Shot-noise queueing models

Onno Boxma () and Michel Mandjes
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Onno Boxma: Eindhoven University of Technology
Michel Mandjes: University of Amsterdam

Queueing Systems: Theory and Applications, 2021, vol. 99, issue 1, No 4, 159 pages

Abstract: Abstract We provide a survey of so-called shot-noise queues: queueing models with the special feature that the server speed is proportional to the amount of work it faces. Several results are derived for the workload in an M/G/1 shot-noise queue and some of its variants. Furthermore, we give some attention to queues with general workload-dependent service speed. We also discuss linear stochastic fluid networks, and queues in which the input process is a shot-noise process.

Keywords: Single server queue; Shot noise; Workload-dependent service speed; 60K25; 90B22 (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s11134-021-09708-9

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