This study introduces an algorithmic framework aimed at boosting the efficiency of cloud computing systems by employing connection pooling techniques. In the realm of cloud environments, optimizing performance is paramount to ensuring streamlined resource usage and meeting user requirements. Conventional methods of managing connections in cloud systems often lead to overhead and inefficiencies due to the constant creation and termination of connections. To tackle this issue, our proposed algorithmic framework utilizes connection pooling, a widely adopted technique in computer programming, to manage connections with greater efficiency. Through the consolidation and reuse of connections, our framework targets to diminish latency, enhance throughput, and improve overall system scalability. We validate and refine our algorithmic framework through simulations and experiments across diverse cloud computing scenarios, showcasing its efficacy in performance optimization while curbing resource consumption. Our findings underscore the potential of connection pooling techniques in alleviating performance bottlenecks and optimizing cloud infrastructure for varied workloads. This study contributes to the progression of cloud computing by presenting a pragmatic approach to enhancing system performance and scalability.