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We present a method to apply heuristic search algorithms to solve rearrangement planning by pushing problems. In these problems, a robot must push an object through clutter to achieve a goal. To do this, we exploit the fact that contact…

Robotics · Computer Science 2016-03-30 Jennifer E. King , Siddhartha S. Srinivasa

In this paper, we introduce the following problem in the theory of algorithmic self-assembly: given an input shape as the seed of a tile-based self-assembly system, design a finite tile set that can, in some sense, uniquely identify whether…

Computational Complexity · Computer Science 2010-06-16 Matthew J. Patitz , Scott M. Summers

Shape formation is a basic distributed problem for systems of computational mobile entities. Intensively studied for systems of autonomous mobile robots, it has recently been investigated in the realm of programmable matter. Namely, it has…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-09-12 Giuseppe A. Di Luna , Paola Flocchini , Nicola Santoro , Giovanni Viglietta , Yukiko Yamauchi

This paper develops model-based grasp planning algorithms for assembly tasks. It focuses on industrial end-effectors like grippers and suction cups, and plans grasp configurations considering CAD models of target objects. The developed…

Robotics · Computer Science 2019-03-06 Weiwei Wan , Kensuke Harada , Fumio Kanehiro

We discuss issues of problem formulation for algorithms in real algebraic geometry, focussing on quantifier elimination by cylindrical algebraic decomposition. We recall how the variable ordering used can have a profound effect on both…

Symbolic Computation · Computer Science 2014-06-26 Matthew England

We present an AND/OR graph-based, integrated multi-robot task and motion planning approach which (i) performs task allocation coordinating the activity of a given number of robots, and (ii) is capable of handling tasks which involve an a…

Robotics · Computer Science 2021-10-11 Hossein Karami , Antony Thomas , Fulvio Mastrogiovanni

Mobile autonomous robots have the potential to revolutionize manufacturing processes. However, employing large robot fleets in manufacturing requires addressing challenges including collision-free movement in a shared workspace, effective…

Robotics · Computer Science 2025-11-18 Kyle Brown , Dylan M. Asmar , Mac Schwager , Mykel J. Kochenderfer

Set partitions are arrangements of distinct objects into groups. The problem of listing all set partitions arises in a variety of settings, in particular in combinatorial optimization tasks. After a brief review, we give practical…

Data Structures and Algorithms · Computer Science 2026-02-03 Arnav Khinvasara , Alexander Pikovski

Programmable matter (PM) is a form of matter capable of dynamically altering its physical properties, such as shape or density, through programmable means. From a robotics perspective, PM can be realized as a distributed system consisting…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-10 Yonghwan Kim , Yoshiaki Katayama , Koichi Wada

Combining quantum computers with classical compute power has become a standard means for developing algorithms that are eventually supposed to beat any purely classical alternatives. While in-principle advantages for solution quality or…

Quantum Physics · Physics 2026-01-23 Simon Thelen , Wolfgang Mauerer

Pushing is a motion primitive useful to handle objects that are too large, too heavy, or too cluttered to be grasped. It is at the core of much of robotic manipulation, in particular when physical interaction is involved. It seems…

Robotics · Computer Science 2016-08-05 Kuan-Ting Yu , Maria Bauza , Nima Fazeli , Alberto Rodriguez

Object rearrangement is a fundamental problem in robotics with various practical applications ranging from managing warehouses to cleaning and organizing home kitchens. While existing research has primarily focused on single-agent…

Robotics · Computer Science 2023-11-07 Vivek Gupta , Praphpreet Dhir , Jeegn Dani , Ahmed H. Qureshi

Gate-defined quantum dots are a promising candidate system for realizing scalable, coupled qubit systems and serving as a fundamental building block for quantum computers. However, present-day quantum dot devices suffer from imperfections…

In this paper we introduce and study a new concept of parametrised topological complexity, a topological invariant motivated by the motion planning problem of robotics. In the parametrised setting, a motion planning algorithm has high…

Algebraic Topology · Mathematics 2021-09-10 Daniel C. Cohen , Michael Farber , Shmuel Weinberger

Automated service composition as the process of creating new software in an automated fashion has been studied in many different ways over the last decade. However, the impact of automated service composition has been rather small as its…

Software Engineering · Computer Science 2018-09-05 Felix Mohr , Marcel Wever , Eyke Hüllermeier

This is a chapter in the Encyclopedia of Robotics. It is devoted to the study of complexity of complete (or exact) algorithms for robot motion planning. The term ``complete'' indicates that an approach is guaranteed to find the correct…

Robotics · Computer Science 2020-03-31 Kiril Solovey

According to some algorithmicists, algorithmics traditionally uses algorithm theory, which stems from mathematics. The growing need for innovative algorithms has caused increasing gaps between theory and practice. Originally, this motivated…

Software Engineering · Computer Science 2020-12-04 Sabah Al-Fedaghi

For multiparametric mixed-integer convex programming problems such as those encountered in hybrid model predictive control, we propose an algorithm for generating a feasible partition of a subset of the parameter space. The result is a…

Optimization and Control · Mathematics 2019-03-01 Danylo Malyuta , Behcet Acikmese , Martin Cacan , David S. Bayard

We present a centralized algorithmic framework for solving multi-robot path planning problems in general, two-dimensional, continuous environments while minimizing globally the task completion time. The framework obtains high levels of…

Robotics · Computer Science 2015-07-14 Jingjin Yu , Daniela Rus

In order to solve complex, long-horizon tasks, intelligent robots need to carry out high-level, abstract planning and reasoning in conjunction with motion planning. However, abstract models are typically lossy and plans or policies computed…

Artificial Intelligence · Computer Science 2020-06-02 Naman Shah , Deepak Kala Vasudevan , Kislay Kumar , Pranav Kamojjhala , Siddharth Srivastava