Grid computing consists of achieving an effectual clustering of the valuable resources having dissimilar locations which will deal with real time scenarios. The grid follows the dispersed procedures having heavy workloads which can be in the form of the traffic files from different locations. Grid computing is related to the extraordinary performance systems like computer clustering or we can say nodes in the grid in such a manner that each set of the node performs different tasks and applications. Grid computers also deals with networks with topology variations and diverse geography which is not essentially to connect substantially to the cluster of computers. As the number of traffic increases day by day, is the challenging task to complete all the allocated processes in the limited time intervals. So this research deals with the efficient scheduling and optimization approach for the resource management using Ant colony optimization and round robin scheduling to obtain low execution intervals with less error rate probabilities. The whole simulation is done in MATLAB environment.