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Resource management is a very important feature in the grid computing environment. The matchmaking framework  provides a reasonable solution to resource management in distributed environment; it is composed of four important components as classified advertisement (classad), matchmaker protocol, matchmaking algorithm and claiming protocols . In this paper we proposed a fast and efficient searching method for matchmaking algorithm. The proposed algorithm reduces the searching time to a linear function from cubic function proposed in paper . We discussed briefly the working principles of the method, its performance and its limitations.