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Natural disasters require repairing all damaged components in electricitydistribution networks. Optimal scheduling repair crews to minimize theaggregate duration of interruptions reduces the harm. We consider the fact thatthe number of switches is much smaller than the number of edges. The problem ismodeled by a parallel identical machine scheduling with group soft precedenceconstraints to minimize the total weighted energization time. We propose anLP-based list scheduling algorithm and a conversion algorithm and analyze theirtheoretical performances.

Post-disaster Repair Scheduling in Partially Automated Electricity Distribution Networks