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Grid service composition has been recognized as a flexible way for resource sharing and application integration since appearance of service-oriented architecture. Approaches are needed to select service candidates with various Quality of Service (QoS) levels according to use's performance requirements. In this paper We model this problem as the Multi-Constrained Optimal Path Selection Problem (MCOP), due to the dynamic property of grid service, adaptive mechanism is introduced to ensure the whole QoS when some service candidates fail. An algorithm QAGSS is proposed. Simulation results show that QAGSS has greater success rate and lower cost than previous algorithms.