Diffusion Approximation for a Web-Server System with Proxy Servers

Yoshitaka Takahashi (), Yoshiaki Shikata () and Andreas Frey ()
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Yoshitaka Takahashi: Waseda University
Yoshiaki Shikata: Shobi University
Andreas Frey: University of Applied Sciences Osnabrueck

A chapter in Operations Research Proceedings 2010, 2011, pp 163-168 from Springer

Abstract: 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.

Keywords: Diffusion Approximation; Proxy Server; Batch Arrival; Proxy Cache; Bell System Tech (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:spr:oprchp:978-3-642-20009-0_26

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DOI: 10.1007/978-3-642-20009-0_26

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