Title
Mean Approximate Formulas For Gi/G/1 Processor-Sharing System
Abstract
The processor-sharing (PS) rule arises as a natural paradigm in a variety of practical situations, including time-shared computer systems. Although there has been much work on Poisson-input queueing analysis for the PS rule, there have been few results for renewal-input GI/G/1 (PS) systems. We consider the GI/G/1 (PS) system to provide develop a two-moment approximation for the mean performance measures. We derive the relationship between the mean unfinished work and the conditional mean sojourn time for the GI/G/1 (PS) system. Using this relationship, we derive approximate formulas for the mean conditional sojourn time, mean sojourn time, and the mean number of customers in the GI/G/1 (PS) system. Numerical examples are presented to compare the approximation with exact and simulated results. We show that the proposed approximate formulas have good accuracy.
Year
DOI
Venue
2011
10.1587/transcom.E94.B.2247
IEICE TRANSACTIONS ON COMMUNICATIONS
Keywords
DocType
Volume
queues, tele-traffic analysis, unfinished-work, sojourn-tune, processor-sharing, renewal input
Journal
E94B
Issue
ISSN
Citations 
8
0916-8516
1
PageRank 
References 
Authors
0.41
1
4
Name
Order
Citations
PageRank
Kentaro Hoshi151.17
Yoshiaki Shikata242.98
Yoshitaka Takahashi342.31
Naohisa Komatsu46812.42