This paper introduces an innovative AI-driven framework designed to optimize both energy efficiency and network resilience within green computing environments. The core contribution lies in the integration of multi-agent reinforcement learning (MARL) with long short-term memory (LSTM) networks for workload prediction, enabling dynamic resource allocation that adapts to fluctuating demands while maintaining network reliability. The framework employs a multi-objective optimization approach, considering both energy consumption and fault tolerance simultaneously. The authors model the computing network as a graph, where nodes represent computing units and edges represent network connections, and they formulate the resource allocation problem as a partially observable Markov game. The MARL controller, utilizing Proximal Policy Optimization (PPO), learns optimal resource allocation policies by interacting with the simulated environment. The LSTM module predicts future workloads based on historical data, allowing the system to proactively adjust resource allocation. The dynamic resource allocation module then implements the decisions made by the MARL controller, considering the predicted workload and the current state of the network. The empirical findings, obtained through simulations, demonstrate significant improvements over traditional methods, achieving a 27.2% reduction in energy consumption and a 58.4% improvement in Mean Time To Repair (MTTR). The authors benchmark their results against industry leaders, further emphasizing the practical applicability of their proposed framework. The work contributes to the field of AI for Science by showcasing how automated learning can discover non-obvious optimization strategies. The paper also explores the limitations of the proposed approach, acknowledging the simulation-to-reality gap and the computational overhead of training the MARL model. Overall, this paper presents a promising approach to addressing the complex challenges of energy efficiency and network resilience in green computing, highlighting the potential of AI-driven solutions.