A tandem fluid queue with gradual input

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Abstract

For a two-node tandem fluid model with gradual input, we compute the joint steady-state buffer-content distribution. Our proof exploits martingale methods developed by Kella \& Whitt. For the case of finite buffers, we use an insightful sample-path argument to find a proportionality result.
Original languageUndefined
Place of PublicationEnschede
PublisherUniversity of Twente, Faculty of Mathematical Sciences
Number of pages19
ISBN (Print)0169-2690
Publication statusPublished - 2001

Publication series

NameMemorandum faculteit TW
PublisherUniversity of Twente, Faculty of Mathematical Sciences
No.1563
ISSN (Print)0169-2690

Keywords

  • METIS-201263
  • MSC-90B22
  • IR-65750
  • MSC-60K25
  • EWI-3383

Cite this

Scheinhardt, W. R. W., & Zwart, B. (2001). A tandem fluid queue with gradual input. (Memorandum faculteit TW; No. 1563). Enschede: University of Twente, Faculty of Mathematical Sciences.