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Optimal path planning is prone to convergence to local, rather than global, optima. This is often the case for mobile manipulators due to nonconvexities induced by obstacles, robot kinematics and constraints. This paper focuses on planning…

Robotics · Computer Science 2025-10-09 Rufus Cheuk Yin Wong , Mayank Sewlia , Adrian Wiltz , Dimos V. Dimarogonas

Topology optimization is concerned with the identification of optimal shapes of deformable bodies with respect to given target functionals. The focus of this paper is on a topology optimization problem for a time-evolving elastoplastic…

Analysis of PDEs · Mathematics 2021-06-21 Stefano Almi , Ulisse Stefanelli

A multi-modal multi-objective optimization problem is a special kind of multi-objective optimization problem with multiple Pareto subsets. In this paper, we propose an efficient multi-modal multi-objective optimization algorithm based on…

Neural and Evolutionary Computing · Computer Science 2020-04-22 Yiming Peng , Hisao Ishibuchi

The performance of optimization-based robot motion planning algorithms is highly dependent on the initial solutions, commonly obtained by running a sampling-based planner to obtain a collision-free path. However, these methods can be slow…

Robotics · Computer Science 2025-08-15 J. Carvalho , A. Le , P. Kicki , D. Koert , J. Peters

For multi-vehicle complex traffic scenarios in shared spaces such as intelligent intersections, safe coordination and trajectory planning is challenging due to computational complexity. To meet this challenge, we introduce a computationally…

Systems and Control · Electrical Eng. & Systems 2025-12-15 Amirreza Akbari , Johan Thunberg

We consider the problem of optimal path planning in different homotopy classes in a given environment. Though important in robotics applications, path-planning with reasoning about homotopy classes of trajectories has typically focused on…

Robotics · Computer Science 2017-10-10 Subhrajit Bhattacharya , Robert Ghrist

We consider the problem of planning a collision-free path of a robot in the presence of risk zones. The robot is allowed to travel in these zones but is penalized in a super-linear fashion for consecutive accumulative time spent there. We…

Computational Geometry · Computer Science 2017-03-10 Oren Salzman , Siddhartha Srinivasa

This paper proposes novel algorithm for non-convex multimodal constrained optimisation problems. It is based on sequential solving restrictions of problem to sections of feasible set by random subspaces (in general, manifolds) of low…

Optimization and Control · Mathematics 2023-03-28 Dmitry A. Pasechnyuk , Alexander Gornov

In this paper, we demonstrate a formulation for optimizing coupled submodular maximization problems with provable sub-optimality bounds. In robotics applications, it is quite common that optimization problems are coupled with one another…

Robotics · Computer Science 2021-11-19 Jun Liu , Ryan K. Williams

Multimodal multi-objective problems (MMOPs) commonly arise in real-world problems where distant solutions in decision space correspond to very similar objective values. To obtain all solutions for MMOPs, many multimodal multi-objective…

Neural and Evolutionary Computing · Computer Science 2023-01-31 Wenhua Li , Tao Zhang , Rui Wang , Jing Liang

In this paper we address several constrained transportation optimization problems (e.g. vehicle routing, shortest Hamiltonian path), for which we present novel algorithmic solutions and extensions, considering several optimization…

Data Structures and Algorithms · Computer Science 2009-03-24 Mugurel Ionut Andreica , Sorin Briciu , Madalina Ecaterina Andreica

Consider a general path planning problem of a robot on a graph with edge costs, and where each node has a Boolean value of success or failure (with respect to some task) with a given probability. The objective is to plan a path for the…

Robotics · Computer Science 2018-08-22 Arjun Muralidharan , Yasamin Mostofi

We design a motion planning algorithm to coordinate the movements of two robots along a figure eight track, in such a way that no collisions occur. We use a topological approach to robot motion planning that relates instabilities in motion…

Robotics · Computer Science 2024-03-19 Cristian Jardon , Brian Sheppard , Veet Zaveri

Efficient planning in dynamic and uncertain environments is a fundamental challenge in robotics. In the context of trajectory optimization, the feasibility of paths can change as the environment evolves. Therefore, it can be beneficial to…

Robotics · Computer Science 2019-08-05 Keshav Kolur , Sahit Chintalapudi , Byron Boots , Mustafa Mukadam

We consider the informative path planning ($\mathtt{IPP}$) problem in which a robot interacts with an uncertain environment and gathers information by visiting locations. The goal is to minimize its expected travel cost to cover a given…

Data Structures and Algorithms · Computer Science 2023-11-22 Rayen Tan , Rohan Ghuge , Viswanath Nagarajan

Navigating a collision-free and optimal trajectory for a robot is a challenging task, particularly in environments with moving obstacles such as humans. We formulate this problem as a stochastic optimal control problem. Since solving the…

Systems and Control · Electrical Eng. & Systems 2026-03-17 Seyyed Reza Jafari , Anders Hansson , Bo Wahlberg

Predicting the motion of other road agents enables autonomous vehicles to perform safe and efficient path planning. This task is very complex, as the behaviour of road agents depends on many factors and the number of possible future…

In this paper a search algorithm is proposed to find a sub optimal path for a non-holonomic system. For this purpose the algorithm starts sampling the front part of the vehicle and moves towards the destination with a cost function. The…

Robotics · Computer Science 2016-12-21 Mahdi Morsali , Fatemeh Mohseni

This paper presents a solution for the problem of optimal planning for a robot in a collaborative human-robot team, where the human supervisor is intermittently available to assist the robot in completing tasks more quickly. Specifically,…

Robotics · Computer Science 2023-07-11 Abhinav Dahiya , Stephen L. Smith

Sampling-based methods are widely adopted solutions for robot motion planning. The methods are straightforward to implement, effective in practice for many robotic systems. It is often possible to prove that they have desirable properties,…

Robotics · Computer Science 2022-11-16 Troy McMahon , Aravind Sivaramakrishnan , Edgar Granados , Kostas E. Bekris
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