On the law of iterated logarithm for extreme queue length in an open queueing network

2021 ◽  
pp. 1-22
Author(s):  
Saulius Minkevičius ◽  
Leonidas L. Sakalauskas
Keyword(s):  
Queue Length ◽  
Queueing Network ◽  
Law Of Iterated Logarithm ◽  
Iterated Logarithm ◽  
Open Queueing Network ◽  
The Law

The Law of Iterated Logarithm

1994 ◽  
pp. 443-460
Author(s):  
V. S. Koroljuk ◽  
Yu. V. Borovskich
Keyword(s):  
Law Of Iterated Logarithm ◽  
Iterated Logarithm ◽  
The Law

scholarly journals Laws of Little in an open queueing network

2012 ◽  
Vol 17 (3) ◽  
pp. 327-342 ◽  
Author(s):  
Saulius Minkevičius ◽  
Stasys Steišūnas
Keyword(s):  
Waiting Time ◽  
Queueing Theory ◽  
Queue Length ◽  
Heavy Traffic ◽  
Queueing Network ◽  
Fluid Limit ◽  
Fluid Approximation ◽  
Large Numbers ◽  
Virtual Waiting Time ◽  
Open Queueing Network

The object of this research in the queueing theory is theorems about the functional strong laws of large numbers (FSLLN) under the conditions of heavy traffic in an open queueing network (OQN). The FSLLN is known as a fluid limit or fluid approximation. In this paper, FSLLN are proved for the values of important probabilistic characteristics of the OQN investigated as well as the virtual waiting time of a customer and the queue length of customers. As applications of the proved theorems laws of Little in OQN are presented.

Sign in / Sign up

Export Citation Format

Share Document