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Autonomous navigation often requires the simultaneous optimization of multiple objectives. The most common approach scalarizes these into a single cost function using a weighted sum, but this method is unable to find all possible trade-offs…

Robotics · Computer Science 2026-04-07 Krishna Kalavadia , Shamak Dutta , Yash Vardhan Pant , Stephen L. Smith

A random search is a stochastic process representing the random motion of a particle (denoted as the searcher) that is terminated when it reaches (detects) a target particle or area the first time. In intermittent search the random motion…

Soft Condensed Matter · Physics 2016-11-23 Karsten Schwarz , Yannick Schröder , Heiko Rieger

A classical multi-agent fence patrolling problem asks: What is the maximum length $L$ of a line that $k$ agents with maximum speeds $v_1,\ldots,v_k$ can patrol if each point on the line needs to be visited at least once every unit of time.…

Data Structures and Algorithms · Computer Science 2019-06-14 Bernhard Haeupler , Fabian Kuhn , Anders Martinsson , Kalina Petrova , Pascal Pfister

The Multi-Agent Path Finding (MAPF) problem aims at finding non-conflicting paths for multiple agents from their respective sources to destinations. This problem arises in multiple real-life situations, including robot motion planning and…

Multiagent Systems · Computer Science 2026-01-16 Aditi Anand , Dildar Ali , Suman Banerjee

A new class of multi agent single machine scheduling problems is introduced, where each job is associated with a self interested agent with a utility function decreasing in completion time. We aim to achieve a fair solution by maximizing…

Computer Science and Game Theory · Computer Science 2026-04-01 Gaia Nicosia , Andrea Pacifici , Ulrich Pferschy

Multi-agent path finding (MAPF) determines an ensemble of collision-free paths for multiple agents between their respective start and goal locations. Among the available MAPF planners for workspace modeled as a graph, A*-based approaches…

Robotics · Computer Science 2022-02-16 Zhongqiang Ren , Sivakumar Rathinam , Howie Choset

What is the fastest way of finding a randomly hidden target? This question of general relevance is of vital importance for foraging animals. Experimental observations reveal that the search behaviour of foragers is generally intermittent:…

Statistical Mechanics · Physics 2009-11-11 O. Benichou , M. Coppey , M. Moreau , P-H. Suet , R. Voituriez

State-of-the-art multimodal journey-planning algorithms, such as ULTRA, have recently been adapted to account for delays. In this work, we extend this approach to be more memory-efficient, faster, and accurate. We also adapt this framework…

Data Structures and Algorithms · Computer Science 2026-05-18 Denys Katkalo , Andrii Rohovyi , Toby Walsh

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

The selection of smoothing parameter is central to the estimation of penalized splines. The best value of the smoothing parameter is often the one that optimizes a smoothness selection criterion, such as generalized cross-validation error…

Methodology · Statistics 2022-12-12 Zheyuan Li , Jiguo Cao

This paper is devoted to distributed continuous-time and discrete-time optimization problems with nonuniform convex constraint sets and nonuniform stepsizes for general differentiable convex objective functions. The communication graphs are…

Optimization and Control · Mathematics 2020-03-03 Peng Lin , Wei Ren , Chunhua Yang , Weihua Gui

We consider the problem of finding collision-free paths for curvature-constrained systems in the presence of obstacles while minimizing execution time. Specifically, we focus on the setting where a planar system can travel at some range of…

Robotics · Computer Science 2022-04-05 Doron Pinsky , Petr Váňa , Jan Faigl , Oren Salzman

In the context of search and rescue, we consider the problem of mission planning for heterogeneous teams that can include human, robotic, and animal agents. The problem is tackled using a mixed integer mathematical programming formulation…

Robotics · Computer Science 2013-12-18 Eduardo Feo Flushing , Luca M. Gambardella , Gianni A. Di Caro

This paper presents a new online multi-agent trajectory planning algorithm that guarantees to generate safe, dynamically feasible trajectories in a cluttered environment. The proposed algorithm utilizes a linear safe corridor (LSC) to…

Robotics · Computer Science 2022-01-04 Jungwon Park , Dabin Kim , Gyeong Chan Kim , Dahyun Oh , H. Jin Kim

Optimization problems in process engineering, including design and operation, can often pose challenges to many solvers: multi-modal, non-smooth, and discontinuous models often with large computational requirements. In such cases, the…

Optimization and Control · Mathematics 2025-01-17 Eric S. Fraga , Veerawat Udomvorakulchai , Miguel Pineda , Lazaros G. Papageorgiou

Multi-Agent Path Finding (MAPF) is a long-standing problem in Robotics and Artificial Intelligence in which one needs to find a set of collision-free paths for a group of mobile agents (robots) operating in the shared workspace. Due to its…

Robotics · Computer Science 2021-08-12 Zain Alabedeen Ali , Konstantin Yakovlev

In search problems, a mobile searcher seeks to locate a target that hides in some unknown position of the environment. Such problems are typically considered to be of an on-line nature, in that the input is unknown to the searcher, and the…

Data Structures and Algorithms · Computer Science 2018-10-19 Spyros Angelopoulos , Christoph Dürr , Shendan Jin

Multi-agent path planning is a challenging problem with numerous real-life applications. Running a centralized search such as A* in the combined state space of all units is complete and cost-optimal, but scales poorly, as the state space…

Artificial Intelligence · Computer Science 2014-01-17 Ko-Hsin Cindy Wang , Adi Botea

Consider the following generalization of the classic binary search problem: A searcher is required to find a hidden target vertex $x$ in a graph $G$. To do so, they iteratively perform queries to an oracle, each about a chosen vertex $v$.…

Data Structures and Algorithms · Computer Science 2026-03-17 Michał Szyfelbein

Suppose that in a given planar circular region, there are some smart mobile evaders and we would like to find them using sweeping agents. We assume that the sweeping agents are in a line formation whose total length is 2r. We propose…

Multiagent Systems · Computer Science 2023-06-22 Roee M. Francos , Alfred M. Bruckstein