On the area swept under the occupation process of an \(M/M/1\) queue in a busy period
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Publication:1281697
DOI10.1023/A:1019100617896zbMath0917.90131OpenAlexW164793538MaRDI QIDQ1281697
Fabrice M. Guillemin, Didier Pinchon
Publication date: 19 July 1999
Published in: Queueing Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1023/a:1019100617896
Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22)
Related Items (7)
Tail behaviour of the area under a random process, with applications to queueing systems, insurance and percolations ⋮ Computing the performance measures in queueing models via the method of order statistics ⋮ Services within a busy period of an M/M/1 queue and Dyck paths ⋮ Local asymptotics for the area under the random walk excursion ⋮ A Note on Skewness in Regenerative Simulation ⋮ M/M/∞ Transience: Tail Asymptotics of Congestion Periods ⋮ Tail behaviour of the area under the queue length process of the single server queue with regularly varying service times
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