Polynomial-Time Approximation Schemes for k-center, k-median, and Capacitated Vehicle Routing in Bounded Highway Dimension
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Publication:5009565
DOI10.4230/LIPIcs.ESA.2018.8OpenAlexW2889438244MaRDI QIDQ5009565
David Saulpic, Amariah Becker, Philip N. Klein
Publication date: 4 August 2021
Full work available at URL: https://arxiv.org/abs/1707.08270
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Uses Software
Cites Work
- A quasipolynomial time approximation scheme for Euclidean capacitated vehicle routing
- Clustering to minimize the maximum intercluster distance
- VC-Dimension and Shortest Path Algorithms
- PTAS FOR k-TOUR COVER PROBLEM ON THE PLANE FOR MODERATELY LARGE VALUES OF k
- Highway Dimension and Provably Efficient Shortest Path Algorithms
- A $$(1+{\varepsilon })$$ ( 1 + ε ) -Embedding of Low Highway Dimension Graphs into Bounded Treewidth Graphs
- Fixed Parameter Approximations for k-Center Problems in Low Highway Dimension Graphs
- Approximate clustering via core-sets
- A Best Possible Heuristic for the k-Center Problem
- Bounds and Heuristics for Capacitated Routing Problems
- Capacitated arc routing problems
- Greedy Strikes Back: Improved Facility Location Algorithms
- Local Search Yields Approximation Schemes for $k$-Means and $k$-Median in Euclidean and Minor-Free Metrics
- Local Search Heuristics for k-Median and Facility Location Problems
- An Improved Approximation for k -Median and Positive Correlation in Budgeted Optimization
- A Quasi-Polynomial-Time Approximation Scheme for Vehicle Routing on Planar and Bounded-Genus Graphs
- A new approximation algorithm for the capacitated vehicle routing problem on a tree
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