Mixture of Experts (MoE) models have emerged as a powerful framework in machine learning, offering a scalable and efficient approach to solving complex tasks by leveraging a mixture of specialized models, or "experts," each of which is responsible for different aspects of the input data. By activating only a small subset of experts at a time, MoE models achieve high performance while maintaining computational efficiency, making them particularly well-suited for large-scale applications. This survey provides an overview of the MoE model, discussing its foundational principles, recent advancements, and current challenges. We examine the role of the gating mechanism, the trade-off between model complexity and computational efficiency, and the challenges of training stability, expert redundancy, and scalability. Additionally, we highlight recent innovations in sparse activation, hybrid architectures, and integration with metalearning and self-supervised learning. Despite the progress made, challenges related to interpretability, fairness, and deployment in real-world systems remain. Finally, we explore future directions for MoE research, including smarter expert selection, multimodal learning, and edge deployment. This survey aims to provide a comprehensive understanding of MoE models and their potential to drive future advancements in artificial intelligence.