Sample-Path Analysis of Single-Server Queue with Multiple Vacations
Author
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-07-06
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
We a give deterministic (sample path) proof of a result that extends the Pollaczek-Khintchine formula for a multiple vacation single-server queueing model.
We also give a conservation law for the same system with multiple classes.
Our results are completely rigorous and hold under weaker assumptions than those given in the literature.
We do not make stochastic assumptions, so the results hold almost surely on every sample path of the stochastic process that describes the system evolution.
The article is self contained in that it gives a brief review of necessary background material.
American Psychological Association (APA)
El-Taha, Muhammad. 2011. Sample-Path Analysis of Single-Server Queue with Multiple Vacations. ISRN Applied Mathematics،Vol. 2011, no. 2011, pp.1-12.
https://search.emarefa.net/detail/BIM-477982
Modern Language Association (MLA)
El-Taha, Muhammad. Sample-Path Analysis of Single-Server Queue with Multiple Vacations. ISRN Applied Mathematics No. 2011 (2011), pp.1-12.
https://search.emarefa.net/detail/BIM-477982
American Medical Association (AMA)
El-Taha, Muhammad. Sample-Path Analysis of Single-Server Queue with Multiple Vacations. ISRN Applied Mathematics. 2011. Vol. 2011, no. 2011, pp.1-12.
https://search.emarefa.net/detail/BIM-477982
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-477982