2021
DOI: 10.48550/arxiv.2111.08138
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Improved Approximations for CVRP with Unsplittable Demands

Abstract: In this paper, we present improved approximation algorithms for the (unsplittable) Capacitated Vehicle Routing Problem (CVRP) in general metrics. In CVRP, introduced by Dantzig and Ramser (1959), we are given a set of points (clients) V together with a depot r in a metric space, with each v ∈ V having a demand d v > 0, and a vehicle of bounded capacity Q. The goal is to find a minimum cost collection of tours for the vehicle, each starting and ending at the depot, such that each client is visited at least once… Show more

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Cited by 2 publications
(2 citation statements)
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“…The later results by Friggstad and Swamy mentioned above imply a 16-approximation algorithm for the general school bus problem. 2 Subsequent to our work, Friggstad et al [15] very recently devised an improved approximation ratio for Capacitated Vehicle Routing.…”
Section: Related Workmentioning
confidence: 96%
“…The later results by Friggstad and Swamy mentioned above imply a 16-approximation algorithm for the general school bus problem. 2 Subsequent to our work, Friggstad et al [15] very recently devised an improved approximation ratio for Capacitated Vehicle Routing.…”
Section: Related Workmentioning
confidence: 96%
“…On general metrics, the first constant-factor approximation algorithm for the unsplittable CVRP was the iterated tour partitioning (ITP), which was proposed and analyzed in the 1980s by Haimovich and Rinnooy Kan [HR85] and Altinkemer and Gavish [AG87]. The approximation ratio for the unsplittable CVRP was only recently improved in work by Blauth, Traub, and Vygen [BTV21], and then further by Friggstad et al [FMRS21], so that the best-to-date approximation ratio stands at roughly 3.194.…”
Section: Introductionmentioning
confidence: 99%