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Ensuring quality of services and reducing the blocking probability is one of the important cases in the environment of grid computing. In this paper, we present a deadline aware algorithm to give solution to ensuring the end-to-end QoS and improvement of the efficiency of grid resources. Investigating requests as a group in the start of time slot and trying to accept the highest number of them. Totally can cause to increase the possibility of acceptance of requests and also increase efficiency of grid resources. Deadline aware algorithm reaches us to this goal. Simulations show that the deadline aware algorithm improves efficiency of advance reservation resources in both case. Possibility of acceptance of requests and optimizing resources in short time slot and also in rate of high entrance of requests in each time.