Abstract

The large-scale communication systems and computer networks provide flexible, efficient, and highly available services to their users. However, the practical large-scale systems result in unpredictable, fault-tolerant, often detrimental outcomes. This leads to developing and designing analytical models to understand and predict of complex system behaviour in order to ensure availability of large-scale systems. In this paper, analytical modelling and optimization analysis are presented for large-scale systems. The key contribution of this paper is twofold. First, a generic approximate solution approach is adapted and developed for performability modelling which considers performance and availability issues of large number of nodes with multi-repairmen. The analytical model and solution presented here are capable of considering large number of nodes up to thousands and able to incorporate availability issues of the system. Second and foremost, the relationship between the number of nodes and the number of repairmen is presented with an optimization analysis for large-scale systems. In order to show the efficacy and the accuracy of the proposed approach, the results obtained from the analytical model is validated with the results obtained from the simulations.

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