Analysis of the Component-Based Reliability in Computer Networks

Saulius Minkevicius

doi:10.4067/S0719-06462010000100002

Authors

Saulius Minkevicius Vilnius University, Faculty of Mathematics and Informatics Naugarduko 24, 03225 Vilnius, Lithuania.

DOI:

https://doi.org/10.4067/S0719-06462010000100002

Keywords:

Performance evaluation, reliability theory, queueing theory, mathematical models of technical systems, open queueing network, heavy traffic, the probability limit theorem, extreme values, queue length of customers, virtual waiting time of a customer

Abstract

Performance in terms of reliability of computer networks motivates this paper. Limit theorems on the extreme queue length and extreme virtual waiting time in open queueing networks in heavy traffic are derived and applied to a reliability model for computer networks where we relate the time of failure of a computer network to the system parameters.