Diffusion models have become a cornerstone of generative modeling, excelling in tasks such as image creation, text synthesis, audio generation, and scientific simulations. These models rely on iterative refinement processes to generate high-quality outputs, but their computational demands remain a significant bottleneck. The need for hundreds or thousands of sampling steps often limits their practicality in real-time applications, resource-constrained environments, and energy-efficient systems. In recent years, extensive efforts have been made to enhance the efficiency of diffusion models, addressing their inherent computational complexity. Key advancements include the development of faster sampling algorithms, model compression techniques like pruning and quantization, and knowledge distillation strategies to reduce model size without compromising quality. Additionally, the integration of hardware-specific optimizations, such as GPU and TPU acceleration, has enabled diffusion models to perform efficiently on both cloud platforms and edge devices. This survey systematically examines the state-of-the-art techniques for improving the efficiency of diffusion models. It categorizes these innovations into three primary areas: sampling acceleration, model optimization, and hardware-aware design. Furthermore, it highlights the transformative impact of efficient diffusion models in applications ranging from creative industries and real-time systems to scientific research and sustainable AI. By analyzing current trends and identifying open research directions, this survey aims to provide a roadmap for advancing the scalability and accessibility of diffusion models across diverse domains.