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Heavy traffic approximations for busy period in an M/G/[infinity] queue

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  • Hall, Peter

Abstract

A necessary and sufficient condition is given for busy period in an M/G/[infinity] 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.

Suggested Citation

  • Hall, Peter, 1985. "Heavy traffic approximations for busy period in an M/G/[infinity] queue," Stochastic Processes and their Applications, Elsevier, vol. 19(2), pages 259-269, April.
    • Handle: RePEc:eee:spapps:v:19:y:1985:i:2:p:259-269
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