About departure flow in open queueing networks

Abstract

The modern queueing theory is one of the powerful tools for a quantitative and qualitative analysis of communication systems, computer networks, transportation systems, and many other technical systems. The paper is designated to the analysis of problems of queueing systems, arising in the network theory and communications theory (called open queueing network). We have proved here the theorems on the law of the iterated logarithm (LIL) for the departure flows of customers and arrival streams of customers in an open queueing network. As a corollary of the proved theorems we present LIL for queue length of customers in an open queueing network. Finally, we present an application of the proved theorems for the technical model from computer network practice.