Optimizing load balancing in cloud-based healthcare systems is critical for improving system performance, particularly in terms of reducing latency, increasing throughput, and enhancing task completion time. This study investigates the impact of optimization algorithms, specifically Genetic Algorithm (GA) and Simulated Annealing (SA), on the efficiency of cloud resource allocation in healthcare applications. Additionally, we incorporate queuing theory and stochastic processes to model the task arrival and server load dynamics. By applying these optimization techniques, the system performance was evaluated, showing significant improvements in the key performance metrics. The results highlighted a 50% improvement in latency, 50% increase in throughput, and 25% reduction in task completion time. The optimized system demonstrated enhanced resource utilization, ensuring more efficient real-time data processing in cloud healthcare environments. The proposed approach shows promising results for future applications in dynamic healthcare workload management.