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Summary form only given. We discuss a novel framework for policy based scheduling in resource allocation of grid computing. The framework has several features. First, the scheduling strategy can control the request assignment to grid resources by adjusting usage accounts or request priorities. Second, Efficient resource management is achieved by assigning usage quotas to intended users. Third, the scheduling method supports reservation based grid resource allocation. Fourth, quality of service feature allows special privileges to various classes of requests. Experimental results demonstrate the usefulness of the framework.