Heavy traffic approximations for busy period in an M/G/∞ queue |
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| Authors: | Peter Hall |
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| Affiliation: | Department of Statistics, Faculty of Economics and Commerce, Australian National University, GPO Box 4, Canberra, ACT 2601, Australia |
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| Abstract: | ![]()
A necessary and sufficient condition is given for busy period in an M/G/∞ queue to be asymptotically exponential with mean equal to expected busy period, as traffic intensity increases. The case where this condition fails is also investigated, and the results applied. |
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| Keywords: | Primary 60K25 Secondary 60F05 busy period exponential approximation heavy traffic limit theorem M/G/∞ queue |
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