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We present a scalable, high-performance algorithm that deterministically solves large-scale instances of the Traveling Salesman problem (in its asymmetric version, ATSP) to optimality using commercially available computing hardware. By…

Data Structures and Algorithms · Computer Science 2025-09-19 Wissam Nakhle

Bi-level optimisation problems have gained increasing interest in the field of combinatorial optimisation in recent years. With this paper, we start the runtime analysis of evolutionary algorithms for bi-level optimisation problems. We…

Neural and Evolutionary Computing · Computer Science 2014-01-10 Dogan Corus , Per Kristian Lehre , Frank Neumann , Mojgan Pourhassan

This paper addresses the path selection problem from a known sender to the receiver. The proposed work shows path selection using genetic algorithm(GA)and simulated annealing (SA) approaches. In genetic algorithm approach, the multi point…

Neural and Evolutionary Computing · Computer Science 2016-09-08 T. R. Gopalakrishnan Nair , Kavitha Sooda

The use of balanced crossover operators in Genetic Algorithms (GA) ensures that the binary strings generated as offsprings have the same Hamming weight of the parents, a constraint which is sought in certain discrete optimization problems.…

Neural and Evolutionary Computing · Computer Science 2020-04-24 Luca Manzoni , Luca Mariot , Eva Tuba

The hypothetical global delivery schedule of Santa Claus must follow strict rolling night-time windows that vary with the Earth's rotation and obey an energy budget that depends on payload size and cruising speed. To design this schedule,…

Applications · Statistics 2025-12-23 Elliot Fisher , Robin Smith

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

Beam-ACO, a modification of the traditional Ant Colony Optimization (ACO) algorithms that incorporates a modified beam search, is one of the most effective ACO algorithms for solving the Traveling Salesman Problem (TSP). Although adding…

Neural and Evolutionary Computing · Computer Science 2020-04-24 Jeff Hajewski , Suely Oliveira , David E. Stewart , Laura Weiler

The generalized traveling salesman problem (GTSP) is an extension of the well-known traveling salesman problem. In GTSP, we are given a partition of cities into groups and we are required to find a minimum length tour that includes exactly…

Data Structures and Algorithms · Computer Science 2010-03-30 Gregory Gutin , Daniel Karapetyan

In this study, we first introduce a new application of the asymmetric traveling salesman problem (ATSP) which is about a small restaurant with one cook and a single stove. Once a meal has started cooking on the stove, the cook prepares the…

Optimization and Control · Mathematics 2023-01-18 Tibet Duman , Ekrem Duman

Over the past few years, unmanned aerial vehicles (UAV), also known as drones, have been adopted as part of a new logistic method in the commercial sector called "last-mile delivery". In this novel approach, they are deployed alongside…

Artificial Intelligence · Computer Science 2018-01-03 Quang Minh Ha , Yves Deville , Quang Dung Pham , Minh Hoàng Hà

We present a trajectory optimization algorithm for the traveling salesman problem (TSP) in graphs of convex sets (GCS). Our framework uses an augmented graph of convex sets to encode the TSP specification and solve it exactly as a shortest…

Systems and Control · Electrical Eng. & Systems 2026-04-09 Gael Luna , Tyler Summers

Combinatorial optimization problems are foundational challenges in fields such as artificial intelligence, logistics, and network design. Traditional algorithms, including greedy methods and dynamic programming, often struggle to balance…

Quantum ant colony optimization (QACO) has drew much attention since it combines the advantages of quantum computing and ant colony optimization (ACO) algorithms and overcomes some limitations of the traditional ACO algorithm. However, due…

Quantum Physics · Physics 2024-03-04 Qian Qiu , Mohan Wu , Qichun Sun , Xiaogang Li , Hua Xu

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

Inferring gene interaction network from gene expression data is an important task in systems biology research. The gene interaction network, especially key interactions, plays an important role in identifying biomarkers for disease that…

Neural and Evolutionary Computing · Computer Science 2015-07-01 Khalid Raza , Mahish Kohli

Ant Colony Optimization (ACO) is a family of nature-inspired metaheuristics often applied to finding approximate solutions to difficult optimization problems. Despite being significantly faster than exact methods, the ACOs can still be…

Neural and Evolutionary Computing · Computer Science 2022-03-07 Rafał Skinderowicz

Predicting the cheapest sample size for the optimal stratification in multivariate survey design is a problem in cases where the population frame is large. A solution exists that iteratively searches for the minimum sample size necessary to…

Methodology · Statistics 2018-06-18 Mervyn O'Luing , Steven Prestwich , S. Armagan Tarim

This study addresses the Min-Max Multiple Traveling Salesmen Problem ($m^3$-TSP), which aims to coordinate tours for multiple salesmen such that the length of the longest tour is minimized. Due to its NP-hard nature, exact solvers become…

Artificial Intelligence · Computer Science 2025-08-26 Wen Wang , Xiangchen Wu , Liang Wang , Hao Hu , Xianping Tao , Linghao Zhang

We describe a hybrid procedure for solving the traveling salesman problem (TSP) to provable optimality. We first sparsify the instance, and then use a hybrid algorithm that combines a branch-and-cut TSP solver with a Hamiltonian cycle…

Data Structures and Algorithms · Computer Science 2017-05-22 Vladimir Ejov , Michael Haythorpe , Serguei Rossomakhine

There is great potential if we understand how nature functions, particularly the animals taking down from the ant to the larger animals. In this paper we will make an attempt to learn about ants colonization processing by studying their…

Systems and Control · Electrical Eng. & Systems 2023-05-09 Sunit Shantanu Digamber Fulari
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