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This paper describes how to make the problem of binary classification amenable to quantum computing. A formulation is employed in which the binary classifier is constructed as a thresholded linear superposition of a set of weak classifiers.…

Quantum Physics · Physics 2008-11-05 Hartmut Neven , Vasil S. Denchev , Geordie Rose , William G. Macready

We study the classic Bin Packing problem in a fully-dynamic setting, where new items can arrive and old items may depart. We want algorithms with low asymptotic competitive ratio \emph{while repacking items sparingly} between updates.…

Data Structures and Algorithms · Computer Science 2018-05-18 Anupam Gupta , Guru Guruganesh , Amit Kumar , David Wajc

Real-world optimization problems must undergo a series of transformations before becoming solvable on current quantum hardware. Even for a fixed problem, the number of possible transformation paths -- from industry-relevant formulations…

This paper introduces and approximately solves a multi-component problem where small rectangular items are produced from large rectangular bins via guillotine cuts. An item is characterized by its width, height, due date, and earliness and…

Data Structures and Algorithms · Computer Science 2017-07-28 S. Polyakovskiy , A. Makarowsky , R. M'Hallah

Major players in the global aerospace industry are shifting their focus toward achieving net carbon-neutral operations by 2050. A considerable portion of the overall carbon emission reduction is expected to come from new aircraft…

We propose an iterated local search based on several classes of local and large neighborhoods for the bin packing problem with conflicts. This problem, which combines the characteristics of both bin packing and vertex coloring, arises in…

Data Structures and Algorithms · Computer Science 2017-05-25 Renatha Capua , Yuri Frota , Luiz Satoru Ochi , Thibaut Vidal

Quantum annealing offers a promising paradigm for solving NP-hard combinatorial optimization problems, but its practical application is severely hindered by two challenges: the complex, manual process of translating problem descriptions…

Machine Learning · Computer Science 2025-09-03 Huixiang Zhang , Mahzabeen Emu , Salimur Choudhury

This paper introduces a new optimization model that integrates the multi-port stowage planning problem with the container relocation problem. This problem is formulated as a binary mathematical programming model that must find the…

Recent improvements in control of quantum systems make it seem feasible to finally build a quantum computer within a decade. While it has been shown that such a quantum computer can in principle solve certain small electronic structure…

Quantum Physics · Physics 2016-09-27 Bela Bauer , Dave Wecker , Andrew J. Millis , Matthew B. Hastings , M. Troyer

We study the following variant of the classic {\em bin packing} problem. Given a set of items of various sizes, partitioned into groups, find a packing of the items in a minimum number of identical (unit-size) bins, such that no two items…

Data Structures and Algorithms · Computer Science 2021-06-08 Ilan Doron-Arad , Ariel Kulik , Hadas Shachnai

The problem of packing boxes into a large box is often a part of a larger problem. For example in furniture supply chain applications, one needs to decide what trucks to use to transport furniture between production sites and distribution…

Optimization and Control · Mathematics 2018-02-20 Jakub Marecek

This paper tackles the multi-vehicle Coverage Path Planning (CPP) problem, crucial for applications like search and rescue or environmental monitoring. Due to its NP-hard nature, finding optimal solutions becomes infeasible with larger…

Quantum Physics · Physics 2024-07-15 Poojith U Rao , Florian Speelman , Balwinder Sodhi , Sachin Kinge

Optimal packing of objects in containers is a critical problem in various real-life and industrial applications. This paper investigates the two-dimensional packing of convex polygons without rotations, where only translations are allowed.…

Computational Geometry · Computer Science 2023-08-17 Adam Kurpisz , Silvan Suter

Quantum computation has demonstrated a promising alternative to solving the NP-hard combinatorial problems. Specifically, when it comes to optimization, classical approaches become intractable to account for large-scale solutions.…

Quantum Physics · Physics 2026-01-29 Farzan Moosavi , Bilal Farooq

Many packing, scheduling and covering problems that were previously considered by computer science literature in the context of various transportation and production problems, appear also suitable for describing and modeling various…

Computer Science and Game Theory · Computer Science 2015-03-19 Elena Kleiman

The advent of quantum algorithms has initiated a discourse on the potential for quantum speedups for optimization problems. However, several factors still hinder a practical realization of the potential benefits. These include the lack of…

We propose a new approach to utilize quantum computers for binary linear programming (BLP), which can be extended to general integer linear programs (ILP). Quantum optimization algorithms, hybrid or quantum-only, are currently general…

Data Structures and Algorithms · Computer Science 2026-02-13 András Czégel , Boglárka G. -Tóth

Mobile parcel lockers (MPLs) have been recently introduced by urban logistics operators as a means to reduce traffic congestion and operational cost. Their capability to relocate their position during the day has the potential to improve…

Machine Learning · Computer Science 2024-12-25 Yubin Liu , Qiming Ye , Yuxiang Feng , Jose Escribano-Macias , Panagiotis Angeloudis

This study addresses the challenge of efficiently assigning locomotives in large freight rail networks, where operational complexity and power imbalances make cost-effective planning difficult. It presents a strategic optimization framework…

Optimization and Control · Mathematics 2025-07-31 Yunji Kim , Amira Hijazi , Kevin Dalmeijer , Pascal Van Hentenryck

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
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