Title
A Cost-Equation Analysis of General-Input General-Service Processor Sharing System.
Abstract
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.
Year
DOI
Venue
2011
10.1007/978-3-642-29210-1_82
Operations Research Proceedings
DocType
ISSN
Citations 
Conference
0721-5924
0
PageRank 
References 
Authors
0.34
4
3
Name
Order
Citations
PageRank
Kentaro Hoshi100.68
Naohisa Komatsu26812.42
Yoshitaka Takahashi321.48