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The Bin Packing Problem involves efficiently packing items into a limited number of bins without exceeding their capacity. In this paper, we try to answer a specific question in this field. Mathematically the combinatorial optimization…

General Mathematics · Mathematics 2025-08-25 Angshuman Robin Goswami

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

Packing cost accounts for a large part of the e-commerce logistics cost. Mining the patterns of customer orders and designing suitable packing bins help to reduce operating cost. In the classical bin packing problem, a given set of…

Data Structures and Algorithms · Computer Science 2018-12-10 Xinhang Zhang , Haoyuan Hu , Longfei Wang , Zhijun Sun , Ying Zhang , Kunpeng Han , Yinghui Xu

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 rapid and constant increase in urban population has led to a drastic rise in urban solid waste production with worrying consequences for the environment and society. In many cities, an efficient waste management combined with a suitable…

Optimization and Control · Mathematics 2025-02-03 Guido Marseglia , Juan Antonio Mesa , Francisco A Ortega , Ramón Piedra-de-la-Cuadra

Discovering the low-energy conformations of a molecule is of great interest to computational chemists, with applications in {\em in silico} materials design and drug discovery. In this paper, we propose a variable neighbourhood search…

Quantum Physics · Physics 2019-06-25 D. J. J. Marchand , M. Noori , A. Roberts , G. Rosenberg , B. Woods , U. Yildiz , M. Coons , D. Devore , P. Margl

In this paper, we address two optimisation problems arising in the context of city logistics and two-level transportation systems. The two-echelon vehicle routing problem and the two-echelon location routing problem seek to produce vehicle…

Data Structures and Algorithms · Computer Science 2016-10-05 Ulrich Breunig , Verena Schmid , Richard F. Hartl , Thibaut Vidal

Parameterized local search combines classic local search heuristics with the paradigm of parameterized algorithmics. While most local search algorithms aim to improve given solutions by performing one single operation on a given solution,…

Data Structures and Algorithms · Computer Science 2026-05-06 Niels Grüttemeier , Nils Morawietz , Frank Sommer

An approach to the classification problem of machine learning, based on building local classification rules, is developed. The local rules are considered as projections of the global classification rules to the event we want to classify. A…

Machine Learning · Computer Science 2007-05-23 Vladislav Malyshkin , Ray Bakhramov , Andrey Gorodetsky

This paper studies a strategy for data-driven algorithm design for large-scale combinatorial optimization problems that can leverage existing state-of-the-art solvers in general purpose ways. The goal is to arrive at new approaches that can…

Optimization and Control · Mathematics 2020-12-24 Jialin Song , Ravi Lanka , Yisong Yue , Bistra Dilkina

We consider a multi-neighborhood local search algorithm with a large number of possible neighborhoods. Each neighborhood is accompanied by a weight value which represents the probability of being chosen at each iteration. These weights are…

Artificial Intelligence · Computer Science 2016-03-22 Nguyen Thi Thanh Dang , Patrick De Causmaecker

We study the Colored Bin Packing Problem: we are given a set of items where each item has a weight and color. We must pack the items in bins of uniform capacity such that no two items of the same color may be adjacent within in a bin. The…

Data Structures and Algorithms · Computer Science 2015-09-01 Hamza Alsarhan , Davin Chia , Ananya Christman , Shannia Fu , Tony Jin

As a popular form of knowledge and experience, patterns and their identification have been critical tasks in most data mining applications. However, as far as we are aware, no study has systematically examined the dynamics of pattern values…

Optimization and Control · Mathematics 2024-09-10 Huayan Zhang , Ruibin Bai , Tie-Yan Liu , Jiawei Li , Bingchen Lin , Jianfeng Ren

The two-dimensional non-oriented bin packing problem with due dates packs a set of rectangular items, which may be rotated by 90 degrees, into identical rectangular bins. The bins have equal processing times. An item's lateness is the…

Data Structures and Algorithms · Computer Science 2017-11-09 S. Polyakovskiy , R. M'Hallah

Various forms of sorting problems have been studied over the years. Recently, two kinds of sorting puzzle apps are popularized. In these puzzles, we are given a set of bins filled with colored units, balls or water, and some empty bins.…

Locally finding a solution to symmetry-breaking tasks such as vertex-coloring, edge-coloring, maximal matching, maximal independent set, etc., is a long-standing challenge in distributed network computing. More recently, it has also become…

Data Structures and Algorithms · Computer Science 2017-02-03 Pierre Fraigniaud , Marc Heinrich , Adrian Kosowski

We present a local search framework to design and analyze both combinatorial algorithms and rounding algorithms for experimental design problems. This framework provides a unifying approach to match and improve all known results in…

Data Structures and Algorithms · Computer Science 2020-12-21 Lap Chi Lau , Hong Zhou

Two-dimensional bin packing problems are highly relevant combinatorial optimization problems. They find a large number of applications, for example, in the context of transportation or warehousing, and for the cutting of different materials…

Artificial Intelligence · Computer Science 2012-09-06 Christian Blum , Verena Schmid , Lukas Baumgartner

We present computational results with a heuristic algorithm for the parallel machines total weighted tardiness problem. The algorithm combines generalized pairwise interchange neighborhoods, dynasearch optimization and a new machine-based…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-11-08 F Croce , Thierry Garaix , A. Grosso

We consider quantile optimization of black-box functions that are estimated with noise. We propose two new iterative three-timescale local search algorithms. The first algorithm uses an appropriately modified finite-difference-based…

Optimization and Control · Mathematics 2023-08-16 Jiaqiao Hu , Meichen Song , Michael C. Fu