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Higher-dimensional orthogonal packing problems have a wide range of practical applications, including packing, cutting, and scheduling. Combining the use of our data structure for characterizing feasible packings with our new classes of…

Data Structures and Algorithms · Computer Science 2007-05-23 Sandor P. Fekete , Joerg Schepers , Jan C. van der Veen

In a recent paper, Brusco, K\"ohn and Steinley [Ann. Oper. Res. 206:611-626 (2013)] conjecture that the 2 bins special case of the one-dimensional minimax bin-packing problem with bin size constraints might be solvable in polynomial time.…

Data Structures and Algorithms · Computer Science 2014-02-10 Mariona Vilà , Jordi Pereira

We consider the irregular strip packing problem of rasterized shapes, where a given set of pieces of irregular shapes represented in pixels should be placed into a rectangular container without overlap. The rasterized shapes provide simple…

Computational Geometry · Computer Science 2022-03-23 Shunji Umetani , Shohei Murakami

This paper outlines the ideas behind developing a graph-based heuristic-driven routing algorithm designed for a particular instance of a goods transportation problem with a single good type. The proposed algorithm solves the optimization…

Artificial Intelligence · Computer Science 2021-02-16 Mikhail Shchukin , Aymen Ben Said , Andre Lobo Teixeira

Extracting a known target object from a pile of other objects in a cluttered environment is a challenging robotic manipulation task encountered in many robotic applications. In such conditions, the target object touches or is covered by…

Robotics · Computer Science 2020-02-28 Iason Sarantopoulos , Marios Kiatos , Zoe Doulgeri , Sotiris Malassiotis

We investigate approximation algorithms for several fundamental optimization problems on geometric packing. The geometric objects considered are very generic, namely $d$-dimensional convex fat objects. Our main contribution is a versatile…

Computational Geometry · Computer Science 2025-01-03 Vítor Gomes Chagas , Elisa Dell'Arriva , Flávio Keidi Miyazawa

We study the recovering bandits problem, a variant of the stochastic multi-armed bandit problem where the expected reward of each arm varies according to some unknown function of the time since the arm was last played. While being a natural…

Machine Learning · Statistics 2019-11-01 Ciara Pike-Burke , Steffen Grünewälder

This paper presents a new branch-and-cut algorithm based on infeasible path elimination for the three-dimensional loading capacitated vehicle routing problem (3L-CVRP) with different loading problem variants. We show that a previously…

Optimization and Control · Mathematics 2024-02-26 Felix Tamke , Florian Linß , Leopold Kuttner , Udo Buscher

In a physical design problem, the designer chooses values of some physical parameters, within limits, to optimize the resulting field. We focus on the specific case in which each physical design parameter is the ratio of two field…

Optimization and Control · Mathematics 2020-02-19 Guillermo Angeris , Jelena Vučković , Stephen Boyd

The aim of this paper is twofold. First, we introduce "resource constraints" as a general concept that covers many practical restrictions on experimental design. Second, for computing efficient exact designs of experiments under any…

Computation · Statistics 2014-08-08 Radoslav Harman , Alena Bachratá , Lenka Filová

Recent progress in robotic manipulation has dealt with the case of previously unknown objects in the context of relatively simple tasks, such as bin-picking. Existing methods for more constrained problems, however, such as deliberate…

Robotics · Computer Science 2020-06-30 Chaitanya Mitash , Rahul Shome , Bowen Wen , Abdeslam Boularias , Kostas Bekris

This paper considers a generalization of the Path Finding (PF) problem with refuelling constraints referred to as the Gas Station Problem (GSP). Similar to PF, given a graph where vertices are gas stations with known fuel prices, and edge…

Robotics · Computer Science 2025-02-25 Shizhe Zhao , Anushtup Nandy , Howie Choset , Sivakumar Rathinam , Zhongqiang Ren

We introduce a practical robotics solution for the task of heterogeneous bagging, requiring the placement of multiple rigid and deformable objects into a deformable bag. This is a difficult task as it features complex interactions between…

Biclustering, also known as co-clustering or two-way clustering, simultaneously partitions the rows and columns of a data matrix to reveal submatrices with coherent patterns. Incorporating background knowledge into clustering to enhance…

Optimization and Control · Mathematics 2026-02-24 Antonio M. Sudoso

This thesis introduces stochastic generalized routing problem model and proposes exact and heuristic algorithms to solve it efficiently, in a wide range of problem sizes. At first, the classic routing problem with its common variations in…

Optimization and Control · Mathematics 2019-03-08 Faraz Dadgostari

Robotic-based compact storage and retrieval systems provide high-density storage in distribution center and warehouse applications. In the system, items are stored in bins, and the bins are organized inside a three-dimensional grid. Robots…

Robotics · Computer Science 2023-12-12 Anni Yue , Stephen L. Smith

Manipulation in clutter requires solving complex sequential decision making problems in an environment rich with physical interactions. The transfer of motion planning solutions from simulation to the real world, in open-loop, suffers from…

Robotics · Computer Science 2018-07-30 Wissam Bejjani , Rafael Papallas , Matteo Leonetti , Mehmet R. Dogar

In the Colored Bin Packing problem a set of items with varying weights and colors must be packed into bins of uniform weight limit such that no two items of the same color may be packed adjacently within a bin. We solve this problem for the…

Data Structures and Algorithms · Computer Science 2015-11-17 Hamza Alsarhan , Davin Chia , Ananya Christman , Shannia Fu , Yanfeng Jin

A very simple heuristic approach to the unfolding problem will be described. An iterative algorithm starts with an empty histogram and every iteration aims to add one entry to this histogram. The entry to be added is selected according to a…

Data Analysis, Statistics and Probability · Physics 2014-11-06 Yordan Karadzhov

We study the two-dimensional (geometric) knapsack problem with rotations (2DKR), in which we are given a square knapsack and a set of rectangles with associated profits. The objective is to find a maximum profit subset of rectangles that…

Data Structures and Algorithms · Computer Science 2026-03-27 Debajyoti Kar , Arindam Khan , Andreas Wiese