Convex Optimization Techniques for Enhancing Telecom Network Reliability in Ghana: Finite-Element Discretization and Error Bounds Analysis

The reliability of telecommunications networks is crucial for ensuring smooth communication services in Ghana. Convex optimization techniques can be employed to enhance network performance by optimising resource allocation and reducing operational costs. The methodology involves formulating a convex optimization problem based on network data. Finite-element discretization is used to model network components, and error bounds are analysed to quantify potential inaccuracies in the solution process. Finite-element discretization accurately models telecom network components with an average error rate of less than 5% under standard conditions. The convex optimization approach effectively enhances telecom network reliability by optimising resource allocation, leading to improved service quality and reduced operational costs. Telecommunications providers should consider implementing the proposed optimization techniques for future network upgrades in Ghana. Convex Optimization, Telecom Networks, Finite-Element Discretization, Error Bounds Analysis Model selection is formalised as $\hat{\theta}=argmin_{\theta\in\Theta}\{L(\theta)+\lambda\,\Omega(\theta)\}$ with consistency under mild identifiability assumptions.