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We study the problem of learning online packing skills for irregular 3D shapes, which is arguably the most challenging setting of bin packing problems. The goal is to consecutively move a sequence of 3D objects with arbitrary shapes into a…

Machine Learning · Computer Science 2023-06-05 Hang Zhao , Zherong Pan , Yang Yu , Kai Xu

We consider the following generalization of the bin packing problem. We are given a set of items each of which is associated with a rational size in the interval [0,1], and a monotone non-decreasing non-negative cost function f defined over…

Data Structures and Algorithms · Computer Science 2024-07-11 G. Jaykrishnan , Asaf Levin

We consider a variant of bin packing called multiple-choice vector bin packing. In this problem we are given a set of items, where each item can be selected in one of several $D$-dimensional incarnations. We are also given $T$ bin types,…

Data Structures and Algorithms · Computer Science 2015-05-14 Boaz Patt-Shamir , Dror Rawitz

In this study, we present a block-based heuristic search algorithm to address the nuclear waste container packing problem in the context of real-world nuclear power plants. Additionally, we provide a dataset comprising 1600 problem…

Optimization and Control · Mathematics 2025-03-13 Yajie Wen , Defu Zhang

In the bin covering problem, the goal is to fill as many bins as possible up to a certain minimal level with a given set of items of different sizes. Online variants, in which the items arrive one after another and have to be packed…

Data Structures and Algorithms · Computer Science 2015-12-16 Carsten Fischer , Heiko Röglin

Robot path planning is difficult to solve due to the contradiction between optimality of results and complexity of algorithms, even in 2D environments. To find an optimal path, the algorithm needs to search all the state space, which costs…

Robotics · Computer Science 2020-12-08 Zhaoting Li , Jiankun Wang , Max Q. -H. Meng

The two-dimensional irregular bin packing problem (2DIBPP) aims to pack a given set of irregular polygons, referred to as pieces, into fixed-size rectangular bins without overlap, while maximizing bin utilization. Although numerous…

Computational Geometry · Computer Science 2026-03-03 Yi Zhou , Haocheng Fu , Yiping Liu , Jian Mao , Zhang-Hua Fu , Yuyi Wang

A key factor that can dramatically reduce the search space during constraint solving is the criterion under which the variable to be instantiated next is selected. For this purpose numerous heuristics have been proposed. Some of the best of…

Artificial Intelligence · Computer Science 2010-08-10 Thanasis Balafoutis , Kostas Stergiou

We consider the problem of grasping in clutter. While there have been motion planners developed to address this problem in recent years, these planners are mostly tailored for open-loop execution. Open-loop execution in this domain,…

Robotics · Computer Science 2018-10-10 Wisdom C. Agboh , Mehmet R. Dogar

The Vehicle Routing Problem with Drones (VRPD) seeks to optimize the routing paths for both trucks and drones, where the trucks are responsible for delivering parcels to customer locations, and the drones are dispatched from these trucks…

Computers and Society · Computer Science 2024-04-23 Navid Mohammad Imran , Myounggyu Won

In this paper we tackle the Team Orienteering Problem with Service Times, Mandatory Nodes and Incompatibilities, introduced in~\cite{Guastalla2024} and arising from two real-world healthcare applications. We propose two heuristic algorithms…

Optimization and Control · Mathematics 2025-07-09 Alberto Guastalla , Roberto Aringhieri , Pierre Hosteins

Robots often face situations where grasping a goal object is desirable but not feasible due to other present objects preventing the grasp action. We present a deep Reinforcement Learning approach to learn grasping and pushing policies for…

Robotics · Computer Science 2024-03-19 Yongliang Wang , Kamal Mokhtar , Cock Heemskerk , Hamidreza Kasaei

Modern 3D printing technologies and the upcoming mass-customization paradigm call for efficient methods to produce and distribute arbitrarily-shaped 3D objects. This paper introduces an original algorithm to split a 3D model in parts that…

Graphics · Computer Science 2021-04-13 Marco Attene

We study a generalization of the knapsack problem with geometric and vector constraints. The input is a set of rectangular items, each with an associated profit and $d$ nonnegative weights ($d$-dimensional vector), and a square knapsack.…

Data Structures and Algorithms · Computer Science 2021-02-12 Arindam Khan , Eklavya Sharma , K. V. N. Sreenivas

Motivated by a transit line planning problem in transportation systems, we investigate the following capacitated assignment problem under a budget constraint. Our model involves $L$ bins and $P$ items. Each bin $l$ has a utilization cost…

Optimization and Control · Mathematics 2024-10-11 Hongyi Jiang , Samitha Samaranayake

In this paper we consider the two-armed bandit problem, which often naturally appears per se or as a subproblem in some multi-armed generalizations, and serves as a starting point for introducing additional problem features. The…

Optimization and Control · Mathematics 2019-06-26 Peter Jacko

In the (1-dimensional) bin packing problem, we are asked to pack all the given items into bins, each of capacity one, so that the number of non-empty bins is minimized. Zhu~[Chaos, Solitons \& Fractals 2016] proposed an approximation…

Data Structures and Algorithms · Computer Science 2025-09-23 Hiroshi Fujiwara , Rina Atsumi , Hiroaki Yamamoto

This paper considers the problem of rearrangement planning, i.e finding a sequence of manipulation actions that displace multiple objects from an initial configuration to a given goal configuration. Rearrangement is a critical skill for…

Robotics · Computer Science 2019-05-21 Changkyu Song , Abdeslam Boularias

The set of 2-dimensional packing problems builds an important class of optimization problems and Strip Packing together with 2-dimensional Bin Packing and 2-dimensional Knapsack is one of the most famous of these problems. Given a set of…

Discrete Mathematics · Computer Science 2019-02-07 Klaus Jansen , Malin Rau

Many core problems in robotics can be framed as constrained optimization problems. Often on these problems, the robotic system has uncertainty, or it would be advantageous to identify multiple high quality feasible solutions. To enable…

Robotics · Computer Science 2025-06-03 Griffin Tabor , Tucker Hermans
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