African Geometry and Topology (Pure Science) | 28 August 2006

Monte Carlo Estimation with Variance Reduction for Numerical Optimization of Telecom Network Reliability in Senegal

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DOI: https://doi.org/10.5281/zenodo.18828601

Abstract

The telecommunications industry in Senegal is crucial for economic development, necessitating robust network reliability to ensure service quality and customer satisfaction. Monte Carlo methods will be employed to simulate various scenarios of network traffic and failures. Variance reduction strategies will be applied to enhance the efficiency of the estimation process. The theoretical framework provides a robust method for optimising telecom network reliability using advanced statistical techniques. Telecom operators should consider implementing these methods to improve network resilience and service quality. Model selection is formalised as $\hat{\theta}=argmin_{\theta\in\Theta}\{L(\theta)+\lambda\,\Omega(\theta)\}$ with consistency under mild identifiability assumptions.