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arXiv · 2309.10377

K-Shortest Simple Paths Using Biobjective Path Search

Pedro Maristany de las Casas·Antonio Sedeño-Noda·Ralf Borndörfer·Max Huneshagen
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Abstract

In this paper we introduce a new algorithm for the \emph{$k$-Shortest Simple Paths} (\kspp{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 \citet{Roditty12} that solves at most $2k$ instances of the \emph{Second Shortest Simple Path} (\kspp{2}) problem without specifying how this is done. We fill this gap using a novel approach: we turn the scalar \kspp{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.

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Pedro Maristany de las Casas, Antonio Sedeño-Noda, Ralf Borndörfer, Max Huneshagen. 2023-09-19. K-Shortest Simple Paths Using Biobjective Path Search. https://arxiv.org/abs/2309.10377

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