Cloud computing has emerged as highly demanding technology in recent years. The transformation of data and services towards cloud has reduced the increased expenditure on hardware and software in the market. The integration of cloud with many technologies like mobile, Internet of Things, etc. has brought new challenges in cloud computing. Researchers have applied various swarm intelligence, nature inspired, and hybrid algorithms to find a pare-to optimal solution for them. State of art optimization algorithms that are applied in solving these problems is presented in this paper. The applications of these algorithms in load balancing, scheduling, resource allocation, virtual machine allocation, and placement have been discussed and analyzed in cloud computing. The impact of these algorithms on quality of service is also analyzed to present some valuable suggestion.