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In this paper, we propose a mechanism for coping with double-link failures in an autonomous and distributed manner. We call it Tie-set Based Fault Tolerance (TBFT) because it utilizes tie-sets, which represent a set of the edges comprising a loop within the graph that represents the network. An autonomous distributed control method based on dividing a network into a set of tie-sets, whose union covers every edge in the network, has been verified to be more effective than traditional tree-based restoration techniques in case of single link failure. The proposed method efficiently and gracefully handle double-link failures and also decrease the communication overhead incurred during network configuration. We demonstrate these results by simulating and comparing TBFT with the traditional approach of using Rapid Spanning Tree Protocol (RSTP).