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.
Scheinhardt, Willem R.W. ; Zwart, B. / A tandem fluid queue with gradual input. Enschede : University of Twente, Faculty of Mathematical Sciences, 2001. 19 p. (Memorandum faculteit TW; 1563).
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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.",
keywords = "METIS-201263, MSC-90B22, IR-65750, MSC-60K25, EWI-3383",
author = "Scheinhardt, {Willem R.W.} and B. Zwart",
note = "Imported from MEMORANDA",
year = "2001",
language = "Undefined",
isbn = "0169-2690",
series = "Memorandum faculteit TW",
publisher = "University of Twente, Faculty of Mathematical Sciences",
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Scheinhardt, WRW & Zwart, B 2001, A tandem fluid queue with gradual input. Memorandum faculteit TW, no. 1563, University of Twente, Faculty of Mathematical Sciences, Enschede.

A tandem fluid queue with gradual input. / Scheinhardt, Willem R.W.; Zwart, B.

Enschede : University of Twente, Faculty of Mathematical Sciences, 2001. 19 p. (Memorandum faculteit TW; No. 1563).

Research output: Book/ReportReportProfessional

TY - BOOK

T1 - A tandem fluid queue with gradual input

AU - Scheinhardt, Willem R.W.

AU - Zwart, B.

N1 - Imported from MEMORANDA

PY - 2001

Y1 - 2001

N2 - 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.

AB - 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.

KW - METIS-201263

KW - MSC-90B22

KW - IR-65750

KW - MSC-60K25

KW - EWI-3383

M3 - Report

SN - 0169-2690

T3 - Memorandum faculteit TW

BT - A tandem fluid queue with gradual input

PB - University of Twente, Faculty of Mathematical Sciences

CY - Enschede

ER -

Scheinhardt WRW, Zwart B. A tandem fluid queue with gradual input. Enschede: University of Twente, Faculty of Mathematical Sciences, 2001. 19 p. (Memorandum faculteit TW; 1563).