Recently, the necessity of interconnection between wired Grid and wireless networks has grown up. In wireless Grid, an efficient resource management is essential in order to solve the problem of unreliability caused by intermittency of wireless since mission-critical service like e-Health is expected to be a main application in wireless Grid. In this letter, we consider replica management to provide a reliable resource management and computing, and propose Surrogate integrated PQRM (S-PQRM) architecture with cost adaptive replica management scheme. Through the theoretical analysis and simulation, we show a reliable and cost adaptive replica management scheme in aspects of reliability and cost performance within budget-constrained application.