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We present new approximation schemes for bin packing based on the following two approaches: (1) partitioning the given problem into mostly identical sub-problems of constant size and then construct a solution by combining the solutions of…

Data Structures and Algorithms · Computer Science 2019-02-12 Srikrishnan Divakaran

Operations research practitioners frequently want to model complicated functions that are are difficult to encode in their underlying optimisation framework. A common approach is to solve an approximate model, and to use a simulation to…

Optimization and Control · Mathematics 2022-07-06 Michael Forbes , Mitchell Harris , Marijn Jansen , Femke van der Schoot , Thomas Taimre

Balanced partitioning is often a crucial first step in solving large-scale graph optimization problems, e.g., in some cases, a big graph can be chopped into pieces that fit on one machine to be processed independently before stitching the…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-12-10 Kevin Aydin , MohammadHossein Bateni , Vahab Mirrokni

In this paper, we present a solution for low-latency deadline-constrained DNN offloading on mobile edge devices. We design a scheduling algorithm with lightweight network state representation, considering device availability, communication…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-10-03 Jamie Cotter , Ignacio Castineiras , Victor Cionca

To facilitate load balancing, distributed systems store data redundantly. We evaluate the load balancing performance of storage schemes in which each object is stored at $d$ different nodes, and each node stores the same number of objects.…

Performance · Computer Science 2021-01-26 Mehmet Fatih Aktas , Amir Behrouzi-Far , Emina Soljanin , Philip Whiting

This paper presents an evaluation framework for assessing Large Language Models' (LLMs) capabilities in combinatorial optimization, specifically addressing the 2D bin-packing problem. We introduce a systematic methodology that combines LLMs…

Artificial Intelligence · Computer Science 2025-10-03 Syed Mahbubul Huq , Daniel Brito , Daniel Sikar , Chris Child , Tillman Weyde , Rajesh Mojumder

Caching at mobile devices and leveraging device- to-device (D2D) communication are two promising approaches to support massive content delivery over wireless networks. The analysis of cache-enabled wireless networks is usually carried out…

Information Theory · Computer Science 2020-03-25 Ramy Amer , Hesham Elsawy , M. Majid Butt , Eduard A. Jorswieck , Mehdi Bennis , Nicola Marchetti

Balanced circular bin packing problems consist in positioning a given number of weighted circles in order to minimize the radius of a circular container while satisfying equilibrium constraints. These problems are NP-hard, highly…

Artificial Intelligence · Computer Science 2023-06-07 Juliette Gamot , Mathieu Balesdent , Romain Wuilbercq , Arnault Tremolet , Nouredine Melab , El-Ghazali Talbi

This paper gives poly-logarithmic-round, distributed D-approximation algorithms for covering problems with submodular cost and monotone covering constraints (Submodular-cost Covering). The approximation ratio D is the maximum number of…

Data Structures and Algorithms · Computer Science 2020-05-29 Christos Koufogiannakis , Neal E. Young

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

While load balancing in distributed-memory computing has been well-studied, we present an innovative approach to this problem: a unified, reduced-order model that combines three key components to describe "work" in a distributed system:…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-04-26 Jonathan Lifflander , Philippe P. Pebay , Nicole L. Slattengren , Pierre L. Pebay , Robert A. Pfeiffer , Joseph D. Kotulski , Sean T. McGovern

Order picking and order packing entail retrieving items from storage and packaging them according to customer requests. These activities have always been the main concerns of the companies in reducing warehouse management costs. This paper…

Optimization and Control · Mathematics 2022-06-24 Sen Xue , Chuanhou Gao

We consider the sequential allocation of $m$ balls (jobs) into $n$ bins (servers) by allowing each ball to choose from some bins sampled uniformly at random. The goal is to maintain a small gap between the maximum load and the average load.…

Discrete Mathematics · Computer Science 2023-08-11 Dimitrios Los , Thomas Sauerwald , John Sylvester

Bin-picking is a practical and challenging robotic manipulation task, where accurate 6D pose estimation plays a pivotal role. The workpieces in bin-picking are typically textureless and randomly stacked in a bin, which poses a significant…

Computer Vision and Pattern Recognition · Computer Science 2025-02-04 Jianqiu Chen , Zikun Zhou , Xin Li , Ye Zheng , Tianpeng Bao , Zhenyu He

In this paper, we focus on improving binary 2D instance segmentation to assist humans in labeling ground truth datasets with polygons. Humans labeler just have to draw boxes around objects, and polygons are generated automatically. To be…

Computer Vision and Pattern Recognition · Computer Science 2022-08-25 Darshan Ganganna Ravindra , Laslo Dinges , Al-Hamadi Ayoub , Vasili Baranau

Recent progress in the field of robotic manipulation has generated interest in fully automatic object packing in warehouses. This paper proposes a formulation of the packing problem that is tailored to the automated warehousing domain.…

Robotics · Computer Science 2018-12-12 Fan Wang , Kris Hauser

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

The Bin Packing Problem (BPP) is a well-established combinatorial optimization (CO) problem. Since it has many applications in our daily life, e.g. logistics and resource allocation, people are seeking efficient bin packing algorithms. On…

Machine Learning · Computer Science 2023-12-14 Wenjie Wu , Changjun Fan , Jincai Huang , Zhong Liu , Junchi Yan

The online 3D bin packing problem is important in logistics, warehousing and intelligent manufacturing, with solutions shifting to deep reinforcement learning (DRL) which faces challenges like low sample efficiency. This paper proposes a…

Robotics · Computer Science 2026-04-14 Jie Han , Tong Li , Qingyang Xu , Yong Song , Bao Pang , Xianfeng Yuan

The block relocation problem (BRP) is a fundamental operational issue in modern warehouse and yard management, which, however, is very challenging to solve. In this paper, to advance our understanding on this problem and to provide a…

Optimization and Control · Mathematics 2020-01-01 Chao Lu , Bo Zeng , Shixin Liu
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