Convex Hull and Incremental Insertion for a TSP Solution

In this paper, current researchers have dealt with heuristic solution of famous Traveling Salesman Problem. Being an NP-hard problem, since its formulation, several heuristic solutions have been tried. The greedy mechanism is one of the well-known design styles of the algorithm. The computational geometric algorithm, using a convex hull, has been experimented to cover the space into a convex polygon. It can be done easily by any well-known algorithm. Next, it has been shown that within the convex problem space, an optimal possible Hamiltonian cycle has been found.This Hamiltonian cycle is the solution of the TSP. Experiment on the benchmark test cases and the theoretical findings.

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Publication Details

Published
2025-03-06
DOI
https://doi.org/10.1109/rait65068.2025.11089067
Primary Topic
Optimization and Search Problems
Type
article
Field-Weighted Citation Impact
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article

Convex Hull and Incremental Insertion for a TSP Solution

Tuli Bakshi, Ishani Das
Optimization and Search Problems
article

Convex Hull and Incremental Insertion for a TSP Solution

Tuli Bakshi, Ishani Das
article en

Abstract

In this paper, current researchers have dealt with heuristic solution of famous Traveling Salesman Problem. Being an NP-hard problem, since its formulation, several heuristic solutions have been tried. The greedy mechanism is one of the well-known design styles of the algorithm. The computational geometric algorithm, using a convex hull, has been experimented to cover the space into a convex polygon. It can be done easily by any well-known algorithm. Next, it has been shown that within the convex problem space, an optimal possible Hamiltonian cycle has been found.This Hamiltonian cycle is the solution of the TSP. Experiment on the benchmark test cases and the theoretical findings.

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