2012 | OriginalPaper | Chapter
A Cost-Equation Analysis of General-Input General-Service Processor Sharing System
Authors : Kentaro Hoshi, Naohisa Komatsu, Yoshitaka Takahashi
Published in: Operations Research Proceedings 2011
Publisher: Springer Berlin Heidelberg
Activate our intelligent search to find suitable subject content or patents.
Select sections of text to find matching patents with Artificial Intelligence. powered by
Select sections of text to find additional relevant content using AI-assisted search. powered by
In the computer-communication field, we frequently encounter a situation in which the processor sharing (PS) rule is adopted for a time-shared server next to the first-come-first-serve (FCFS) rule. There has been much work on the Poisson-input general-service M/GI/1 (PS) system. However, there have been few results for a general-input general-service GI/GI/1 (PS) system. We deal with this general GI/GI/1 (PS) system. We show that the cost-equation analysis enables us to derive the relationship between the mean (time-average) unfinished work and the mean (customer-average) sojourn time. Our relationship is then applied to extend and generalize the previous results, e.g., Brandt et al.’s relationship between the mean (customer-average) sojourn times under the FCFS and PS rules, and Kleinrock’s conservation law for the M/GI/1 (PS) system.