Analysis of reliability for multi-ring interconnection of RPR networks

Jia Liu; Depeng Jin; Lieguang Zeng; Yong Li

doi:10.1117/12.804324

19 November 2008 Analysis of reliability for multi-ring interconnection of RPR networks

Jia Liu, Depeng Jin, Lieguang Zeng, Yong Li

Proceedings Volume 7137, Network Architectures, Management, and Applications VI; 71371C (2008) https://doi.org/10.1117/12.804324
Event: Asia-Pacific Optical Communications, 2008, Hangzhou, China

Abstract

In this paper, the reliability and MTTF (Mean Time to Failure) for multi-ring RPR (Resilient Packet Ring) are calculated on the conditions of single-link failures, double-link failures and no failure, respectively. The parameters such as the total number of stations N, the number of the sub-rings R, and the distribution of N_i which represents the number of the stations in the i-th sub-ring (1≤i≤R) are contained in the formulas. The relationship between the value of the reliability/MTTF and the parameters N, R and N_i is analyzed. The result shows that reliability/MTTF of the RPR multi-rings is increasing while the variance of N_i is decreasing. It is also proved that the value of the reliability/MTTF is maximum when N_i=N_j ( i ≠j and 1≤i, j≤R) by using Lagrange multipliers method, i.e. the condition of the optimal reliability of multi-ring RPR is satisfied when var(N_i) =0.

Citation Download Citation

Jia Liu, Depeng Jin, Lieguang Zeng, and Yong Li "Analysis of reliability for multi-ring interconnection of RPR networks", Proc. SPIE 7137, Network Architectures, Management, and Applications VI, 71371C (19 November 2008); https://doi.org/10.1117/12.804324

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