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Mixed Integer Programming (MIP) is NP-hard, and yet modern solvers often solve large real-world problems within minutes. This success can partially be attributed to heuristics. Since their behavior is highly instance-dependent, relying on…

Optimization and Control · Mathematics 2023-04-10 Antonia Chmiela , Ambros Gleixner , Pawel Lichocki , Sebastian Pokutta

The increasing use of autonomous robot systems in hazardous environments underscores the need for efficient search and rescue operations. Despite significant advancements, existing literature on object search often falls short in overcoming…

Robotics · Computer Science 2024-04-08 Matthew Collins , Jared J. Beard , Nicholas Ohi , Yu Gu

The Split Packing algorithm \cite{splitpacking_ws, splitpackingsoda, splitpacking} is an offline algorithm that packs a set of circles into triangles and squares up to critical density. In this paper, we develop an online alternative to…

Computational Geometry · Computer Science 2018-11-22 Shunhao Oh , Seth Gilbert

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

This paper addresses the single-item single-stocking location stochastic lot sizing problem under the $(s, S) $ policy. We first present a mixed integer non-linear programming (MINLP) formulation for determining near-optimal $(s, S)$ policy…

Optimization and Control · Mathematics 2018-09-17 Mengyuan Xiang , Roberto Rossi , Belen Martin-Barragan , S. Armagan Tarim

We introduce a novel quantum computing heuristic for solving the irregular strip packing problem, a significant challenge in optimizing material usage across various industries. This problem involves arranging a set of irregular polygonal…

Quantum Physics · Physics 2024-02-28 Paul-Amaury Matt , Marco Roth

The Submodular Bin Packing (SMBP) problem asks for packing unsplittable items into a minimal number of bins for which the capacity utilization function is submodular. SMBP is equivalent to chance-constrained and robust bin packing problems…

Optimization and Control · Mathematics 2023-09-12 Liding Xu , Claudia D'Ambrosio , Sonia Haddad Vanier , Emiliano Traversi

Automated bin-picking is a prerequisite for fully automated manufacturing and warehouses. To successfully pick an item from an unstructured bin the robot needs to first detect possible grasps for the objects, decide on the object to remove…

Robotics · Computer Science 2022-11-22 Ilyes Toumi , Andreas Orthey , Alexander von Rohr , Ngo Anh Vien

Mixed packing and covering problems are problems that can be formulated as linear programs using only non-negative coefficients. Examples include multicommodity network flow, the Held-Karp lower bound on TSP, fractional relaxations of set…

Data Structures and Algorithms · Computer Science 2016-01-19 Neal E. Young

Object pose estimation is a crucial prerequisite for robots to perform autonomous manipulation in clutter. Real-world bin-picking settings such as warehouses present additional challenges, e.g., new objects are added constantly. Most of the…

Computer Vision and Pattern Recognition · Computer Science 2018-10-09 Arul Selvam Periyasamy , Max Schwarz , Sven Behnke

We consider the capacitated three-level lot-sizing and replenishment problem with a distribution structure (3LSPD-C), recently proposed in the literature. In 3LSPD-C, a single production plant delivers items to the warehouses from where…

Optimization and Control · Mathematics 2021-12-24 Jesus O. Cunha , Geraldo R. Mateus , Rafael A. Melo

This paper introduces bucket calculus, a novel mathematical framework that fundamentally transforms the computational complexity landscape of parallel machine scheduling optimization. We address the strongly NP-hard problem…

Computational Complexity · Computer Science 2026-02-03 Noor Islam S. Mohammad

Recently, many enterprises are facing the difficulties brought out by the limitation of warehouse land and the increase of loan cost. As a promising approach to improve space utilization rate, puzzle-based storage systems (PBSSs) are…

Systems and Control · Electrical Eng. & Systems 2021-02-19 Yang Zou , Mingyao Qi

This study introduces the Box Allocation Problem (BAP), a novel optimization challenge in the $1.4 billion UK meal kit delivery market. BAP involves assigning orders across multiple production facilities to minimize daily recipe variations…

Optimization and Control · Mathematics 2025-09-09 Thi Minh Thu Nguyen , Loic Genest , Alain Zemkoho

The Binary Space Partitioning-Tree~(BSP-Tree) process was recently proposed as an efficient strategy for space partitioning tasks. Because it uses more than one dimension to partition the space, the BSP-Tree Process is more efficient and…

Machine Learning · Statistics 2020-03-03 Xuhui Fan , Bin Li , Scott A. Sisson

Bin packing problem examines the minimum number of identical bins needed to pack a set of items of various weights. This problem arises in various areas of the artificial intelligence demanding derivation of the exact solutions in the…

Optimization and Control · Mathematics 2019-09-04 Masoud Ataei , Shengyuan Chen

Due to the complication of the presented problem, intelligent algorithms show great power to solve the parts logistics optimization problem related to the vehicle routing problem (VRP). However, most of the existing research to VRP are…

Artificial Intelligence · Computer Science 2019-03-19 Yaoting Huang , Boyu Chen , Wenlian Lu , Zhong-Xiao Jin , Ren Zheng

Rank aggregation problems aim to combine multiple individual orderings of a common set of items into a consensus ranking that best reflects the collective preferences. This paper introduces a general Integer Linear Programming (ILP)…

Optimization and Control · Mathematics 2025-11-25 Juan A. Aledo , Concepción Domínguez , Juan de Dios Jaime-Alcántara , Mercedes Landete

In this paper, we study the use of hybrid classical-quantum annealing technology to solve a critical business optimization problem that is a form of multiproduct multi-bin packing in three dimensions with support constraints and case…

Optimization and Control · Mathematics 2024-08-29 Mohsen Rahmani , Nitish Umang , Mason Christensen

This paper addresses the Quadratic Multiple Constraints Variable-Sized Bin Packing Problem (QMC-VSBPP), a challenging combinatorial optimization problem that generalizes the classical bin packing problem by incorporating multiple capacity…

Neural and Evolutionary Computing · Computer Science 2026-03-27 Natalia A. Santos , Marlon Jeske , Antonio A. Chaves