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In this paper we propose some novel path planning strategies for a double integrator with bounded velocity and bounded control inputs. First, we study the following version of the Traveling Salesperson Problem (TSP): given a set of points…

Robotics · Computer Science 2007-05-23 Ketan Savla , Francesco Bullo , Emilio Frazzoli

Transient stability assessment of power systems needs to account for increased risk from uncertainties due to the integration of renewables and distributed generators. The uncertain operating condition of the power grid hinders reliable…

Dynamical Systems · Mathematics 2017-05-04 Dongchan Lee , Konstantin Turitsyn

Multivariate information decompositions hold promise to yield insight into complex systems, and stand out for their ability to identify synergistic phenomena. However, the adoption of these approaches has been hindered by there being…

Information Theory · Computer Science 2020-12-02 Fernando Rosas , Pedro Mediano , Borzoo Rassouli , Adam Barrett

Human decision-making often involves constrained optimization. As LLM agents are deployed to assist with real-world tasks like travel planning, shopping, and scheduling, they must mirror this capability. We introduce COMPASS, a benchmark…

We study GCS-TSP, a new variant of the Traveling Salesman Problem (TSP) defined over a Graph of Convex Sets (GCS) -- a powerful representation for trajectory planning that decomposes the configuration space into convex regions connected by…

Artificial Intelligence · Computer Science 2025-11-14 Jingtao Tang , Hang Ma

We investigate the distributed planning of robot trajectories for optimal execution of cooperative tasks with time windows. In this setting, each task has a value and is completed if sufficiently many robots are simultaneously present at…

Robotics · Computer Science 2019-08-16 Raghavendra Bhat , Yasin Yazicioglu , Derya Aksaray

Shared e-mobility services have been widely tested and piloted in cities across the globe, and already woven into the fabric of modern urban planning. This paper studies a practical yet important problem in those systems: how to deploy and…

Artificial Intelligence · Computer Science 2021-11-04 Man Luo , Bowen Du , Konstantin Klemmer , Hongming Zhu , Hongkai Wen

Large scale systems are forecasted to greatly impact our future lives thanks to their wide ranging applications including cooperative robotics, mobility on demand, resource allocation, supply chain management. While technological…

Optimization and Control · Mathematics 2024-12-20 Dario Paccagnan

The standard LP relaxation of the asymmetric traveling salesman problem has been conjectured to have a constant integrality gap in the metric case. We prove this conjecture when restricted to shortest path metrics of node-weighted digraphs.…

Data Structures and Algorithms · Computer Science 2015-08-14 Ola Svensson

In real-world optimisation, it is common to face several sub-problems interacting and forming the main problem. There is an inter-dependency between the sub-problems, making it impossible to solve such a problem by focusing on only one…

Neural and Evolutionary Computing · Computer Science 2023-01-05 Adel Nikfarjam , Aneta Neumann , Frank Neumann

Most existing studies on evolutionary multi-objective optimization focus on approximating the whole Pareto-optimal front. Nevertheless, rather than the whole front, which demands for too many points (especially in a high-dimensional space),…

Neural and Evolutionary Computing · Computer Science 2017-01-24 Ke Li , Kalyanmoy Deb , Xin Yao

In this paper, we develop a systematic framework for the time-sequential compression of dynamic probabilistic occupancy grids. Our approach leverages ideas from signal compression theory to formulate an optimization problem that searches…

Robotics · Computer Science 2025-04-16 Daniel T. Larsson , Dipankar Maity

We give a constant-factor approximation algorithm for the asymmetric traveling salesman problem (ATSP). Our approximation guarantee is analyzed with respect to the standard LP relaxation, and thus our result confirms the conjectured…

Data Structures and Algorithms · Computer Science 2020-09-17 Ola Svensson , Jakub Tarnawski , László A. Végh

We develop a system-theoretic framework for the structured analysis of distributed optimization algorithms with decomposable cost functions. We model such algorithms as a network of interacting dynamical systems and derive tests for…

Optimization and Control · Mathematics 2026-04-14 Aron Karakai , Jaap Eising , Andrea Martinelli , Florian Dörfler

We consider the problem of classifying a map using a team of communicating robots. It is assumed that all robots have localized visual sensing capabilities and can exchange their information with neighboring robots. Using a graph…

Robotics · Computer Science 2021-03-11 Guangyi Liu , Arash Amini , Martin Takáč , Héctor Muñoz-Avila , Nader Motee

Many real-world optimization problems have multiple interacting components. Each of these can be NP-hard and they can be in conflict with each other, i.e., the optimal solution for one component does not necessarily represent an optimal…

Neural and Evolutionary Computing · Computer Science 2021-09-13 Jonatas B. C. Chagas , Markus Wagner

Decomposition has become an increasingly popular technique for evolutionary multi-objective optimization (EMO). A decomposition-based EMO algorithm is usually designed to approximate a whole Pareto-optimal front (PF). However, in practice,…

Neural and Evolutionary Computing · Computer Science 2018-10-02 Ke Li , Renzhi Chen , Dragan Savic , Xin Yao

In this paper I investigate several offline and online data transfer scheduling problems and propose efficient algorithms and techniques for addressing them. In the offline case, I present a novel, heuristic, algorithm for scheduling files…

Data Structures and Algorithms · Computer Science 2012-12-21 Mugurel Ionut Andreica

This paper introduces the Packing While Traveling problem as a new non-linear knapsack problem. Given are a set of cities that have a set of items of distinct profits and weights and a vehicle that may collect the items when visiting all…

Data Structures and Algorithms · Computer Science 2017-03-22 Sergey Polyakovskiy , Frank Neumann

On-demand ride-sharing is rapidly growing.Matching trip requests to vehicles efficiently is critical for the service quality of ride-sharing. To match trip requests with vehicles, a prune-and-select scheme is commonly used. The pruning…

Databases · Computer Science 2019-10-22 Yixin Xu , Jianzhong Qi , Renata Borovica-Gajic , Lars Kulik