Studies on systems with random disruptions via fluid models

Hong Chen; David D. Yao

Studies on systems with random disruptions via fluid models

Hong Chen
, David D. Yao

Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review

Abstract

A fluid network model with random disruptions is developed, and it is shown that it is a functional strong law of large numbers limit of the corresponding queuing network model. Conditions for the existence of limiting and stationary distributions are established. The usefulness of the model is illustrated through a pathwise bound (between the queuing and the fluid inventory processes), and some simple, explicit results for stationary distributions in the single-station case, obtained via standard results in random walk theory.

Original language	English
Title of host publication	Proceedings of the American Control Conference
Publisher	Publ by American Automatic Control Council
Pages	449-454
Volume	1
ISBN (Print)	879425652
Publication status	Published - 1991
Externally published	Yes
Event	1991 American Control Conference - Boston, United States Duration: 26 Jun 1991 → 28 Jun 1991 https://ieeexplore.ieee.org/xpl/conhome/4791299/proceeding

Publication series

Name
Volume	1
ISSN (Electronic)	0743-1619

Conference

Conference	1991 American Control Conference
Place	United States
City	Boston
Period	26/06/91 → 28/06/91
Internet address	https://ieeexplore.ieee.org/xpl/conhome/4791299/proceeding

Other Access Options

Check CityUHK Library

Permanent Link

Right click to copy link

Cite this

@inproceedings{20a8aa67476c4c60861c4111edb8f090,

title = "Studies on systems with random disruptions via fluid models",

abstract = "A fluid network model with random disruptions is developed, and it is shown that it is a functional strong law of large numbers limit of the corresponding queuing network model. Conditions for the existence of limiting and stationary distributions are established. The usefulness of the model is illustrated through a pathwise bound (between the queuing and the fluid inventory processes), and some simple, explicit results for stationary distributions in the single-station case, obtained via standard results in random walk theory.",

author = "Hong Chen and Yao, \{David D.\}",

year = "1991",

language = "English",

isbn = "879425652",

volume = "1",

publisher = "Publ by American Automatic Control Council",

pages = "449--454",

booktitle = "Proceedings of the American Control Conference",

note = "1991 American Control Conference ; Conference date: 26-06-1991 Through 28-06-1991",

url = "https://ieeexplore.ieee.org/xpl/conhome/4791299/proceeding",

}

TY - GEN

T1 - Studies on systems with random disruptions via fluid models

AU - Chen, Hong

AU - Yao, David D.

PY - 1991

Y1 - 1991

N2 - A fluid network model with random disruptions is developed, and it is shown that it is a functional strong law of large numbers limit of the corresponding queuing network model. Conditions for the existence of limiting and stationary distributions are established. The usefulness of the model is illustrated through a pathwise bound (between the queuing and the fluid inventory processes), and some simple, explicit results for stationary distributions in the single-station case, obtained via standard results in random walk theory.

AB - A fluid network model with random disruptions is developed, and it is shown that it is a functional strong law of large numbers limit of the corresponding queuing network model. Conditions for the existence of limiting and stationary distributions are established. The usefulness of the model is illustrated through a pathwise bound (between the queuing and the fluid inventory processes), and some simple, explicit results for stationary distributions in the single-station case, obtained via standard results in random walk theory.

UR - https://www.scopus.com/pages/publications/0026385011

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-0026385011&origin=recordpage

M3 - RGC 32 - Refereed conference paper (with host publication)

SN - 879425652

VL - 1

SP - 449

EP - 454

BT - Proceedings of the American Control Conference

PB - Publ by American Automatic Control Council

T2 - 1991 American Control Conference

Y2 - 26 June 1991 through 28 June 1991

ER -

Studies on systems with random disruptions via fluid models

Abstract

Publication series

Conference

Other Access Options

Permanent Link

Other Files and Links

Fingerprint

Cite this