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With increasing threats by large attacks or disasters, the time has come toreconstruct network infrastructures such as communication or transportationsystems rather than to recover them as before in case of accidents, becausemany real networks are extremely vulnerable. Thus, we consider self-healingmechanisms by rewirings (reuse or addition of links) to be sustainable andresilient networks even against malicious attacks. In distributed local processfor healing, the key strategies are the extension of candidates of linked nodesand enhancing loops by applying a message-passing algorithm inspired fromstatistical physics. Simulation results show that our proposed combination ofring formation and enhancing loops is particularly effective in comparison withthe conventional methods, when more than half damaged links alive or arecompensated from reserved ones.

Effective Self-Healing Networks against Attacks or Disasters in Resource Allocation Control