K-Shortest Simple Paths Using Biobjective Path Search

09/19/2023

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by   Pedro Maristany de las Casas, et al.

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In this paper we introduce a new algorithm for the k-Shortest Simple Paths (k) problem with an asymptotic running time matching the state of the art from the literature. It is based on a black-box algorithm due to <cit.> that solves at most 2k instances of the Second Shortest Simple Path (2) problem without specifying how this is done. We fill this gap using a novel approach: we turn the scalar 2 into instances of the Biobjective Shortest Path problem. Our experiments on grid graphs and on road networks show that the new algorithm is very efficient in practice.