Pith. sign in

REVIEW

A Convex Hull Cheapest Insertion Heuristic for the Non-Euclidean TSP

Not yet reviewed by Pith; the record is open.

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2302.06582 v5 pith:IYQIFYN4 submitted 2023-02-05 cs.AI cs.SYeess.SY

A Convex Hull Cheapest Insertion Heuristic for the Non-Euclidean TSP

classification cs.AI cs.SYeess.SY
keywords non-euclideanconvexhullalgorithmcheapesteuclideanheuristicinsertion
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
0 comments
read the original abstract

The convex hull cheapest insertion heuristic produces good solutions to the Euclidean Traveling Salesperson Problem, but it has never been extended to the non-Euclidean problem. This paper uses multidimensional scaling to first project the points from a non-Euclidean space into a Euclidean space, enabling the generation of a convex hull that initializes the algorithm. To evaluate the proposed algorithm, non-Euclidean spaces are created by adding separators to the TSPLIB data-set, or by using the L1 norm as a metric.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.