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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

Missions for autonomous systems often require agents to visit multiple targets in complex operating conditions. This work considers the problem of visiting a set of targets in minimum time by a team of non-communicating agents in a Markov…

Optimization and Control · Mathematics 2023-06-21 Farhad Nawaz , Melkior Ornik

We study a large-scale patrol problem with state-dependent costs and multi-agent coordination.We consider heterogeneous agents, rather general reward functions, and the capabilities of tracking agents' trajectories.Given the complexity and…

Optimization and Control · Mathematics 2024-12-12 Jing Fu , Zengfu Wang , Jie Chen

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

This paper considers the application of Model Predictive Control (MPC) to a weighted coverage path planning (WCPP) problem. The problem appears in a wide range of practical applications, including search and rescue (SAR) missions. The basic…

Systems and Control · Electrical Eng. & Systems 2025-10-02 Kilian Schweppe , Ludmila Moshagen , Georg Schildbach

Multi-agent routing problems have gained significant attention recently due to their wide range of industrial applications, ranging from logistics warehouse automation to indoor service robots. Conventionally, they are modeled as classical…

Multiagent Systems · Computer Science 2026-01-08 Fengming Zhu , Fangzhen Lin

The Traveling Salesman Problem is one of the most intensively studied combinatorial optimization problems due both to its range of real-world applications and its computational complexity. When combined with the Set Covering Problem, it…

Machine Learning · Computer Science 2020-07-08 Yuwen Yang , Jayant Rajgopal

In this work, we aim to explore connections between dynamical systems techniques and combinatorial optimization problems. In particular, we construct heuristic approaches for the traveling salesman problem (TSP) based on embedding the…

Discrete Mathematics · Computer Science 2019-08-14 Tuhin Sahai , Adrian Ziessler , Stefan Klus , Michael Dellnitz

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

Spatial crowdsourcing (SC) engages large worker pools for location-based tasks, attracting growing research interest. However, prior SC task allocation approaches exhibit limitations in computational efficiency, balanced matching, and…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-10-20 Kun Li , Shengling Wang , Hongwei Shi , Xiuzhen Cheng , Minghui Xu

We propose a simple and exact method for the Traveling Salesman Problem with Time Windows and Makespan objective (\TSPTW-M) that solves all instances of the classical benchmark with $50$ or more customers in less than ten seconds each.…

Data Structures and Algorithms · Computer Science 2026-03-11 Francisco J. Soulignac

The Job Shop Scheduling Problem (JSSP) is a well-known optimization problem in manufacturing, where the goal is to determine the optimal sequence of jobs across different machines to minimize a given objective. In this work, we focus on…

Artificial Intelligence · Computer Science 2025-01-31 Laurie Boveroux , Damien Ernst , Quentin Louveaux

The multiple Stack Travelling Salesman Problem, STSP, deals with the collect and the deliverance of n commodities in two distinct cities. The two cities are represented by means of two edge-valued graphs (G1,d2) and (G2,d2). During the…

Computational Complexity · Computer Science 2010-09-28 Sophie Toulouse , Roberto Wolfler Calvo

NP hard optimization problems like the Traveling Salesman Problem (TSP) defy efficient solutions in the worst case, yet real-world instances often exhibit exploitable patterns. We propose a novel patternaware complexity framework that…

Artificial Intelligence · Computer Science 2025-06-18 Olivier Saidi

Car-sharing issue is a popular research field in sharing economy. In this paper, we investigate the car-sharing relocation problem (CSRP) under uncertain demands. Normally, the real customer demands follow complicating probability…

Optimization and Control · Mathematics 2020-01-23 Xiaoming Li , Chun Wang , Xiao Huang

One of the major challenges in the coordination of large, open, collaborative, and commercial vehicle fleets is dynamic task allocation. Self-concerned individually rational vehicle drivers have both local and global objectives, which…

Multiagent Systems · Computer Science 2024-01-23 Marin Lujak , Stefano Giordani , Andrea Omicini , Sascha Ossowski

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

This paper describes TSP exact solution of polynomial complexity. It is considered properties of proposed method. Effectiveness of proposed solution is illustrated by outcomes of computer modeling.

Computational Complexity · Computer Science 2007-05-23 Vadim Yatsenko

Multi-agent pathfinding (MAPF) is concerned with planning collision-free paths for a team of agents from their start to goal locations in an environment cluttered with obstacles. Typical approaches for MAPF consider the locations of…

Artificial Intelligence · Computer Science 2022-03-22 David Vainshtein , Kiril Solovey , Oren Salzman

Tabular Prior-Data Fitted Network (TabPFN) is a foundation model designed for small to medium-sized tabular data, which has attracted much attention recently. This paper investigates the application of TabPFN in Combinatorial Optimization…

Machine Learning · Computer Science 2025-11-11 Nguyen Gia Hien Vu , Yifan Tang , Rey Lim , Yifan Yang , Hang Ma , Ke Wang , G. Gary Wang