Global and local asymptotics for the busy period of an M/G/1 queue

Authors:
Denis Denisov;Seva Shneer
Affiliations:
Department of AMS, Heriot-Watt University, Edinburgh, UK EH14 4AS;Eindhoven University of Technology and Eurandom, Eindhoven, The Netherlands 5600 MB
Venue:
Queueing Systems: Theory and Applications
Year:
2010

Citing 2
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Abstract

We consider an M/G/1 queue with subexponential service times. We give a simple derivation of the global and local asymptotics for the busy period. Our analysis relies on the explicit formula for the joint distribution for the number of customers and the length of the busy period of an M/G/1 queue.