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Efficient packing of items into bins is a common daily task. Known as Bin Packing Problem, it has been intensively studied in the field of artificial intelligence, thanks to the wide interest from industry and logistics. Since decades, many…

Emerging Technologies · Computer Science 2023-08-04 Sebastián V. Romero , Eneko Osaba , Esther Villar-Rodriguez , Izaskun Oregi , Yue Ban

The orienteering problem (OP) is a combinatorial optimization problem that seeks a path visiting a subset of locations to maximize collected rewards under a limited resource budget. This article presents a systematic PRISMA-based review of…

Optimization and Control · Mathematics 2025-12-19 Songhao Shen , Yufeng Zhou , Qin Lei , Zhibin Wu

We consider the logistics network of an e-commerce retailer, specifically the so-called "middle mile" network, that routes inventory from supply warehouses to distribution stations to be ingested into the terminal ("last mile") delivery…

Optimization and Control · Mathematics 2025-04-29 Kyle Brubaker , Kyle E. C. Booth , Martin J. A. Schuetz , Philipp Loick , Jian Shen , Arun Ramamurthy , Georgios Paschos

Cutting and packing problems are fundamental in manufacturing and logistics, as they aim to minimize waste and improve efficiency. The Cutting Stock Problem (CSP) concerns material cutting, whereas the Bin Packing Problem (BPP) concerns…

Data Structures and Algorithms · Computer Science 2026-04-08 Renan Fernando Franco da Silva , Vinícius Loti de Lima , Rafael C. S. Schouery , Jean-François Côté , Manuel Iori

Order picking is the problem of collecting a set of products in a warehouse in a minimum amount of time. It is currently a major bottleneck in supply-chain because of its cost in time and labor force. This article presents two exact and…

Data Structures and Algorithms · Computer Science 2018-06-05 Lucie Pansart , Nicolas Catusse , Hadrien Cambazard

Given a stream of food orders and available delivery vehicles, how should orders be assigned to vehicles so that the delivery time is minimized? Several decisions have to be made: (1) assignment of orders to vehicles, (2) grouping orders…

Databases · Computer Science 2020-09-01 Manas Joshi , Arshdeep Singh , Sayan Ranu , Amitabha Bagchi , Priyank Karia , Puneet Kala

Bin Packing with Minimum Color Fragmentation (BPMCF) is an extension of the Bin Packing Problem in which each item has a size and a color and the goal is to minimize the sum of the number of bins containing items of each color. In this…

Data Structures and Algorithms · Computer Science 2018-12-04 David Bergman , Carlos Cardonha , Saharnaz Mehrani

This work studies rearrangement problems involving the sorting of robots or objects in stack-like containers, which can be accessed only from one side. Two scenarios are considered: one where every robot or object needs to reach a…

Robotics · Computer Science 2017-07-03 Shuai D. Han , Nicholas M. Stiffler , Kostas E. Bekris , Jingjin Yu

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

In this paper we present a theoretical analysis of the deterministic on-line {\em Sum of Squares} algorithm ($SS$) for bin packing introduced and studied experimentally in \cite{CJK99}, along with several new variants. $SS$ is applicable to…

Data Structures and Algorithms · Computer Science 2007-05-23 Janos Csirik , David S. Johnson , Claire Kenyon , James B. Orlin , Peter W. Shor , Richard R. Weber

This paper considers the problems of unconstrained minimization of large scale smooth convex functions having block-coordinate-wise Lipschitz continuous gradients. The block coordinate descent (BCD) method are among the first optimization…

Optimization and Control · Mathematics 2016-08-18 Ziqiang Shi , Rujie Liu

We address a new variant of packing problem called the circle bin packing problem (CBPP), which is to find a dense packing of circle items to multiple square bins so as to minimize the number of used bins. To this end, we propose an…

Artificial Intelligence · Computer Science 2020-01-23 Kun He , Kevin Tole , Fei Ni , Yong Yuan , Linyun Liao

An important area of combinatorial optimization is the study of packing and covering problems, such as Bin Packing, Multiple Knapsack, and Bin Covering. Those problems have been studied extensively from the viewpoint of approximation…

Data Structures and Algorithms · Computer Science 2020-07-07 Max Bannach , Sebastian Berndt , Marten Maack , Matthias Mnich , Alexandra Lassota , Malin Rau , Malte Skambath

In the Two-Bar Charts Packing Problem (2-BCPP), it is required to pack the bar charts (BCs) consisting of two bars into the horizontal unit-height strip of minimal length. The bars may move vertically within the strip, but it is forbidden…

Discrete Mathematics · Computer Science 2021-06-23 Adil Erzin , Georgii Melidi , Stepan Nazarenko , Roman Plotnikov

This paper studies large scale instances of a fairly general arc-routing problem as well as incorporate practical constraints in particular coming from the scheduling problem of the winter road maintenance (e.g. different priorities for and…

Artificial Intelligence · Computer Science 2020-01-30 Jiří Fink , Martin Loebl , Petra Pelikánová

Knapsack problems are among the most fundamental problems in optimization. In the Multiple Knapsack problem, we are given multiple knapsacks with different capacities and items with values and sizes. The task is to find a subset of items of…

Data Structures and Algorithms · Computer Science 2021-10-05 Franziska Eberle , Nicole Megow , Lukas Nölke , Bertrand Simon , Andreas Wiese

The following online bin packing problem is considered: Items with integer sizes are given and variable sized bins arrive online. A bin must be used if there is still an item remaining which fits in it when the bin arrives. The goal is to…

Data Structures and Algorithms · Computer Science 2018-06-05 Joan Boyar , Faith Ellen

In this paper, we give a faster width-dependent algorithm for mixed packing-covering LPs. Mixed packing-covering LPs are fundamental to combinatorial optimization in computer science and operations research. Our algorithm finds a $1+\eps$…

Optimization and Control · Mathematics 2019-10-15 Digvijay Boob , Saurabh Sawlani , Di Wang

In this paper we consider several problems concerning packet routing in distributed systems. Each problem is formulated using terms from Graph Theory and for each problem we present efficient, novel, algorithmic techniques for computing…

Data Structures and Algorithms · Computer Science 2009-06-19 Mugurel Ionut Andreica , Nicolae Tapus

We tackle the Online 3D Bin Packing Problem, a challenging yet practically useful variant of the classical Bin Packing Problem. In this problem, the items are delivered to the agent without informing the full sequence information. Agent…

Robotics · Computer Science 2023-06-05 Hang Zhao , Chenyang Zhu , Xin Xu , Hui Huang , Kai Xu