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We study an extensive class of movement minimization problems which arise from many practical scenarios but so far have little theoretical study. In general, these problems involve planning the coordinated motion of a collection of agents…

数据结构与算法 · 计算机科学 2015-03-20 Erik D. Demaine , MohammadTaghi Hajiaghayi , Dániel Marx

The branch displacement problem is a well-known problem in assembler design. It revolves around the feature, present in several processor families, of having different instructions, of different sizes, for jumps of different displacements.…

计算机科学中的逻辑 · 计算机科学 2012-09-27 Jaap Boender , Claudio Sacerdoti Coen

In the field of swarm robotics, one of the most studied problem is Gathering. It asks for a distributed algorithm that brings the robots to a common location, not known in advance. We consider the case of robots constrained to move along…

分布式、并行与集群计算 · 计算机科学 2025-11-12 Serafino Cicerone , Alessia Di Fonso , Gabriele Di Stefano , Alfredo Navarra

Motion planning is a key element of robotics since it empowers a robot to navigate autonomously. Particle Swarm Optimization is a simple, yet a very powerful optimization technique which has been effectively used in many complex…

机器人学 · 计算机科学 2020-08-25 M. Shahab Alam , M. Usman Rafique , M. Umer Khan

In densely-packed robot swarms operating in confined regions, spatial interference -- which manifests itself as a competition for physical space -- forces robots to spend more time navigating around each other rather than performing the…

机器人学 · 计算机科学 2019-03-12 Siddharth Mayya , Pietro Pierpaoli , Magnus Egerstedt

We initiate a general theory for analyzing the complexity of motion planning of a single robot through a graph of "gadgets", each with their own state, set of locations, and allowed traversals between locations that can depend on and change…

计算复杂性 · 计算机科学 2018-06-13 Erik D. Demaine , Isaac Grosof , Jayson Lynch , Mikhail Rudoy

We investigate dynamics of deformable self-propelled particles with a repulsive interaction whose magnitude depends on the relative direction of elongation of a pair of particles. A collective motion of the particles appears in two…

软凝聚态物质 · 物理学 2015-05-27 Yu Itino , Takahiro Ohkuma , Takao Ohta

In this paper, we deal with a size-variable group of pedestrians moving in a unknown confined environment and searching for an exit. Pedestrian dynamics are simulated by means of a recently introduced microscopic (agent-based) model,…

物理与社会 · 物理学 2019-06-28 Emiliano Cristiani , Daniele Peri

We consider the problem of connected coordinated motion planning for a large collective of simple, identical robots: From a given start grid configuration of robots, we need to reach a desired target configuration via a sequence of…

计算几何 · 计算机科学 2023-10-17 Sándor P. Fekete , Phillip Keldenich , Ramin Kosfeld , Christian Rieck , Christian Scheffer

We study a class of rearrangement problems under a novel pick-n-swap prehensile manipulation model, in which a robotic manipulator, capable of carrying an item and making item swaps, is tasked to sort items stored in lattices of variable…

机器人学 · 计算机科学 2023-01-18 Jingjin Yu

In this paper, we solve the local gathering problem of a swarm of $n$ indistinguishable, point-shaped robots on a two dimensional grid in asymptotically optimal time $\mathcal{O}(n)$ in the fully synchronous $\mathcal{FSYNC}$ time model.…

分布式、并行与集群计算 · 计算机科学 2016-02-11 Andreas Cord-Landwehr , Matthias Fischer , Daniel Jung , Friedhelm Meyer auf der Heide

Solving task planning problems involving multiple objects and multiple robotic arms poses scalability challenges. Such problems involve not only coordinating multiple high-DoF arms, but also searching through possible sequences of actions…

机器人学 · 计算机科学 2022-01-21 Rahul Shome , Kostas E. Bekris

How can a stack of identical blocks be arranged to extend beyond the edge of a table as far as possible? We consider a generalization of this classic puzzle to blocks that differ in width and mass. Despite the seemingly simple premise, we…

组合数学 · 数学 2026-02-13 Simon Gmeiner , Andreas S. Schulz

The study of emergent behavior of swarms is of great interest for applied sciences. One of the most fundamental questions for self-organizing swarms is whether the swarms disperse or remain in a spatially cohesive configuration. In the…

动力系统 · 数学 2022-05-31 Constantine Medynets , Irina Popovici

We study the parameterized complexity of a generalization of the coordinated motion planning problem on graphs, where the goal is to route a specified subset of a given set of $k$ robots to their destinations with the aim of minimizing the…

离散数学 · 计算机科学 2026-02-02 Argyrios Deligkas , Eduard Eiben , Robert Ganian , Iyad Kanj , M. S. Ramanujan

Traversing environments with arbitrary obstacles poses significant challenges for bipedal robots. In some cases, whole body motions may be necessary to maneuver around an obstacle, but most existing footstep planners can only select from a…

机器人学 · 计算机科学 2017-03-22 Michael X. Grey , Aaron D. Ames , C. Karen Liu

We present an experimental study of the kinetics of orbitally-shaken macroscopic particles confined to a two-dimensional bounded domain. Discounting the forcing action of the external periodic actuation, the particles show translational…

Robots with very limited capabilities are placed on the vertices of a graph and are required to move toward a single, common vertex, where they remain stationary once they arrive. This task is referred to as the GATHERING problem. Most of…

分布式、并行与集群计算 · 计算机科学 2025-02-10 Alfredo Navarra , Francesco Piselli

We consider collective dynamics of self-propelling particles in two dimensions. They can align themselves according to the direction of propulsion of their neighbours, together with a random perturbation (i.e. rotational fluctuation). They…

软凝聚态物质 · 物理学 2019-04-01 Shubhashis Rana , Md. Samsuzzaman , Arnab Saha

When considering motion planning for a swarm of $n$ labeled robots, we need to rearrange a given start configuration into a desired target configuration via a sequence of parallel, collision-free robot motions. The objective is to reach the…

计算几何 · 计算机科学 2024-07-25 Sándor P. Fekete , Peter Kramer , Christian Rieck , Christian Scheffer , Arne Schmidt