The shortest path network interdiction (SPNI) problem poses significant computational challenges due to its NP-hardness. Current solutions, primarily based on integer programming methods, are inefficient for large-scale instances. In this paper, we introduce a novel hybrid algorithm that can utilize Ising Processing Units (IPUs) alongside classical solvers. This approach decomposes the problem into manageable sub-problems, which are then offloaded to the slow but high-quality classical solvers or IPU. Results are subsequently recombined to form a global solution. Our method demonstrates comparable quality to existing whole problem solvers while reducing computational time for large-scale instances. Furthermore, our approach is amenable to parallelization, allowing for simultaneous processing of decomposed sub-problems.
Cite
@article{arxiv.2307.07577,
title = {Decomposition Based Refinement for the Network Interdiction Problem},
author = {Krish Matta and Xiaoyuan Liu and Ilya Safro},
journal= {arXiv preprint arXiv:2307.07577},
year = {2023}
}