Preventive Start-time Optimization to Determine Link Weights against Multiple Link Failures

This paper proposes a network design model to minimize the worst-case network congestion against multiple link failures, where link weights of open shortest path first (OSPF) link weights are determined at the beginning of network operation. In the proposed model, which is called a preventive start-time optimization model with multiple-link failure (PSO-M), the number of multiple link failure patterns to support is restricted by introducing a probabilistic constraint called probabilistic guarantee. Under the condition that the total probability of non-connected failure patterns does not exceed a specified probability, PSO-M supports only connected failure patterns to determine the link weights. Numerical results show the effectiveness of proposed model.