This paper provides a comprehensive survey on Mobile Edge Computing (MEC), focusing on its architecture, computation offloading, and standardization efforts. MEC addresses the challenge of running computationally intensive applications on mobile devices by offloading them to the edge of the mobile network, reducing latency and energy consumption. The authors first describe key use cases and scenarios where MEC is applicable, such as consumer-oriented services, operator and third-party services, and network performance and QoE improvement services. They then survey existing MEC concepts, including small cell clouds (SCC), mobile micro clouds (MMC), fast moving personal clouds (MobiScud), follow me clouds (FMC), and CONCERT, comparing their architectures and deployment options. The paper also discusses the ETSI MEC standardization efforts, including the reference architecture and deployment options for MEC servers. Finally, the authors delve into the technical aspects of computation offloading, focusing on decision-making, resource allocation, and mobility management, and highlight lessons learned and open research challenges in the field.This paper provides a comprehensive survey on Mobile Edge Computing (MEC), focusing on its architecture, computation offloading, and standardization efforts. MEC addresses the challenge of running computationally intensive applications on mobile devices by offloading them to the edge of the mobile network, reducing latency and energy consumption. The authors first describe key use cases and scenarios where MEC is applicable, such as consumer-oriented services, operator and third-party services, and network performance and QoE improvement services. They then survey existing MEC concepts, including small cell clouds (SCC), mobile micro clouds (MMC), fast moving personal clouds (MobiScud), follow me clouds (FMC), and CONCERT, comparing their architectures and deployment options. The paper also discusses the ETSI MEC standardization efforts, including the reference architecture and deployment options for MEC servers. Finally, the authors delve into the technical aspects of computation offloading, focusing on decision-making, resource allocation, and mobility management, and highlight lessons learned and open research challenges in the field.