Distribution of the Interoverflow Time for the GI/G/1 Loss System
- 1 November 1981
- journal article
- Published by Institute for Operations Research and the Management Sciences (INFORMS) in Mathematics of Operations Research
- Vol. 6 (4) , 563-570
- https://doi.org/10.1287/moor.6.4.563
Abstract
We derive the distribution of the time between overflows (losses) for the GI/G/1 loss system in equilibrium. The resulting arrivals-overflows relation can be iterated n times to obtain an approximation (which is exact for exponential service times) for the overflow process from the GI/G/n loss system. Applications to the MG/G/1 and GI/Ek/1 loss systems are presented.Keywords
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