On Little’s Formula in Multiphase Queues

Authors :: Irina Vinogradova-Zinkevič
Igor Katin
Saulius Minkevičius
Joana Katina
Source :: Mathematics, Vol 9, Iss 2282, p 2282 (2021), Mathematics, Basel : MDPI AG, 2021, vol. 9, no. 18, art. no. 2282, p. [1-14], Mathematics, Volume 9, Issue 18, Mathematics, Basel : MDPI, 2021, vol. 9, iss. 18, art. no. 2282, p. [1-14]
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.