Virtualization of the cloud data center (CDC) is achieved by operating multiple virtual machines (VM) in parallel processing on a single cloud server, as cloud users increase rapidly. Using dynamic virtual machine migration can help meet the growing demand for resources like compute, storage, and connectivity. The majority of resource management strategies are employed for single or multiple virtual machine migrations in order to optimize the cloud data center’s performance and efficiency. The workload that comes with a rapid rise in cloud users also causes a corresponding reduction in QoS (service quality). Only greater computing facilities, managing huge numbers of cloud users, and cutting down on time and energy spent in cloud data centers can be achieved with the help of the potent live VM migration technique. A modern cloud computing system’s main component is live virtual machine migration. This document examines all the most recent live virtual machine migration approaches, including their benefits and drawbacks. There has been a brief mention of their future range study and deployment. Through simulation, the pre-copy and post-copy VM migration approaches have been compared with respect to CPU usage, memory usage, and network characteristics. This study examines the important components of virtual machine migration strategies and evaluates a variety of them while conducting a thorough examination of the current schemes. Key objectives guide the exploration of current systems. Some open research issues are also discussed in the domain of virtual machine migration.