An extended lifetime measure for telecommunication network

Zari Dzalilov; Iradj Ouveysi; Alexander Rubinov

doi:10.3934/jimo.2008.4.329

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2008, Volume 4, Issue 2: 329-337. Doi: 10.3934/jimo.2008.4.329

This issue Previous Article Well-posedness for parametric vector equilibrium problems with applications Next Article Errata to:''Optimal preemptive online scheduling to minimize $l_{p}$ norm on two processors''[Journal of Industrial and Management Optimization, 1(3) (2005), 345-351.]

An extended lifetime measure for telecommunication network

1.
Centre for Informatics and Applied Optimization, School of Information Technology and Mathematical Sciences, University of Ballarat, Victoria 3353

Received: May 31, 2007

Revised: December 31, 2007

Published: March 2008

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Abstract

A new measure for network performance evaluation called topology lifetime was introduced in [4, 5]. This measure is based on the notion of unexpected traffic growth and can be used for comparison of topologies. We discuss some advantages and disadvantages of the approach of [4] and suggest some modifications to this approach. In particular we discuss how to evaluate the influence of a subgraph to the lifetime measure and introduce the notion of the order of a path. This notion is useful if we consider a possible extension to the set of working paths in order to support the traffic for the time that is needed for installation of new facilities.

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Mathematics Subject Classification: Primary: 90C05 ,90C90 ; Secondary:90C35.

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