6533b854fe1ef96bd12af68f
RESEARCH PRODUCT
Finding k -dissimilar paths with minimum collective length
Ulf LeserDavid BlumenthalPanagiotis BourosTheodoros ChondrogiannisJohann Gampersubject
FOS: Computer and information sciencesComputer scienceDatabases (cs.DB)0102 computer and information sciences02 engineering and technology01 natural sciencesSet (abstract data type)Exact algorithmComputer Science - Databases010201 computation theory & mathematicsIterated function020204 information systemsComputer Science - Data Structures and AlgorithmsShortest path problemScalabilityPath (graph theory)0202 electrical engineering electronic engineering information engineeringData Structures and Algorithms (cs.DS)Pairwise comparisonPruning (decision trees)Algorithmdescription
Shortest path computation is a fundamental problem in road networks. However, in many real-world scenarios, determining solely the shortest path is not enough. In this paper, we study the problem of finding k-Dissimilar Paths with Minimum Collective Length (kDPwML), which aims at computing a set of paths from a source s to a target t such that all paths are pairwise dissimilar by at least \theta and the sum of the path lengths is minimal. We introduce an exact algorithm for the kDPwML problem, which iterates over all possible s-t paths while employing two pruning techniques to reduce the prohibitively expensive computational cost. To achieve scalability, we also define the much smaller set of the simple single-via paths, and we adapt two algorithms for kDPwML queries to iterate over this set. Our experimental analysis on real road networks shows that iterating over all paths is impractical, while iterating over the set of simple single-via paths can lead to scalable solutions with only a small trade-off in the quality of the results.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2018-11-06 | Proceedings of the 26th ACM SIGSPATIAL International Conference on Advances in Geographic Information Systems |