Performance Analysis of Novel Overload Control with Threshold Mechanism
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-01-26
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
We propose a novel overload control method with hysteresis property; that is, we analyze the M / G / 1 / K queueing system where the service and arrival rates are varied depending on the queue-length.
We use two threshold values: L 1 ( ≤ L 2 ) and L 2 ( ≤ K ) .
When the queue-length increases by an amount between L 1 and L 2 , we apply one of the following two strategies to reduce the queue-length, either we decrease the mean service time or we decrease the arrival rate.
If the queue-length exceeds L 2 with one strategy, we apply the other; thus, there are two models that depend on the method that was applied first.
We derive the queue-length distribution at departure and at arbitrary epochs using the embedded Markov chain method and the supplementary variable method.
We investigate performance measures including the loss probability and mean waiting time using various numerical examples.
American Psychological Association (APA)
Choi, Doo Il& Lim, Dae-Eun. 2016. Performance Analysis of Novel Overload Control with Threshold Mechanism. Mathematical Problems in Engineering،Vol. 2016, no. 2016, pp.1-8.
https://search.emarefa.net/detail/BIM-1112618
Modern Language Association (MLA)
Choi, Doo Il& Lim, Dae-Eun. Performance Analysis of Novel Overload Control with Threshold Mechanism. Mathematical Problems in Engineering No. 2016 (2016), pp.1-8.
https://search.emarefa.net/detail/BIM-1112618
American Medical Association (AMA)
Choi, Doo Il& Lim, Dae-Eun. Performance Analysis of Novel Overload Control with Threshold Mechanism. Mathematical Problems in Engineering. 2016. Vol. 2016, no. 2016, pp.1-8.
https://search.emarefa.net/detail/BIM-1112618
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1112618