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The Travelling Salesman Problem (TSP) is one of the most famous optimization problems. The Genetic Algorithm (GA) is one of metaheuristics that have been applied to TSP. The Crossover and mutation operators are two important elements of GA.…

Neural and Evolutionary Computing · Computer Science 2015-04-13 Hassan Ismkhan , Kamran Zamanifar

Variable selection problems generally present more than a single solution and, sometimes, it is worth to find as many solutions as possible. The use of Evolutionary Algorithms applied to this kind of problem proves to be one of the best…

Neural and Evolutionary Computing · Computer Science 2020-02-17 Jorge Bustos , Victor A. Jimenez , Adrian Will

In this paper we consider multi-objective optimization problems over a box. The problem is very relevant and several computational approaches have been proposed in the literature. They broadly fall into two main classes: evolutionary…

Optimization and Control · Mathematics 2022-12-08 Matteo Lapucci , Pierluigi Mansueto , Fabio Schoen

Recently different evolutionary computation approaches have been developed that generate sets of high quality diverse solutions for a given optimisation problem. Many studies have considered diversity 1) as a mean to explore niches in…

Neural and Evolutionary Computing · Computer Science 2022-07-29 Adel Nikfarjam , Aneta Neumann , Jakob Bossek , Frank Neumann

This research proposes a novel indicator-based hybrid evolutionary approach that combines approximate and exact algorithms. We apply it to a new bi-criteria formulation of the travelling thief problem, which is known to the Evolutionary…

Artificial Intelligence · Computer Science 2018-02-08 Junhua Wu , Sergey Polyakovskiy , Markus Wagner , Frank Neumann

We introduce a model for the global optimization problem of nectar harvesting by flower visitors, e.g., nectar-feeding bats, as a generalization of the (multiple) traveling-salesperson problem (TSP). The model includes multiple independent…

Biological Physics · Physics 2018-03-22 M. Jungsbluth , J. Thiele , Y. Winter , H. Schawe , A. K. Hartmann

The Travelling Thief Problem (TTP) is a challenging combinatorial optimization problem that attracts many scholars. The TTP interconnects two well-known NP-hard problems: the Travelling Salesman Problem (TSP) and the 0-1 Knapsack Problem…

Artificial Intelligence · Computer Science 2020-12-17 Lei Yang , Zitong Zhang , Xiaotian Jia , Peipei Kang , Wensheng Zhang , Dongya Wang

The multi-path Traveling Salesman Problem with stochastic travel costs arises in hybrid vehicle routing applications designed for Smart City and City Logistics, where multiple paths exist between each pair of locations. Travel times along…

Optimization and Control · Mathematics 2026-05-15 Xiaochen Chou , Ludovica Di Marco , Enza Messina

Diversity maximization problem is a well-studied problem where the goal is to find $k$ diverse items. Fair diversity maximization aims to select a diverse subset of $k$ items from a large dataset, while requiring that each group of items be…

Data Structures and Algorithms · Computer Science 2025-06-11 Florian Adriaens , Nikolaj Tatti

Generalized traveling salesman problem (GTSP) is an extension of classical traveling salesman problem (TSP), which is a combinatorial optimization problem and an NP-hard problem. In this paper, an efficient discrete state transition…

Optimization and Control · Mathematics 2015-09-22 Xiaolin Tang , Chunhua Yang , Xiaojun Zhou , Weihua Gui

Routing problems are optimization problems that consider a set of goals in a graph to be visited by a vehicle (or a fleet of them) in an optimal way, while numerous constraints have to be satisfied. We present a solution based on…

Robotics · Computer Science 2017-08-01 Miroslav Kulich , Roman Sushkov , Libor Přeučil

The traveling salesman problem (TSP) is a fundamental NP-hard optimization problem. Over the past decades, traditional heuristic methods have achieved substantial success in solving TSP, yet their performance, particularly for large-scale…

Neural and Evolutionary Computing · Computer Science 2025-08-26 Haoze Lv , Wenjie Chen , Zhiyuan Wang , Shengcai Liu

The Dubins Traveling Salesman Problem (DTSP) has generated significant interest over the last decade due to its occurrence in several civil and military surveillance applications. Currently, there is no algorithm that can find an optimal…

Optimization and Control · Mathematics 2018-03-07 Satyanarayana Manyam , Sivakumar Rathinam

Traveling salesman problem (TSP) is a well-known in computing field. There are many researches to improve the genetic algorithm for solving TSP. In this paper, we propose two new crossover operators and new mechanism of combination…

Neural and Evolutionary Computing · Computer Science 2020-02-03 Pham Dinh Thanh , Huynh Thi Thanh Binh , Bui Thu Lam

In this case study, the renowned Travelling Salesmen problem has been studied. Travelling Salesman problem is a most demanding computational problem in Computer Science. The Travelling Salesmen problem has been solved by two different ways…

Artificial Intelligence · Computer Science 2022-03-01 Gyanateet Dutta

Many real optimisation problems lead to multimodal domains and so require the identification of multiple optima. Niching methods have been developed to maintain the population diversity, to investigate many peaks in parallel and to reduce…

Neural and Evolutionary Computing · Computer Science 2018-05-04 Edgar Covantes Osuna , Dirk Sudholt

The Generalized Traveling Salesman Problem (GTSP) is an extension of the well-known Traveling Salesman Problem (TSP), where the node set is partitioned into clusters, and the objective is to find the shortest cycle visiting each cluster…

Artificial Intelligence · Computer Science 2012-07-06 Mohammad Reihaneh , Daniel Karapetyan

Discrete version of state transition algorithm is proposed in order to solve the traveling salesman problem. Three special operators for discrete optimization problem named swap, shift and symmetry transformations are presented. Convergence…

Optimization and Control · Mathematics 2013-02-12 Yang Chunhua , Tang Xiaolin , Zhou Xiaojun , Gui Weihua

This study presents Neural Focused Ant Colony Optimization (NeuFACO), a non-autoregressive framework for the Traveling Salesman Problem (TSP) that combines advanced reinforcement learning with enhanced Ant Colony Optimization (ACO). NeuFACO…

Neural and Evolutionary Computing · Computer Science 2025-09-24 Dat Thanh Tran , Khai Quang Tran , Khoi Anh Pham , Van Khu Vu , Dong Duc Do

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