Abstract
We study the stationary distribution of the number of busy servers in a GI/GI/∞ 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 (IEEE Trans. Vehicular Technol. 50 (2001) 954–970), when the common distribution of interarrival and service times is a gamma distribution.
| Original language | English |
|---|---|
| Pages (from-to) | 45-52 |
| Number of pages | 7 |
| Journal | Queueing systems |
| Volume | 47 |
| Issue number | 1-2 |
| DOIs | |
| Publication status | Published - 2004 |
Keywords
- Busy-server distribution
- Gamma distribution
- Mellin transform
- Infinite-server system
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A Note on the GI/GI/∞ System with Identical Service and Interarrival-Time Distributions
van Doorn, E. A. & Jagers, A. A., 2002, Enschede: University of Twente. 8 p. (Memorandum Faculty of Mathematical Sciences; no. 1664)Research output: Book/Report › Report › Professional
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