Abstract
In this chapter we will model the system using the arrival rate λ and the service rate μ for any server. This is a common method used in queuing theory ([1],[2]). We first discuss the crisp model. The system has c parallel and identical servers, system capacity M (in the servers and in the queue) and an infinite calling source. The λ rate will be state independent, which means that λ does not depend on how many customers are in the system. But if there are n customers in the system, then the rate of departure from the whole system is μ n = nμ, for 1 ≤ n <c and μ n = cμ, for c ≤ n ≤ M.
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References
D.A. Menasce and V.A.F. Almeida: Capacity Planning for Web Performance, Prentice Hall, Upper Saddle River, N.J., 1998.
H.A. Taha: Operations Research, Fifth Edition, Macmillan, N.Y., 1992.
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© 2004 Springer-Verlag Berlin Heidelberg
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Buckley, J.J. (2004). Fuzzy Arrival/Service Rates. 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_11
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DOI: https://doi.org/10.1007/978-3-540-36426-9_11
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-05596-6
Online ISBN: 978-3-540-36426-9
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