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July  2012, 8(3): 639-649. doi: 10.3934/jimo.2012.8.639

An extended lifetime measure for telecommunications networks: Improvements and implementations

Zari Dzalilov 1, , Iradj Ouveysi 2, and  Tolga Bektaş 2,

1. 

Centre for Informatics and Applied Optimization, The School of Science, Information Technology and Engineering, University of Ballarat, Victoria, Australia
2. 

ARC Special Research Centre for Ultra-Broadband Information Networks (CUBIN), Electrical and Electronic Engineering (EEE) Department, The University of Melbourne, Victoria 3010, Australia, Australia

Received  September 2011 Revised  January 2012 Published  June 2012

Predicting the lifetime of a network is a stochastic and very hard task. Sensitivity analysis of a network in order to identify the weakest points in the network, provides valuable knowledge to draw an optimum investment strategy for the expansion of the networks for the network carriers. To achieve this goal, a new measure, called topology lifetime, was recently proposed for measuring the performance of a telecommunication network. This measure not only allows to perform a sensitivity analysis of the networks, but also it provides the means to compare the different topologies with respect to the ability of the network in supporting growth in network traffic before new capacity/facility is installed. This paper addresses some improvements upon the previously defined measures and presents the implementation results of the various lifetime measure methodologies. Computational analysis on some commonly used topologies show how the new measure can be utilized in assessing network performance.
Keywords: linear programming., Telecommunications, network performance, lifetime.
Mathematics Subject Classification: Primary: 58F15, 58F17; Secondary: 53C3.
Citation: Zari Dzalilov, Iradj Ouveysi, Tolga Bektaş. An extended lifetime measure for telecommunications networks: Improvements and implementations. Journal of Industrial and Management Optimization, 2012, 8 (3) : 639-649. doi: 10.3934/jimo.2012.8.639
References:
[1]

Z. Dzalilov, I. Ouveysi and A. Rubinov, A lifetime measure for telecommunication network: Theoretical aspects, in "Proceedings of ICON2003: The 11$^th$ IEEE International Conference on Networks," 28 Sept.-1 Oct., (2003), 75-79.

[2]

Z. Dzalilov, I. Ouveysi and A. Rubinov, An extended lifetime measure for telecommunication network, Journal of Industrial and Management Optimization, 4 (2008), 329-337.

[3]

N. F. Maxemchuk, I. Ouveysi and M. Zukerman, A quantitative measure for telecommunications networks topology design, IEEE/ACM Transactions on Networking, 13 (2005), 731-742. doi: 10.1109/TNET.2005.852889.

show all references

References:
[1]

Z. Dzalilov, I. Ouveysi and A. Rubinov, A lifetime measure for telecommunication network: Theoretical aspects, in "Proceedings of ICON2003: The 11$^th$ IEEE International Conference on Networks," 28 Sept.-1 Oct., (2003), 75-79.

[2]

Z. Dzalilov, I. Ouveysi and A. Rubinov, An extended lifetime measure for telecommunication network, Journal of Industrial and Management Optimization, 4 (2008), 329-337.

[3]

N. F. Maxemchuk, I. Ouveysi and M. Zukerman, A quantitative measure for telecommunications networks topology design, IEEE/ACM Transactions on Networking, 13 (2005), 731-742. doi: 10.1109/TNET.2005.852889.

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