Continuous feedback fluid queues

Werner Scheinhardt; Nicky Van Foreest; Michel Mandjes

doi:10.1016/j.orl.2004.11.008

Continuous feedback fluid queues

Werner Scheinhardt^*, Nicky Van Foreest, Michel Mandjes

^*Corresponding author voor dit werk

Onderzoeksoutput › Academic › peer review

26 Citaten (Scopus)

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We investigate a fluid queue with feedback from the (finite) buffer to the background process. The latter behaves as a continuous-time Markov chain, but the generator (and traffic rates) depend continuously on the current buffer level. We derive the Kolmogorov equations, and, for two-state background processes, the explicit stationary distribution.

Originele taal-2	English
Pagina's (van-tot)	551-559
Aantal pagina's	9
Tijdschrift	Operations Research Letters
Volume	33
Nummer van het tijdschrift	6
DOI's	https://doi.org/10.1016/j.orl.2004.11.008
Status	Published - nov.-2005
Extern gepubliceerd	Ja

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abstract = "We investigate a fluid queue with feedback from the (finite) buffer to the background process. The latter behaves as a continuous-time Markov chain, but the generator (and traffic rates) depend continuously on the current buffer level. We derive the Kolmogorov equations, and, for two-state background processes, the explicit stationary distribution.",

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AU - Mandjes, Michel

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AB - We investigate a fluid queue with feedback from the (finite) buffer to the background process. The latter behaves as a continuous-time Markov chain, but the generator (and traffic rates) depend continuously on the current buffer level. We derive the Kolmogorov equations, and, for two-state background processes, the explicit stationary distribution.

KW - Feedback

KW - Fluid queue

KW - Forward equations

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DO - 10.1016/j.orl.2004.11.008

M3 - Article

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SP - 551

EP - 559

JO - Operations Research Letters

JF - Operations Research Letters

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Continuous feedback fluid queues

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