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This paper investigates a critical resource allocation problem in the first party cloud: scheduling containers to machines. There are tens of services and each service runs a set of homogeneous containers with dynamic resource usage;…

Optimization and Control · Mathematics 2022-07-25 Jie Yan , Yunlei Lu , Liting Chen , Si Qin , Yixin Fang , Qingwei Lin , Thomas Moscibroda , Saravan Rajmohan , Dongmei Zhang

The online bin packing problem and its variants are regularly used to model server allocation problems. Modern concerns surrounding sustainability and overcommitment in cloud computing motivate bin packing models that capture costs…

Data Structures and Algorithms · Computer Science 2025-11-03 Jackson Bibbens , Cooper Sigrist , Bo Sun , Shahin Kamali , Mohammad Hajiesmaili

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

The Colored Bin Packing Problem (CBPP) is a generalization of the Bin Packing Problem (BPP). The CBPP consists of packing a set of items, each with a weight and a color, in bins of limited capacity, minimizing the number of used bins and…

Artificial Intelligence · Computer Science 2024-07-09 Renan F. F. da Silva , Yulle G. F. Borges , Rafael C. S. Schouery

Solving real-world optimization problems with quantum computing requires choosing between a large number of options concerning formulation, encoding, algorithm and hardware. Finding good solution paths is challenging for end users and…

There has never been a more exciting time for the future of quantum computing than now. Near-term quantum computing usage is now the next XPRIZE. With that challenge in mind we have explored a new approach as a hybrid quantum-classical…

Emerging Technologies · Computer Science 2024-04-23 James Holliday , Braeden Morgan , Hugh Churchill , Khoa Luu

The optimization of front-end crude oil scheduling is a critical determinant of refinery profitability and operational stability. However, the coupling of discrete logistics events (e.g., vessel berthing) with continuous material flows…

Quantum Physics · Physics 2026-04-30 Jian Yang , Bohang Wang , Lina Wang , Jiacheng Chen , Gaoxiang Tang , Zihan Deng , Wending Zhao , Xianfeng Cai

Quadratic unconstrained binary optimization problems (QUBOs) are intensively discussed in the realm of quantum computing and polynomial optimization. We provide a vast experimental study of semidefinite programming (SDP) relaxations of…

The logistic network design is an abstract optimization problem that, under the assumption of minimal cost, seeks the optimal configuration of the supply chain's infrastructures and facilities based on customer demand. Key economic…

Quantum Physics · Physics 2021-02-04 Yongcheng Ding , Xi Chen , Lucas Lamata , Enrique Solano , Mikel Sanz

Recent LLM-driven discoveries have renewed interest in geometric packing problems. In this paper, we study several classes of such packing problems through the lens of modern global nonlinear optimization. Starting from comparatively direct…

Optimization and Control · Mathematics 2026-05-07 Timo Berthold , Dominik Kamp , Gioni Mexi , Sebastian Pokutta , Imre Polik

The bin-packing problem continues to remain relevant in numerous application areas. This technical report discusses the empirical performance of different bin-packing heuristics for certain test problems.

Optimization and Control · Mathematics 2021-04-27 Bastian Rieck

Quantum computing is developing fast. Real world applications are within reach in the coming years. One of the most promising areas is combinatorial optimisation, where the Quadratic Unconstrained Binary Optimisation (QUBO) problem…

Quantum Physics · Physics 2020-07-06 Frank Phillipson , Irina Chiscop

The Bin Packing Problem is one of the most important Combinatorial Optimization problems in optimization and has a lot of real-world applications. Many approximation algorithms have been presented for this problem because of its NP-hard…

Data Structures and Algorithms · Computer Science 2015-09-22 Abdolahad Noori Zehmakan , Mojtaba Eslahi

Fitting geometric models onto outlier contaminated data is provably intractable. Many computer vision systems rely on random sampling heuristics to solve robust fitting, which do not provide optimality guarantees and error bounds. It is…

Computer Vision and Pattern Recognition · Computer Science 2022-06-28 Anh-Dzung Doan , Michele Sasdelli , David Suter , Tat-Jun Chin

In this submission we solve the Aircraft Loading Optimization problem of the Airbus Quantum Computing Challenge. Finding the optimal loading for a plane is a challenging task for classical algorithms, especially because the solution must…

Quantum Physics · Physics 2021-02-23 Giovanni Pilon , Nicola Gugole , Nicola Massarenti

In this paper we present the first algorithm with optimal average-case and close-to-best known worst-case performance for the classic on-line problem of bin packing. It has long been observed that known bin packing algorithms with optimal…

Data Structures and Algorithms · Computer Science 2014-04-18 Shahin Kamali , Alejandro López-Ortiz

Municipal solid waste management is a major challenge for nowadays urban societies, because it accounts for a large proportion of public budget and, when mishandled, it can lead to environmental and social problems. This work focuses on the…

Other Computer Science · Computer Science 2021-03-12 Diego Gabriel Rossit , Jamal Toutouh , Sergio Nesmachnow

The bin packing problem exists widely in real logistic scenarios (e.g., packing pipeline, express delivery), with its goal to improve the packing efficiency and reduce the transportation cost. In this NP-hard combinatorial optimization…

Artificial Intelligence · Computer Science 2022-02-28 Jiahui Duan , Xialiang Tong , Fei Ni , Zhenan He , Lei Chen , Mingxuan Yuan

Bin Packing with Conflicts (BPC) are problems in which items with compatibility constraints must be packed in the least number of bins, not exceeding the capacity of the bins and ensuring that non-conflicting items are packed in each bin.…

Data Structures and Algorithms · Computer Science 2019-05-10 Luiz F. O. Moura Santos , Hugo T. Y. Yoshizaki , Claudio B. Cunha

We consider a variant of bin packing called multiple-choice vector bin packing. In this problem we are given a set of items, where each item can be selected in one of several $D$-dimensional incarnations. We are also given $T$ bin types,…

Data Structures and Algorithms · Computer Science 2015-05-14 Boaz Patt-Shamir , Dror Rawitz
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