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The recent technological advancements have led to an increase in demand of the internet services and hence the power used by the Internet Data Centers has been on an all-time high. Due to this enormous energy consumption of the data centers there is a significant increase in the load at locations where they are built imposing a major impact on the electric grid. In this paper a survey is conducted on grid-aware design optimization problem for cloud computing systems. Thereby, the load in the grid is balanced reasonably by carefully distributing the service requests among the data centers. By doing so the reliability and the robustness of the grid with respect to link breakage and load demand variations is also improve. The optimization problem is studied using Linear Programming Optimization Technique, Minmax Optimization Technique, Genetic Algorithm and Harmony Search Algorithm.