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We study the online Traveling Salesman Problem (TSP) on the line augmented with machine-learned predictions. In the classical problem, there is a stream of requests released over time along the real line. The goal is to minimize the…

Data Structures and Algorithms · Computer Science 2022-06-02 Themis Gouleakis , Konstantinos Lakis , Golnoosh Shahkarami

Genetic algorithms are stochastic iterative algorithms in which a population of individuals evolve by emulating the process of biological evolution and natural selection. The R package GA provides a collection of general purpose functions…

Computation · Statistics 2018-07-19 Luca Scrucca

Traveling salesman problems (TSP) are one of the well-known combinatorial optimization problems that many groups tackle to solve. This problem appears in many types of combinational optimization, such as scheduling, route optimization, and…

Quantum Physics · Physics 2025-09-30 Hikaru Wakaura

Evolutionary computing, particularly genetic algorithm (GA), is a combinatorial optimization method inspired by natural selection and the transmission of genetic information, which is widely used to identify optimal solutions to complex…

Neural and Evolutionary Computing · Computer Science 2024-12-31 Shanqing Yu , Meng Zhou , Jintao Zhou , Minghao Zhao , Yidan Song , Yao Lu , Zeyu Wang , Qi Xuan

GA LLM is a hybrid framework that combines Genetic Algorithms with Large Language Models to handle structured generation tasks under strict constraints. Each output, such as a plan or report, is treated as a gene, and evolutionary…

Computation and Language · Computer Science 2025-06-17 William Shum , Rachel Chan , Jonas Lin , Benny Feng , Patrick Lau

Evolutionary algorithms based on edge assembly crossover (EAX) constitute some of the best performing incomplete solvers for the well-known traveling salesperson problem (TSP). Often, it is desirable to compute not just a single solution…

Neural and Evolutionary Computing · Computer Science 2021-08-13 Adel Nikfarjam , Jakob Bossek , Aneta Neumann , Frank Neumann

Traveling Salesman Problem (TSP) is a classic NP-hard problem that has garnered significant attention from both academia and industry. While neural-based methods have shown promise for solving TSPs, they still face challenges in scaling to…

Machine Learning · Computer Science 2026-04-16 Tongkai Lu , Shuai Ma , Chongyang Tao

The Travelling Salesman Problem (TSP) is a classical combinatorial optimisation problem. Deep learning has been successfully extended to meta-learning, where previous solving efforts assist in learning how to optimise future optimisation…

Machine Learning · Computer Science 2020-11-04 Nasrin Sultana , Jeffrey Chan , A. K. Qin , Tabinda Sarwar

Mutation is one of the most important stages of the genetic algorithm because of its impact on the exploration of global optima, and to overcome premature convergence. There are many types of mutation, and the problem lies in selection of…

Column generation (CG) is a vital method to solve large-scale problems by dynamically generating variables. It has extensive applications in common combinatorial optimization, such as vehicle routing and scheduling problems, where each…

Machine Learning · Computer Science 2023-10-17 Kuan Xu , Li Shen , Lindong Liu

We address the Diverse Traveling Salesman Problem (D-TSP), a bi-criteria optimization challenge that seeks a set of $k$ distinct TSP tours. The objective requires every selected tour to have a length at most $c|T^*|$ (where $|T^*|$ is the…

Computational Geometry · Computer Science 2026-01-12 Hao-Tsung Yang , Ssu-Yuan Lo , Kuan-Lun Chen , Ching-Kai Wang

This article presents a new algorithm which is a modified version of the elite ant system (EAS) algorithm. The new version utilizes an effective criterion for escaping from the local optimum points. In contrast to the classical EAC…

Artificial Intelligence · Computer Science 2012-02-08 Majid Yousefikhoshbakht , Farzad Didehvar , Farhad Rahmati

Optimal subset selection is an important task that has numerous algorithms designed for it and has many application areas. STPGA contains a special genetic algorithm supplemented with a tabu memory property (that keeps track of previously…

Methodology · Statistics 2017-02-28 Deniz Akdemir

This paper presents a genetic-based hybrid algorithm that combines the exploration power of Genetic Algorithm (GA) with the exploitation capacity of a phenotypical probabilistic local search algorithm. Though not limited to a certain class…

Optimization and Control · Mathematics 2016-11-26 Reza Najian Asl , Mohamad Aslani , Masoud Shariat Panahi

In probabilistic structural mechanics, the Hasofer-Lind reliability index problem is a paradigmatic equality constrained problem of searching for the minimum distance from a point to a surface. In practical engineering problems, such…

Neural and Evolutionary Computing · Computer Science 2023-05-17 Gonçalo das Neves Carneiro , Carlos Conceição António

We present a novel Auxiliary Truth enhanced Genetic Algorithm (GA) that uses logical or mathematical constraints as a means of data augmentation as well as to compute loss (in conjunction with the traditional MSE), with the aim of…

Neural and Evolutionary Computing · Computer Science 2020-10-23 Dhananjay Ashok , Joseph Scott , Sebastian Wetzel , Maysum Panju , Vijay Ganesh

Multiple-TSP, also abbreviated in the literature as mTSP, is an extension of the Traveling Salesman Problem that lies at the core of many variants of the Vehicle Routing problem of great practical importance. The current paper develops and…

Neural and Evolutionary Computing · Computer Science 2019-07-30 Vlad-Ioan Lupoaie , Ivona-Alexandra Chili , Mihaela Elena Breaban , Madalina Raschip

As an extension of the traveling repairman problem with profits, the multiple traveling repairman problem with profits consists of multiple repairmen who visit a subset of all customers to maximize the revenues collected through the visited…

Neural and Evolutionary Computing · Computer Science 2021-11-10 Jintong Ren , Jin-Kao Hao , Feng Wu , Zhang-Hua Fu

The application of genetic algorithms (GAs) to many optimization problems in organizations often results in good performance and high quality solutions. For successful and efficient use of GAs, it is not enough to simply apply simple GAs…

Neural and Evolutionary Computing · Computer Science 2008-12-18 Maroun Bercachi , Philippe Collard , Manuel Clergue , Sébastien Verel

The Traveling Salesman Problem (TSP) is a well-known combinatorial optimization problem with broad real-world applications. Recent advancements in neural network-based TSP solvers have shown promising results. Nonetheless, these models…

Artificial Intelligence · Computer Science 2025-06-10 Yubin Xiao , Di Wang , Rui Cao , Xuan Wu , Boyang Li , You Zhou