| Title |
Laws of Little in an open queueing network |
| Authors |
Minkevičius, Saulius ; Steišūnas, Stasys |
| DOI |
10.15388/NA.17.3.14059 |
| Full Text |
|
| Is Part of |
Nonlinear analysis: modelling and control.. Vilnius : Vilniaus universiteto leidykla. 2012, vol. 17, no. 3, p. 327-343.. ISSN 1392-5113. eISSN 2335-8963 |
| Keywords [eng] |
queueing system ; open queueing network ; heavy traffic ; the virtual waiting time of a customer ; the queue length of customers ; a law of Little |
| Abstract [eng] |
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 tra±c in an Open Queueing Network (OQN). The FSLLN is known as a °uid limit or °uid 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. |
| Published |
Vilnius : Vilniaus universiteto leidykla |
| Type |
Journal article |
| Language |
English |
| Publication date |
2012 |
| CC license |
|
