Traveling salesman problem: an overview of applications, formulations, and solution approaches

R Matai, SP Singh, ML Mittal - Traveling salesman problem …, 2010 - books.google.com
The traveling salesman problem (TSP) were studied in the 18th century by a mathematician
from Ireland named Sir William Rowam Hamilton and by the British mathematician named …

Certifying algorithms

RM McConnell, K Mehlhorn, S Näher… - Computer Science …, 2011 - Elsevier
A certifying algorithm is an algorithm that produces, with each output, a certificate or witness
(easy-to-verify proof) that the particular output has not been compromised by a bug. A user …

Generalize a small pre-trained model to arbitrarily large tsp instances

ZH Fu, KB Qiu, H Zha - Proceedings of the AAAI conference on artificial …, 2021 - ojs.aaai.org
For the traveling salesman problem (TSP), the existing supervised learning based
algorithms suffer seriously from the lack of generalization ability. To overcome this …

Reinforcement learning with combinatorial actions: An application to vehicle routing

A Delarue, R Anderson… - Advances in Neural …, 2020 - proceedings.neurips.cc
Value-function-based methods have long played an important role in reinforcement
learning. However, finding the best next action given a value function of arbitrary complexity …

H-tsp: Hierarchically solving the large-scale traveling salesman problem

X Pan, Y **, Y Ding, M Feng, L Zhao, L Song… - Proceedings of the …, 2023 - ojs.aaai.org
We propose an end-to-end learning framework based on hierarchical reinforcement
learning, called H-TSP, for addressing the large-scale Traveling Salesman Problem (TSP) …

[HTML][HTML] Adaptive ant colony optimization with node clustering applied to the travelling salesman problem

P Stodola, P Otřísal, K Hasilová - Swarm and Evolutionary Computation, 2022 - Elsevier
This article presents the Ant Colony Optimization algorithm to solve the Travelling Salesman
Problem. The proposed algorithm implements three novel techniques to enhance the overall …

Multi-neighborhood simulated annealing-based iterated local search for colored traveling salesman problems

Y Zhou, W Xu, ZH Fu, MC Zhou - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
A coloring traveling salesman problem (CTSP) generalizes the well-known multiple traveling
salesman problem, where colors are used to differentiate salesmen's the accessibility to …

A powerful genetic algorithm using edge assembly crossover for the traveling salesman problem

Y Nagata, S Kobayashi - INFORMS Journal on Computing, 2013 - pubsonline.informs.org
This paper presents a genetic algorithm (GA) for solving the traveling salesman problem
(TSP). To construct a powerful GA, we use edge assembly crossover (EAX) and make …

Solving electric vehicle–drone routing problem using memetic algorithm

STW Mara, R Sarker, D Essam, S Elsayed - Swarm and Evolutionary …, 2023 - Elsevier
This paper considers a cooperative system between electric vehicles and drones in last-mile
logistics operations. This form of cooperation is presented as electric vehicle–drone routing …

Memory-efficient transformer-based network model for traveling salesman problem

H Yang, M Zhao, L Yuan, Y Yu, Z Li, M Gu - Neural Networks, 2023 - Elsevier
Combinatorial optimization problems such as Traveling Salesman Problem (TSP) have a
wide range of real-world applications in transportation, logistics, manufacturing. It has …