Performance Evaluation Review, volume 36, issue 2, pages 128-130
Fluid level in a reservoir with an on-off source
1
CARNEGIE MELLON UNIVERSITY
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Publication type: Journal Article
Publication date: 2008-08-31
Hardware and Architecture
Computer Networks and Communications
Software
Abstract
We obtain the Laplace transform of the fluid level probability density function, in terms of the on-period density function, for a fluid queue (or reservoir) with on-off input at equilibrium. We further obtain explicit expressions for the moments of fluid level in terms of the moments of the on-period and hence derive an algorithm for the moments of fluid level at every queue in a tandem network. It turns out that to calculate the kth moment at the ith queue, only the first k +1 moments of the on-period of the input process to the first queue are required.
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GUPTA V., HARRISON P. G. Fluid level in a reservoir with an on-off source // Performance Evaluation Review. 2008. Vol. 36. No. 2. pp. 128-130.
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GUPTA V., HARRISON P. G. Fluid level in a reservoir with an on-off source // Performance Evaluation Review. 2008. Vol. 36. No. 2. pp. 128-130.
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TY - JOUR
DO - 10.1145/1453175.1453206
UR - https://doi.org/10.1145/1453175.1453206
TI - Fluid level in a reservoir with an on-off source
T2 - Performance Evaluation Review
AU - GUPTA, VARUN
AU - HARRISON, PETER G.
PY - 2008
DA - 2008/08/31
PB - Association for Computing Machinery (ACM)
SP - 128-130
IS - 2
VL - 36
SN - 0163-5999
ER -
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BibTex (up to 50 authors)
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@article{2008_GUPTA,
author = {VARUN GUPTA and PETER G. HARRISON},
title = {Fluid level in a reservoir with an on-off source},
journal = {Performance Evaluation Review},
year = {2008},
volume = {36},
publisher = {Association for Computing Machinery (ACM)},
month = {aug},
url = {https://doi.org/10.1145/1453175.1453206},
number = {2},
pages = {128--130},
doi = {10.1145/1453175.1453206}
}
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GUPTA, VARUN, and PETER G. HARRISON. “Fluid level in a reservoir with an on-off source.” Performance Evaluation Review, vol. 36, no. 2, Aug. 2008, pp. 128-130. https://doi.org/10.1145/1453175.1453206.