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Numerical optimization techniques are widely used in a broad area of science and technology, from finding the minimal energy of systems in Physics or Chemistry to finding optimal routes in logistics or optimal strategies for high speed…

Neural and Evolutionary Computing · Computer Science 2025-08-20 Yury Chernyak , Ijaz Ahamed Mohammad , Nikolas Masnicak , Matej Pivoluska , Martin Plesch

Particle swarm optimization (PSO) is an iterative search method that moves a set of candidate solution around a search-space towards the best known global and local solutions with randomized step lengths. PSO frequently accelerates…

Neural and Evolutionary Computing · Computer Science 2021-02-25 Johannes Jakubik , Adrian Binding , Stefan Feuerriegel

Service systems are labor intensive due to the large variation in the tasks required to address service requests from multiple customers. Aligning the staffing levels to the forecasted workloads adaptively in such systems is nontrivial…

Systems and Control · Computer Science 2013-12-31 L. A. Prashanth , H. L. Prasad , Nirmit Desai , Shalabh Bhatnagar , Gargi Dasgupta

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

We investigate the Optimal Obstacle Placement (OOP) problem under uncertainty, framed as the dual of the Optimal Traversal Path problem in the Stochastic Obstacle Scene paradigm. We consider both continuous domains, discretized for…

Applications · Statistics 2025-09-09 Li Zhou , Elvan Ceyhan , Polat Charyyev

Optimal transport (OT) is a framework that can guide the design of efficient resource allocation strategies in a network of multiple sources and targets. This paper applies discrete OT to a swarm of UAVs in a novel way to achieve…

Multiagent Systems · Computer Science 2022-12-01 Jason Hughes , Dominic Larkin , Charles O'Donnell , Christopher Korpela

We present novel path-slicing strategies integrated with quantum local search to optimize solutions for the Traveling Salesman Problem (TSP), addressing the limitations of current Noisy Intermediate-Scale Quantum (NISQ) technologies. Our…

Quantum Physics · Physics 2024-07-19 Chen-Yu Liu , Hiromichi Matsuyama , Wei-hao Huang , Yu Yamashiro

The number of multi-robot systems deployed in field applications has increased dramatically over the years. Despite the recent advancement of navigation algorithms, autonomous robots often encounter challenging situations where the control…

Robotics · Computer Science 2022-05-05 Tianchen Ji , Roy Dong , Katherine Driggs-Campbell

We present an algorithm for the asymmetric traveling salesman problem on instances which satisfy the triangle inequality. Like several existing algorithms, it achieves approximation ratio O(log n). Unlike previous algorithms, it uses…

Data Structures and Algorithms · Computer Science 2009-09-07 Michel X. Goemans , Nicholas J. A. Harvey , Kamal Jain , Mohit Singh

Premature convergence in particle swarm optimization (PSO) algorithm usually leads to gaining local optimum and preventing from surveying those regions of solution space which have optimal points in. In this paper, by applying special…

Neural and Evolutionary Computing · Computer Science 2018-07-03 Anvar Bahrampour , Omid Mohamad Nezami

This paper presents an iterative data-driven algorithm for solving dynamic multi-objective (MO) optimal control problems arising in control of nonlinear continuous-time systems. It is first shown that the Hamiltonian functional…

Systems and Control · Electrical Eng. & Systems 2021-01-26 Majid Mazouchi , Yongliang Yang , Hamidreza Modares

Bat algorithm is a population metaheuristic proposed in 2010 which is based on the echolocation or bio-sonar characteristics of microbats. Since its first implementation, the bat algorithm has been used in a wide range of fields. In this…

Neural and Evolutionary Computing · Computer Science 2016-04-15 Eneko Osaba , Xin-She Yang , Fernando Diaz , Pedro Lopez-Garcia , Roberto Carballedo

Navigation has been classically solved in robotics through the combination of SLAM and planning. More recently, beyond waypoint planning, problems involving significant components of (visual) high-level reasoning have been explored in…

Robotics · Computer Science 2024-01-26 Assem Sadek , Guillaume Bono , Boris Chidlovskii , Atilla Baskurt , Christian Wolf

Current methods for end-to-end constructive neural combinatorial optimization usually train a policy using behavior cloning from expert solutions or policy gradient methods from reinforcement learning. While behavior cloning is…

Machine Learning · Computer Science 2024-11-05 Jonathan Pirnay , Dominik G. Grimm

We propose a new polynomial-time deterministic algorithm that produces an approximated solution for the traveling salesperson problem. The proposed algorithm ranks cities based on their priorities calculated using a power function of means…

Data Structures and Algorithms · Computer Science 2018-11-19 Ali Jazayeri , Hiroki Sayama

Optimized Schwarz Methods (OSMs) are based on optimized transmission conditions along the interfaces between the subdomains. Optimized transmission conditions are derived at the theoretical level, using techniques developed in the last…

Numerical Analysis · Mathematics 2021-08-20 Martin J. Gander , Roland Masson , Tommaso Vanzan

While there are optimal TSP solvers, as well as recent learning-based approaches, the generalization of the TSP to the Multiple Traveling Salesmen Problem is much less studied. Here, we design a neural network solution that treats the…

Machine Learning · Computer Science 2019-02-18 Yoav Kaempfer , Lior Wolf

We propose a general-purpose method for finding high-quality solutions to hard optimization problems, inspired by self-organizing processes often found in nature. The method, called Extremal Optimization, successively eliminates extremely…

Statistical Mechanics · Physics 2018-07-06 S. Boettcher , A. Percus

A large number of optimization algorithms have been developed by researchers to solve a variety of complex problems in operations management area. We present a novel optimization algorithm belonging to the class of swarm intelligence…

Adaptation and Self-Organizing Systems · Physics 2016-08-05 Ilario De Vincenzo , Ilaria Giannoccaro , Giuseppe Carbone

In this paper we simulate an ensemble of cooperating, mobile sensing agents that implement the cyclic stochastic optimization (CSO) algorithm in an attempt to survey and track multiple targets. In the CSO algorithm proposed, each agent uses…

Machine Learning · Statistics 2021-08-04 Carsten H. Botts