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On Little’s Formula in Multiphase Queues

Authors :
Saulius Minkevičius
Igor Katin
Joana Katina
Irina Vinogradova-Zinkevič
Source :
Mathematics, Vol 9, Iss 18, p 2282 (2021)
Publication Year :
2021
Publisher :
MDPI AG, 2021.

Abstract

The structure of this work in the field of queuing theory consists of two stages. The first stage presents Little’s Law in Multiphase Systems (MSs). To obtain this result, the Strong Law of Large Numbers (SLLN)-type theorems for the most important MS probability characteristics (i.e., queue length of jobs and virtual waiting time of a job) are proven. The next stage of the work is to verify the result obtained in the first stage.

Details

Language :
English
ISSN :
22277390
Volume :
9
Issue :
18
Database :
Directory of Open Access Journals
Journal :
Mathematics
Publication Type :
Academic Journal
Accession number :
edsdoj.776e9118ee194fa496624040a5dcddef
Document Type :
article
Full Text :
https://doi.org/10.3390/math9182282