ROLE OF MATHEMATICAL MODEL IN CLOUD COMPUTING

Abstract

Various Mathematical Model plays an important role in the modeling of Cloud Computing. Cloud Computing environment is the task scheduling which plays major role of efficiency for variouscloud computing facilities.Task scheduling means the workspaceto allocate best suitable resources for the task to be executedwith the consideration of different kinds of parameters like timeliness, costfunction, scalability, reliability, availability,utilization of resource, etc..The proposed model algorithm considers reliability, utilization of resource and availability.Most task scheduling algorithms do not consider the some of the aspects like scalability, reliability and availability of workspace (Cloud Computing Environment) because of various parameters. There is one of the best model using Mutation of Load Balancing by Particle of Swarm Optimization (MLBPSO)which is based on task scheduling.MLBPSO is based on schedule and allocation for cloud computing that takes the task into account reliability, execution time, transmission time, round trip time, transmission cost and load balancing between tasks and virtual machine. A virtual machine (VM) is an Operating System(OS)or application environment that is installed on software, which imitates several dedicated hardware. The end user has the same experience on a virtual machine as they would have on dedicated hardware.Created MLBPSO can play a important role in reliability of cloud computing environment and also there are chances of rescheduling of various task