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Strategic product placement can have a strong influence on customer purchase behavior in physical stores as well as online platforms. Motivated by this, we consider the problem of optimizing the placement of substitutable products in…

Data Structures and Algorithms · Computer Science 2025-10-06 Omar El Housni , Rajan Udwani

The Capacitated Location Routing Problem is an important planning and routing problem in logistics, which generalizes the capacitated vehicle routing problem and the uncapacitated facility location problem. In this problem, we are given a…

Data Structures and Algorithms · Computer Science 2025-03-18 Jingyang Zhao , Mingyu Xiao , Shunwang Wang

This paper studies a combinatorial optimization problem which is obtained by combining the flow shop scheduling problem and the shortest path problem. The objective of the obtained problem is to select a subset of jobs that constitutes a…

Data Structures and Algorithms · Computer Science 2013-09-03 Kameng Nip , Zhenbo Wang , Fabrice Talla Nobibon , Roel Leus

The Bin Packing Problem involves efficiently packing items into a limited number of bins without exceeding their capacity. In this paper, we try to answer a specific question in this field. Mathematically the combinatorial optimization…

General Mathematics · Mathematics 2025-08-25 Angshuman Robin Goswami

We investigate several online packing problems in which convex polygons arrive one by one and have to be placed irrevocably into a container, while the aim is to minimize the used space. Among other variants, we consider strip packing and…

Computational Geometry · Computer Science 2024-04-09 Anders Aamand , Mikkel Abrahamsen , Lorenzo Beretta , Linda Kleist

This work focuses on exact methods for a Simultaneous Vehicle Routing and Crew Scheduling Problem in long-haul transport. Pickup-and-delivery requests with time windows must be fullfiled over a multi-day planning horizon. Unlike some…

Optimization and Control · Mathematics 2024-05-31 Mauro Lucci , Daniel Severin , Paula Zabala

We consider the problem of sorting a densely cluttered pile of unknown objects using a robot. This yet unsolved problem is relevant in the robotic waste sorting business. By extending previous active learning approaches to grasping, we show…

Robotics · Computer Science 2016-09-06 Janne V. Kujala , Tuomas J. Lukka , Harri Holopainen

Column-sparse packing problems arise in several contexts in both deterministic and stochastic discrete optimization. We present two unifying ideas, (non-uniform) attenuation and multiple-chance algorithms, to obtain improved approximation…

Data Structures and Algorithms · Computer Science 2019-08-07 Brian Brubach , Karthik Abinav Sankararaman , Aravind Srinivasan , Pan Xu

This paper considers the problem of finding an optimal order for entanglement swapping in a heterogeneous path of quantum repeaters so as to maximize the path throughput defined as the delivery rate of end-to-end entanglements. The primary…

Quantum Physics · Physics 2025-09-11 Van Sy Mai , Abderrahim Amlou , Amar Abane , Abdella Battou

An on-line chain partitioning algorithm receives the points of the poset from some externally determined list. Being presented with a new point the algorithm learns the comparability status of this new point to all previously presented…

Data Structures and Algorithms · Computer Science 2018-04-06 Bartłomiej Bosek

Major players in e-commerce process dynamically incoming orders in real-time and already use advanced anticipation techniques, like AI, to predict characteristics of future orders. However, at the warehousing level, there are still no…

Optimization and Control · Mathematics 2024-10-21 Catherine Lorenz , Alena Otto , Michel Gendreau

Inventory Routing Problem (IRP) is a crucial challenge in supply chain management as it involves optimizing efficient route selection while considering the uncertainty of inventory demand planning. To solve IRPs, usually a two-stage…

Machine Learning · Computer Science 2024-01-02 MD Shafikul Islam , Azmine Toushik Wasi

This paper develops a planner to find an optimal assembly sequence to assemble several objects. The input to the planner is the mesh models of the objects, the relative poses between the objects in the assembly, and the final pose of the…

Robotics · Computer Science 2016-09-13 Weiwei Wan , Kensuke Harada , Kazuyuki Nagata

For online resource allocation problems, we propose a new demand arrival model where the sequence of arrivals contains both an adversarial component and a stochastic one. Our model requires no demand forecasting; however, due to the…

Data Structures and Algorithms · Computer Science 2018-10-02 Dawsen Hwang , Patrick Jaillet , Vahideh Manshadi

We study searching and sorting in rounds motivated by a fair division question: given a cake cutting problem with $n$ players, compute a fair allocation in at most $k$ rounds of interaction with the players. Rounds interpolate between the…

Data Structures and Algorithms · Computer Science 2023-11-21 Simina Brânzei , Dimitris Paparas , Nicholas Recker

In this work we propose a heuristic algorithm for the layout optimization for disks installed in a rotating circular container. This is a unequal circle packing problem with additional balance constraints. It proved to be an NP-hard…

Computational Geometry · Computer Science 2016-09-13 Washington Alves de Oliveira , Luiz Leduino de Salles Neto , Antonio Carlos Moretti , Ednei Felix Reis

Autonomous high-speed navigation through large, complex environments requires real-time generation of agile trajectories that are dynamically feasible, collision-free, and satisfy constraints. Most modern trajectory planning techniques rely…

Robotics · Computer Science 2025-12-16 Helene J. Levy , Brett T. Lopez

The problem of biclustering consists of the simultaneous clustering of rows and columns of a matrix such that each of the submatrices induced by a pair of row and column clusters is as uniform as possible. In this paper we approximate the…

Data Structures and Algorithms · Computer Science 2008-08-22 Kai Puolamäki , Sami Hanhijärvi , Gemma C. Garriga

We propose a new caching scheme where linear combinations of the file segments are cached at the users, for the cases where the number of files is no greater than the number of users. When a user requests a certain file in the delivery…

Information Theory · Computer Science 2016-05-02 Chao Tian , Jun Chen

This paper considers scheduling on identical machines. The scheduling objective considered in this paper generalizes most scheduling minimization problems. In the problem, there are $n$ jobs and each job $j$ is associated with a…

Data Structures and Algorithms · Computer Science 2019-04-23 Benjamin Moseley
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