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The integral of the queue length process in a G/G/1 model. (English) Zbl 1240.90115

Summary: A G/G/1 queue with intermediately regularly varying service time is considered. Assume that \(Q(t)\) is the queue length, during the busy period \([0,l]\), the area swept under \(Q(t)\) is proved to have an intermediately regularly varying tail.

MSC:

90B22 Queues and service in operations research
60K25 Queueing theory (aspects of probability theory)
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