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In this paper we proposed GQSD algorithm that has created new technical method to decrease the maximum number of repetitions at generations also we will optimize the processing sources schedule at offered algorithm rather than previous optimization algorithms. GQSD is a novel algorithm that by defining new parameters and metrics, has decreased the delay and also response time of job. Also it satisfies the satisfaction level of servers. Several simulation results show that by using this new algorithm, a better makespan in total task process and a better performance of distributed system are being achieved. This way, quality of service in different levels of distributed processors is being increased and finally acknowledge delay of processes is being decreased significantly.