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The problem of multiple fault diagnosis strategy for redundant system is considered. The fault-test relation matrix model is analyzed first. Based on the exchange of the relation matrix model,Rollout algorithm is used to improve the information entropy based diagnosis strategy. Then,a new diagnosis strategy for multiple fault redundant system is proposed. This method doesn't need Computing minimal compact set,and has the characteristic that test first and repair last. It's more useful for practical projects. The example demonstrates that the strategy can get lower expect cost than the existing method.