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This paper presents a parallel genetic algorithm for three dimensional bin packing with heterogeneous bins using Hadoop Map-Reduce framework. The most common three dimensional bin packing problem which packs given set of boxes into minimum…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-11-18 Drona Pratap Chandu

We consider the online vector bin packing problem where $n$ items specified by $d$-dimensional vectors must be packed in the fewest number of identical $d$-dimensional bins. Azar et al. (STOC'13) showed that for any online algorithm $A$,…

Data Structures and Algorithms · Computer Science 2020-08-06 Nikhil Bansal , Ilan Reuven Cohen

In this paper, we present a framework used to construct and analyze algorithms for online optimization problems with deadlines or with delay over a metric space. Using this framework, we present algorithms for several different problems. We…

Data Structures and Algorithms · Computer Science 2019-04-16 Yossi Azar , Noam Touitou

We prove new lower bounds for suitable competitive ratio measures of two relaxed online packing problems: online removable multiple knapsack, and a recently introduced online minimum peak appointment scheduling problem. The high level…

Data Structures and Algorithms · Computer Science 2022-01-19 János Balogh , György Dósa , Leah Epstein , Łukasz Jeż

We introduce and study a novel generalization of the classical Bin Packing Problem (BPP), called the Bin Packing Problem with Setups (BPPS). In this problem, which has many practical applications in production planning and logistics, the…

Combinatorics · Mathematics 2025-10-06 Roberto Baldacci , Fabio Ciccarelli , Stefano Coniglio , Valerio Dose , Fabio Furini

At modern warehouses, mobile robots transport packages and drop them into collection bins/chutes based on shipping destinations grouped by, e.g., the ZIP code. System throughput, measured as the number of packages sorted per unit of time,…

Robotics · Computer Science 2023-10-30 Teng Guo , Jingjin Yu

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

This paper presents a trace-based simulation methodology for constructing representations of workload-allocator interaction. We use two-dimensional rectangular bin packing (2DBP) as our foundation. Classical 2DBP algorithms minimize their…

Programming Languages · Computer Science 2023-04-25 Christos P. Lamprakos , Sotirios Xydis , Francky Catthoor , Dimitrios Soudris

We consider a Bar Charts Packing Problem (BCPP), in which it is necessary to pack bar charts (BCs) in a strip of minimum length. The problem is, on the one hand, a generalization of the Bin Packing Problem (BPP), and, on the other hand, a…

Data Structures and Algorithms · Computer Science 2021-01-05 Adil Erzin , Gregory Melidi , Stepan Nazarenko , Roman Plotnikov

With an increasing demand from emerging logistics businesses, Vehicle Routing Problem with Private fleet and common Carrier (VRPPC) has been introduced to manage package delivery services from a supplier to customers. However, almost all of…

Artificial Intelligence · Computer Science 2018-02-26 Suttinee Sawadsitang , Rakpong Kaewpuang , Siwei Jiang , Dusit Niyato , Ping Wang

In many problems, the inputs arrive over time, and must be dealt with irrevocably when they arrive. Such problems are online problems. A common method of solving online problems is to first solve the corresponding linear program, and then…

Data Structures and Algorithms · Computer Science 2012-04-04 Umang Bhaskar , Lisa Fleischer

In this letter, we consider the Multi-Robot Efficient Search Path Planning (MESPP) problem, where a team of robots is deployed in a graph-represented environment to capture a moving target within a given deadline. We prove this problem to…

Robotics · Computer Science 2021-01-14 Beatriz A. Asfora , Jacopo Banfi , Mark Campbell

Recent years have witnessed a rapid growth of distributed machine learning (ML) frameworks, which exploit the massive parallelism of computing clusters to expedite ML training. However, the proliferation of distributed ML frameworks also…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-05-16 Menglu Yu , Jia Liu , Chuan Wu , Bo Ji , Elizabeth S. Bentley

The number of optimization techniques in the combinatorial domain is large and diversified. Nevertheless, real-world based benchmarks for testing algorithms are few. This work creates an extensible real-world mail delivery benchmark to the…

Artificial Intelligence · Computer Science 2018-01-03 Luis A. A. Meira , Paulo S. Martins , Mauro Menzori , Guilherme A. Zeni

Many robot tasks require attending to the history of past observations. For example, finding an item in a room requires remembering which places have already been searched. However, the best-performing robot policies typically condition…

Robotics · Computer Science 2026-02-19 Max Sobol Mark , Jacky Liang , Maria Attarian , Chuyuan Fu , Debidatta Dwibedi , Dhruv Shah , Aviral Kumar

We consider the Ordered Open End Bin Packing problem. Items of sizes in $(0,1]$ are presented one by one, to be assigned to bins in this order. An item can be assigned to any bin for which the current total size strictly below $1$. This…

Data Structures and Algorithms · Computer Science 2020-10-15 János Balogh , Leah Epstein , Asaf Levin

Higher-dimensional orthogonal packing problems have a wide range of practical applications, including packing, cutting, and scheduling. Previous efforts for exact algorithms have been unable to avoid structural problems that appear for…

Data Structures and Algorithms · Computer Science 2007-05-23 Sandor P. Fekete , Joerg Schepers

We study multi-label classification (MLC) with three important real-world issues: online updating, label space dimensional reduction (LSDR), and cost-sensitivity. Current MLC algorithms have not been designed to address these three issues…

Machine Learning · Computer Science 2019-02-07 Hong-Min Chu , Kuan-Hao Huang , Hsuan-Tien Lin

Parcel sorting operations in logistics enterprises aim to achieve a high throughput of parcels through sorting centers. These sorting centers are composed of large circular conveyor belts on which incoming parcels are placed, with multiple…

Systems and Control · Electrical Eng. & Systems 2021-12-10 Supratim Ghosh , Aritra Pal , Prashant Kumar , Ankush Ojha , Aditya Paranjape , Souvik Barat , Harshad Khadilkar

We study a two-dimensional generalization of the classical Bin Packing problem, denoted as 2D Demand Bin Packing. In this context, each bin is a horizontal timeline, and rectangular tasks (representing electric appliances or computational…

Data Structures and Algorithms · Computer Science 2025-08-20 Susanne Albers , Waldo Gálvez , Ömer Behic Özdemir
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