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International Conference on Intelligent Systems, Metaheuristics & Swarm Intelligence (ISMSI)

Testing Classical and Hybrid Quantum Solvers for Special and Euclidean Traveling Salesman Problem Instances

Jedidiah T. Ramos, Cherry Lyn C. Sta. Romana

Published Apr 24, 2026• 0 citations
Publisher

Abstract

A classical algorithm is tested against D-Wave hybrid quantum annealers for special cases of the Traveling Salesman Problem where the weights of the edges in a graph form an arithmetic progression. The classical algorithm, Christofides, Nearest Neighbor, Simulated Annealing, Ant Colony Optimization, Genetic Algorithm, and D-Wave hybrid quantum annealers are also tested on the Euclidean Traveling Salesman Problem. D-Wave never outperformed the classical algorithm within its specified scope but outperformed all classical algorithms and heuristics for the Euclidean Traveling Salesman Problem before being overtaken at larger problem sizes.

DOI
10.1145/3820820.3820844

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A classical algorithm is tested against D-Wave hybrid quantum annealers for special cases of the Traveling Salesman Problem where the weights of the edges in a graph form an arithmetic progression. The classical algorithm, Christofides, Nearest Neighbor, Simulated Annealing, Ant Colony Optimization, Genetic Algorithm, and D-Wave hybrid quantum annealers are also tested on the Euclidean Traveling Salesman Problem. D-Wave never outperformed the classical algorithm within its specified scope but outperformed all classical algorithms and heuristics for the Euclidean Traveling Salesman Problem before being overtaken at larger problem sizes.
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