A transformation technique for the clustered generalized traveling salesman problem with applications to logistics

P Baniasadi, M Foumani, K Smith-Miles… - European Journal of …, 2020 - Elsevier
The clustered generalized traveling salesman problem (CGTSP) is an extension of the
classical traveling salesman problem (TSP), where the set of nodes is divided into clusters of …

Classifying and benchmarking quantum annealing algorithms based on quadratic unconstrained binary optimization for solving NP-hard problems

JR Jiang, CW Chu - IEEE Access, 2023 - ieeexplore.ieee.org
Quantum annealing has the potential to outperform classical transistor-based computer
technologies in tackling intricate combinatorial optimization problems. However, ongoing …

Hamiltonian cycles on ammann-beenker tilings

S Singh, J Lloyd, F Flicker - Physical Review X, 2024 - APS
We provide a simple algorithm for constructing Hamiltonian graph cycles (visiting every
vertex exactly once) on a set of arbitrarily large finite subgraphs of aperiodic two …

Benchmarks and Recommendations for Quantum, Digital, and GPU Annealers in Combinatorial Optimization

JR Jiang, YC Shu, QY Lin - IEEE Access, 2024 - ieeexplore.ieee.org
Annealers leverage quadratic unconstrained binary optimization (QUBO) formulas to
address combinatorial optimization problems (COPs) and have shown potential to …

FHCP Challenge Set: The first set of structurally difficult instances of the Hamiltonian cycle problem

M Haythorpe - arXiv preprint arXiv:1902.10352, 2019 - arxiv.org
The FHCP Challenge Set, comprising of 1001 instances of Hamiltonian cycle problem, is
introduced. This set is the first to contain instances of Hamiltonian cycle problem for which …

[HTML][HTML] Sequencing jobs with asymmetric costs and transition constraints in a finishing line: A real case study

N Álvarez-Gil, SÁ García, R Rosillo… - Computers & Industrial …, 2022 - Elsevier
Production scheduling plays a vital role in industrial manufacturing due to the potential
impact on the production costs and service levels of a company. It consists in finding the best …

Redesigning the wheel for systematic travelling salesmen

T Strutz - Algorithms, 2023 - mdpi.com
This paper investigates the systematic and complete usage of k-opt permutations with k= 2…
6 in application to local optimization of symmetric two-dimensional instances up to 10 7 …

A Memetic Algorithm To Find a Hamiltonian Cycle in a Hamiltonian Graph

S Ali, P Moscato - arXiv preprint arXiv:2403.07886, 2024 - arxiv.org
We present a memetic algorithm (\maa) approach for finding a Hamiltonian cycle in a
Hamiltonian graph. The\ma is based on a proven approach to the Asymmetric Travelling …

Solving the multi-objective Hamiltonian cycle problem using a Branch-and-Fix based algorithm

M Murua, D Galar, R Santana - Journal of Computational Science, 2022 - Elsevier
The Hamiltonian cycle problem consists of finding a cycle in a given graph that passes
through every single vertex exactly once, or determining that this cannot be achieved. In this …

Hybridham: A novel hybrid heuristic for finding hamiltonian cycle

KR Seeja - Journal of Optimization, 2018 - Wiley Online Library
Hamiltonian Cycle Problem is one of the most explored combinatorial problems. Being an
NP‐complete problem, heuristic approaches are found to be more powerful than …