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With the evolution of Grid technology, the quality of service assurance includes service level agreement and attainment is becoming more and more important. There is strong correlation between the resource allocation and the service level guarantee in the grid environment. And the large traffic variations of grid service complex the resource allocation. In this paper, we formally define and analyze these relationships and present a constrained mathematical model for resource allocation. Moreover, we show how to integrate this model into the online system of on-demand resource allocation which can guarantee the service level to compensate environmental changes. The simulation results show that our model and solution are practical and efficient. [ABSTRACT FROM AUTHOR]