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This paper discusses policy-based scheduling techniques on heterogeneous resource for multimedia services to deal with the demands of next-generation multimedia applications on grid computing environment. The proposed scheduling algorithm has the following features, which can be utilized on grid computing environment. First, the algorithm supports the resource usage constrained scheduling. A grid consists of the resources that are owned by decentralized institutions. Second, the algorithm performs the optimization-based scheduling. It provides an optimal solution to the grid resource allocation problem. Third, the algorithm assumes that a set of resources is distributed geographically and heterogeneous in nature. Fourth, the scheduling method dynamically adjusts to the grid status. It tracks the current workload of the resources. The performance of the proposed algorithm is evaluated with a set of predefined metrics. In addition to show the simulation results for the out-performance of the policy-based scheduling a set of experiment is performed on open science grid.