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In this paper we present a new algorithm for a layout optimization problem: this concerns the placement of weighted polygons inside a circular container, the two objectives being to minimize imbalance of mass and to minimize the radius of…

Computational Geometry · Computer Science 2008-09-30 Yi-Chun Xu , Ren-Bin Xiao , Martyn Amos

Municipal Solid Waste systems have important economic, social, and environmental impacts for society. Within the diverse stages of the Municipal Solid Waste reverse logistic chain, the waste bin location problem consists in properly…

Physics and Society · Physics 2022-03-01 Diego Gabriel Rossit , Sergio Nesmachnow

Although quantum computing hardware has evolved significantly in recent years, spurred by increasing industrial and government interest, the size limitation of current generation quantum computers remains an obstacle when applying these…

Quantum Physics · Physics 2020-01-20 Gideon Bass , Max Henderson , Joshua Heath , Joseph Dulny

The municipal solid waste system is a complex reverse logistic chain which comprises several optimisation problems. Although these problems are interdependent, i.e., the solution to one of the problems restricts the solution to the other,…

Optimization and Control · Mathematics 2024-03-29 Arthur Mahéo , Diego Rossit , Philip Kilby

In the recent paper \cite{BDT10} we introduced a new problem that we call Bin Packing/Covering with Delivery, or BP/CD for short. Mainly we mean under this expression that we look for not only a good, but a "good and fast" packing or…

Data Structures and Algorithms · Computer Science 2015-03-20 Gyorgy Dosa , Zsolt Tuza

We consider the online bin packing problem under the advice complexity model where the 'online constraint' is relaxed and an algorithm receives partial information about the future requests. We provide tight upper and lower bounds for the…

Data Structures and Algorithms · Computer Science 2013-12-24 Joan Boyar , Shahin Kamali , Kim S. Larsen , Alejandro López-Ortiz

Quantum machine learning provides a fundamentally different approach to analyzing data. However, many interesting datasets are too complex for currently available quantum computers. Present quantum machine learning applications usually…

This article aims to bring quantum computing to robotics. A quantum algorithm is developed to minimize the distance travelled in warehouses and distribution centres where order picking is applied. For this, a proof of concept is proposed…

This paper addresses the two-dimensional bin packing problem with guillotine constraints. The problem requires a set of rectangular items to be cut from larger rectangles, known as bins, while only making use of edge-to-edge (guillotine)…

Computational Geometry · Computer Science 2025-08-28 Jeroen Gardeyn , Tony Wauters

Quantum computing is emerging as a new computing resource that could be superior to conventional computing for certain classes of optimization problems. However, in principle, most existing approaches to quantum optimization are intended to…

Optimization and Control · Mathematics 2022-01-21 Chin-Yao Chang , Eric Jones , Yiyun Yao , Peter Graf , Rishabh Jain

We study constant-factor approximation algorithms for the Bin Packing Problem with Setups (BPPS). First, we show that adaptations of classical BPP heuristics can have arbitrarily poor worst-case performance on BPPS instances. Then, we…

Optimization and Control · Mathematics 2026-01-01 Roberto Baldacci , Fabio Ciccarelli , Stefano Coniglio , Valerio Dose , Fabio Furini

We study a robust extensible bin packing problem with budgeted uncertainty, under a budgeted uncertainty model where item sizes are defined to lie in the intersection of a box with a one-norm ball. We propose a scenario generation algorithm…

Discrete Mathematics · Computer Science 2025-10-29 Noam Goldberg , Michael Poss , Yariv Marmor

In this work we propose a heuristic algorithm for the layout optimization for disks installed in a rotating circular container. This is a unequal circle packing problem with additional balance constraints. It proved to be an NP-hard…

Computational Geometry · Computer Science 2016-09-13 Washington Alves de Oliveira , Luiz Leduino de Salles Neto , Antonio Carlos Moretti , Ednei Felix Reis

Quantum annealers are suited to solve several logistic optimization problems expressed in the QUBO formulation. However, the solutions proposed by the quantum annealers are generally not optimal, as thermal noise and other disturbing…

Quantum Physics · Physics 2024-05-21 Claudio Sanavio , Edoardo Tignone , Elisa Ercolessi

Resource scheduling is critical in many industries, especially in power systems. The Unit Commitment problem determines the on/off status and output levels of generators under many constraints. Traditional exact methods, such as…

Systems and Control · Electrical Eng. & Systems 2025-11-04 Tyler Christeson , Md Habib Ullah , Ali Arabnya , Amin Khodaei , Rui Fan

In this paper, we study online multidimensional bin packing problem when all items are hypercubes. Based on the techniques in one dimensional bin packing algorithm Super Harmonic by Seiden, we give a framework for online hypercube packing…

Data Structures and Algorithms · Computer Science 2016-08-31 Xin Han , Deshi Ye , Yong Zhou

Quantum computing promises to tackle technological and industrial problems insurmountable for classical computers. However, today's quantum computers still have limited demonstrable functionality, and it is expected that scaling up to…

Motivated by a transit line planning problem in transportation systems, we investigate the following capacitated assignment problem under a budget constraint. Our model involves $L$ bins and $P$ items. Each bin $l$ has a utilization cost…

Optimization and Control · Mathematics 2024-10-11 Hongyi Jiang , Samitha Samaranayake

This study introduces a hybrid quantum-classical dispatching framework designed for power systems with high renewable penetration. The proposed method integrates a variational quantum algorithm with classical optimization to provide…

Quantum Physics · Physics 2026-01-27 Fu Zhang , Yuming Zhao

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