Abstract: As such a complex distributed grid computing system, this system wants to study the problems of the multiconstrained task expectance under the condition of limited capacity. So it behaves greatly important. Based on the unrcasondable uesing,we adressed the selective configuration of grid resources. This article analyzed the grid environment, data sharing and task scheduling, studing under the conditions of the limited capacity of the multi-constrained task expcctancc，to adress the selective configuration of grid resources. Considering the impact of multi tasking and resource constrained circumstances,a pulse function mathematical model was introduced and simulated to verify the feasibility of the model.

Key words: Grid, Grid selective resources, Multi-constrained