On the analysis of the law of the iterated logarithm in open queueing networks. Issue 2 (3rd April 2019)

• Record Type: Journal Article
• Authors: Minkevičius, Saulius
• Is Part Of: International journal of computer mathematics. Volume 4:Issue 2(2019)
• Page Start: 76
• Page End: 94
• Publication Date: 2019-04-03
• Subjects: Mathematical models of technical systems -- queueing theory -- open queueing network -- heavy traffic -- light traffic -- law of the iterated logarithm -- virtual waiting time of a job; Computer systems -- Periodicals; Computer systems; Periodicals; 004
• DOI: 10.1080/23799927.2019.1614673
• Languages: English
• ISSNs: 2379-9927

Abstract

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 queueing systems, arising in the network theory and communications theory (called open queueing network). We have proved here the theorem on the law of the iterated logarithm (LIL) for the virtual waiting time of a job in an open queueing network under heavy and light traffic conditions. Also, the work presents a survey of papers for the virtual waiting time of a job in heavy traffic. Finally, we present an application of the proved theorems to the technical model from computer network practice.