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With the emergence of Cloud computing and Grid Computing, Distributed Scheduling (DS) problems have attracted attention by researchers in recent years. Distributed scheduling requires an uneven distribution of tasks on individual processors. Different heuristic based algorithms to perform the task scheduling have been proposed by the various researchers. This paper offers a new strategy for task scheduling which is based on genetic algorithm. The final results show that proposed algorithm is an improvisation over Standard Genetic Algorithm in terms of makespan and resource utilization.