Existing Methods and techniques utilized by Peer-to-Peer (P2P) systems could address the scalability issue faced by Grid systems. Today's Grid systems have to deal with potentially a large number of resources which their status changes over time. Therefore, accurate, fast and scalable discovery of resources are key issues that Grid systems should deal with. Typical P2P systems enable sharing static resources, such as files, among users. However, resources in Grids are dynamic. In this paper, we propose a solution for efficient processing of range queries on available resources. We examine our proposed method using simulation data. The experimental results show that our proposed method improves the performance of existing methods in terms of precision of query processing, average hit rate and network bandwidth consumption.