A note on the $GI/GI/\infty$ system with identical service and interarrival-time distributions

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Doorn van, E.A. and Jagers, A.A. (2002) A note on the $GI/GI/\infty$ system with identical service and interarrival-time distributions. [Report]

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Abstract:We study the stationary distribution of the number of busy servers in a $GI/GI/\infty$ system in which the service-time distribution is identical to the interarrival-time distribution, and obtain several representations for the variance. As a result we can verify an expression for the variance, conjectured by Rajaratnam and Takawira ({\it IEEE Trans. Vehicular Technol.} {\bf 50} (2001) 817-834), when the common distribution of interarrival and service times is a gamma distribution.
Item Type:Report
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Electrical Engineering, Mathematics and Computer Science (EEMCS)
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Link to this item:http://purl.utwente.nl/publications/65850
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