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Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 135))

Abstract

By “long tailed distributions” ([2], Chapter 10) we mean that we have different classes of customers, with one class of customer taking a long time in a server. We will consider only two classes of customer: (1) normal, or those who take a regular, or normal, time in a server; and (2) long, or those who usually take a much longer time in a server. The long tailed distribution relates to the fact that there is a positive probability that a customer will take a long time in the server. We will model this situation as having two different arrival rates, one for the “normal” customers and another for those who take a long time in the servers. Also, there will be two different service rates. The results will depend on whether we are using fuzzy probabilities or fuzzy arrival/service rates.

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References

  1. Frontline Systems (http://www.frontsys.com).

  2. D.A.Menasce and V.A.F.Almeida: Capacity Planning for Web Performance, Prentice Hall, Upper Saddle River, N.J., 1998.

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© 2004 Springer-Verlag Berlin Heidelberg

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Buckley, J.J. (2004). Long Tailed Distributions. In: Fuzzy Probabilities and Fuzzy Sets for Web Planning. Studies in Fuzziness and Soft Computing, vol 135. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-36426-9_16

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  • DOI: https://doi.org/10.1007/978-3-540-36426-9_16

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-05596-6

  • Online ISBN: 978-3-540-36426-9

  • eBook Packages: Springer Book Archive

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