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Autores principales: Zeng, Peiyu, Huang, Yijiang, Huber, Simon, Coros, Stelian
Formato: Preprint
Publicado: 2024
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Acceso en línea:https://arxiv.org/abs/2412.11281
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author Zeng, Peiyu
Huang, Yijiang
Huber, Simon
Coros, Stelian
author_facet Zeng, Peiyu
Huang, Yijiang
Huber, Simon
Coros, Stelian
contents Robotic systems are routinely used in the logistics industry to enhance operational efficiency, but the design of robot workspaces remains a complex and manual task, which limits the system's flexibility to changing demands. This paper aims to automate robot workspace design by proposing a computational framework to generate a budget-minimizing layout by selectively placing stationary robots on a floor grid to sort packages from given input and output locations. Finding a good layout that minimizes the hardware budget while ensuring motion feasibility is a challenging combinatorial problem with nonconvex motion constraints. We propose a new optimization-based approach that models layout planning as a subgraph optimization problem subject to network flow constraints. Our core insight is to abstract away motion constraints from the layout optimization by precomputing a kinematic reachability graph and then extract the optimal layout on this ground graph. We validate the motion feasibility of our approach by proposing a simple task assignment and motion planning technique. We benchmark our algorithm on problems with various grid resolutions and number of outputs and show improvements in memory efficiency over a heuristic search algorithm.
format Preprint
id arxiv_https___arxiv_org_abs_2412_11281
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Budget-optimal multi-robot layout design for box sorting
Zeng, Peiyu
Huang, Yijiang
Huber, Simon
Coros, Stelian
Robotics
Robotic systems are routinely used in the logistics industry to enhance operational efficiency, but the design of robot workspaces remains a complex and manual task, which limits the system's flexibility to changing demands. This paper aims to automate robot workspace design by proposing a computational framework to generate a budget-minimizing layout by selectively placing stationary robots on a floor grid to sort packages from given input and output locations. Finding a good layout that minimizes the hardware budget while ensuring motion feasibility is a challenging combinatorial problem with nonconvex motion constraints. We propose a new optimization-based approach that models layout planning as a subgraph optimization problem subject to network flow constraints. Our core insight is to abstract away motion constraints from the layout optimization by precomputing a kinematic reachability graph and then extract the optimal layout on this ground graph. We validate the motion feasibility of our approach by proposing a simple task assignment and motion planning technique. We benchmark our algorithm on problems with various grid resolutions and number of outputs and show improvements in memory efficiency over a heuristic search algorithm.
title Budget-optimal multi-robot layout design for box sorting
topic Robotics
url https://arxiv.org/abs/2412.11281