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Generating diverse populations of high quality solutions has gained interest as a promising extension to the traditional optimization tasks. This work contributes to this line of research with an investigation on evolutionary diversity…

Neural and Evolutionary Computing · Computer Science 2022-11-01 Anh Viet Do , Mingyu Guo , Aneta Neumann , Frank Neumann

Ant Colony Optimisation (ACO) is a well known metaheuristic that has proven successful at solving Travelling Salesman Problems (TSP). However, ACO suffers from two issues; the first is that the technique has significant memory requirements…

Neural and Evolutionary Computing · Computer Science 2017-09-12 Darren M. Chitty

We present approximation algorithms for almost all variants of the multi-criteria traveling salesman problem (TSP). First, we devise randomized approximation algorithms for multi-criteria maximum traveling salesman problems (Max-TSP). For…

Data Structures and Algorithms · Computer Science 2011-07-14 Bodo Manthey

Recent works using deep learning to solve the Traveling Salesman Problem (TSP) have focused on learning construction heuristics. Such approaches find TSP solutions of good quality but require additional procedures such as beam search and…

Machine Learning · Computer Science 2020-09-15 Paulo R. de O. da Costa , Jason Rhuggenaath , Yingqian Zhang , Alp Akcay

Algorithm selection is a well-known problem where researchers investigate how to construct useful features representing the problem instances and then apply feature-based machine learning models to predict which algorithm works best with…

Machine Learning · Computer Science 2023-02-09 Ya Song , Laurens Bliek , Yingqian Zhang

Self Organizing Migrating Algorithm (SOMA) is a meta-heuristic algorithm based on the self-organizing behavior of individuals in a simulated social environment. SOMA performs iterative computations on a population of potential solutions in…

Neural and Evolutionary Computing · Computer Science 2017-09-13 Shubham Dokania , Sunyam Bagga , Rohit Sharma

In a distributed system, Task Assignment Problem (TAP) is a key factor for obtaining efficiency. TAP illustrates the appropriate allocation of tasks to the processor of each computer. In this problem, the proposed methods up to now try to…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-12-02 Mostafa Haghi Kashani

We propose UTSP, an unsupervised learning (UL) framework for solving the Travelling Salesman Problem (TSP). We train a Graph Neural Network (GNN) using a surrogate loss. The GNN outputs a heat map representing the probability for each edge…

Artificial Intelligence · Computer Science 2024-04-11 Yimeng Min , Yiwei Bai , Carla P. Gomes

Genetic algorithm (GA) is a stochastic metaheuristic process consisting on the evolution of a population of candidate solutions for a given optimization problem. By extension, multipopulation genetic algorithm (MPGA) aims for efficiency by…

Neural and Evolutionary Computing · Computer Science 2018-06-07 Bruno Messias , Bruno W. D. Morais

In this work, a novel idea is presented for combinatorial optimization problems, a hybrid network, which results in a superior outcome. We applied this method to graph pointer networks [1], expanding its capabilities to a higher level. We…

Combinatorial optimization is the field devoted to the study and practice of algorithms that solve NP-hard problems. As Machine Learning (ML) and deep learning have popularized, several research groups have started to use ML to solve…

Artificial Intelligence · Computer Science 2019-10-01 Antoine François , Quentin Cappart , Louis-Martin Rousseau

This paper proposes a dual divide-and-optimize algorithm (DualOpt) for solving the large-scale traveling salesman problem (TSP). DualOpt combines two complementary strategies to improve both solution quality and computational efficiency.…

Artificial Intelligence · Computer Science 2025-01-16 Shipei Zhou , Yuandong Ding , Chi Zhang , Zhiguang Cao , Yan Jin

This work presents a tensor-network formulation of the Traveling Salesman Problem (TSP) and several of its variants. The approach represents candidate tours with tensor-network layers, weights them by Boltzmann factors, and enforces…

Quantum Physics · Physics 2026-05-18 Alejandro Mata Ali , Iñigo Perez Delgado , Aitor Moreno Fdez. de Leceta

This paper proposes Genetic Algorithm with Border Trades (GAB), a novel modification of the standard genetic algorithm that enhances exploration by incorporating new chromosome patterns in the breeding process. This approach significantly…

Machine Learning · Computer Science 2025-06-27 Qingchuan Lyu

Testing provides means pertaining to assuring software performance. The total aim of software industry is actually to make a certain start associated with high quality software for the end user. However, associated with software testing has…

Software Engineering · Computer Science 2016-12-30 Ahmed Mateen , Marriam Nazir , Salman Afsar Awan

An important variant of the classic Traveling Salesman Problem (TSP) is the Dynamic TSP, in which a system with dynamic constraints is tasked with visiting a set of n target locations (in any order) in the shortest amount of time. Such…

Robotics · Computer Science 2023-02-02 Aviv Adler , Oren Gal , Sertac Karaman

We study GCS-TSP, a new variant of the Traveling Salesman Problem (TSP) defined over a Graph of Convex Sets (GCS) -- a powerful representation for trajectory planning that decomposes the configuration space into convex regions connected by…

Artificial Intelligence · Computer Science 2025-11-14 Jingtao Tang , Hang Ma

Combinatorial optimization problems are typically NP-hard, and thus very challenging to solve. In this paper, we present the random key cuckoo search (RKCS) algorithm for solving the famous Travelling Salesman Problem (TSP). We used a…

Neural and Evolutionary Computing · Computer Science 2016-07-18 Aziz Ouaarab , B. Ahiod , Xin-She Yang

Genetic Algorithms (GAs) are known for their efficiency in solving combinatorial optimization problems, thanks to their ability to explore diverse solution spaces, handle various representations, exploit parallelism, preserve good…

Neural and Evolutionary Computing · Computer Science 2023-09-29 Majid Sohrabi , Amir M. Fathollahi-Fard , Vasilii A. Gromov

The Generalised Travelling Salesman Problem (GTSP) is a well-known problem that, among other applications, arises in warehouse order picking, where each stock is distributed between several locations -- a typical approach in large modern…

Artificial Intelligence · Computer Science 2019-08-12 Olegs Nalivajevs , Daniel Karapetyan