web-Server System with Proxy Servers

In: Operations Research Proceedings 2010

Author

Listed:
  • Yoshitaka Takahashi

    (Waseda University)

  • Yoshiaki Shikata

    (Shobi University)

  • Andreas Frey

    (University of Applied Sciences Osnabrueck)

Abstract

It is an important and urgent Operations Research (OR) issue to evaluate the delay in a web-server system handling internet commerce real-time services. Usually, proxy servers in differently-located sites enable us to shorten the web-server access delay in order to guarantee the quality of real-time application services. However, there exists almost no literature on the queueing analyses for the web-server system with proxy servers. The goal of this paper is to provide a queueing analysis for the web-server system. We derive the statistics of the individual output processes from the proxy servers. Regarding the unfinished workload in the web-server system with input as a diffusion process, we derive a mean-delay explicit formula.

Suggested Citation

  • Yoshitaka Takahashi & Yoshiaki Shikata & Andreas Frey, 2011. "Diffusion Approximation for a Web-Server System with Proxy Servers," Operations Research Proceedings, in: Bo Hu & Karl Morasch & Stefan Pickl & Markus Siegle (ed.), Operations Research Proceedings 2010, pages 163-168, Springer.
    • Handle: RePEc:spr:oprchp:978-3-642-20009-0_26
    DOI: 10.1007/978-3-642-20009-0_26
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