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MCT is a widely used heuristic for scheduling tasks onto Grid platforms. However, when dealing with many tasks, MCT tends to dramatically delay already mapped task completion time, while scheduling a new task. In this paper we propose heuristics based on two features: the historical trace manager that simulates the environment and the perturbation that defines the impact a new allocated task has on already mapped tasks. Our simulations and experiments on a real environment show that the proposed heuristics outperform MCT.