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Competitive percolation strategies for network recovery.

Andrew M Smith1, Márton Pósfai2, Martin Rohden2

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Optimizing infrastructure repair after disasters requires considering supply and demand, not just network structure. A new model balances network topology with component needs for efficient, cost-effective restoration.

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Area of Science:

  • Network science
  • Civil engineering
  • Operations research

Background:

  • Restoring critical infrastructure after catastrophic events is crucial.
  • Existing methods for repair order optimization often focus solely on network structure or complex component details, limiting scalability.
  • There is a need for methods that bridge these approaches.

Purpose of the Study:

  • To develop a novel, scalable model for optimizing the repair order of elements in critical infrastructure systems, such as power grids.
  • To account for both network structure and component-level features like node demand and supply.
  • To improve upon traditional network science methods that may be cost-inefficient.

Main Methods:

  • Proposed a competitive percolation recovery model incorporating node demand, supply, and network structure.
  • Analyzed realistic recovery strategies, identifying over- and undersupply penalties as key cost drivers.
  • Investigated the impact of network characteristics on recovery efficiency using synthetic power grids.

Main Results:

  • Traditional methods maximizing the largest connected component are cost-inefficient.
  • The proposed model approximates realistic recovery strategies and suppresses the growth of the largest connected component.
  • High structural redundancy in networks reduces total cost and speeds recovery but demands more information.
  • Decentralized supply generally benefits recovery efforts.

Conclusions:

  • A novel competitive percolation model offers a more cost-effective and scalable approach to infrastructure repair optimization.
  • Network structure and component features (demand/supply) are both critical for efficient restoration.
  • Network redundancy and decentralized supply positively influence recovery outcomes.