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We prove polynomial-time solvability of a large class of clustering problems where a weighted set of items has to be partitioned into clusters with respect to some balancing constraints. The data points are weighted with respect to…

Optimization and Control · Mathematics 2016-05-24 Steffen Borgwardt , Shmuel Onn

This paper outlines the ideas behind developing a graph-based heuristic-driven routing algorithm designed for a particular instance of a goods transportation problem with a single good type. The proposed algorithm solves the optimization…

Artificial Intelligence · Computer Science 2021-02-16 Mikhail Shchukin , Aymen Ben Said , Andre Lobo Teixeira

Block stacking storage systems are highly adaptable warehouse systems with low investment costs. With multiple, deep lanes they can achieve high storage densities, but accessing some unit loads can be time-consuming. The unit-load…

Data Structures and Algorithms · Computer Science 2024-07-01 Jakob Pfrommer , Anne Meyer , Kevin Tierney

The Bin Packing Problem is a classic problem with wide industrial applicability. In fact, the efficient packing of items into bins is one of the toughest challenges in many logistic corporations and is a critical issue for reducing storage…

Artificial Intelligence · Computer Science 2024-02-16 Sebastián V. Romero , Eneko Osaba , Esther Villar-Rodriguez , Antón Asla

Modern parcel logistic networks are designed to ship demand between given origin, destination pairs of nodes in an underlying directed network. Efficiency dictates that volume needs to be consolidated at intermediate nodes in typical…

Discrete Mathematics · Computer Science 2023-11-10 Madison Van Dyk , Kim Klause , Jochen Koenemann , Nicole Megow

In this paper, we study the nurse rostering problem that considers multiple units and many soft time-related constraints. An efficient branch and price solution approach that relies on a fast algorithm to solve the pricing subproblem of the…

Optimization and Control · Mathematics 2023-11-10 Wanzhe Hu , Xiaozhou He , Li Luo , Panos M. Pardalos

We present an algorithm that produces a plan for relocating obstacles in order to grasp a target in clutter by a robotic manipulator without collisions. We consider configurations where objects are densely populated in a constrained and…

Robotics · Computer Science 2019-02-20 Jinhwi Lee , Younggil Cho , Changjoo Nam , Jonghyeon Park , Changhwan Kim

Transportation occupies one-third of the amount in the logistics costs, and accordingly transportation systems largely influence the performance of the logistics system. This work presents an adaptive data-driven innovative modular approach…

Artificial Intelligence · Computer Science 2020-01-08 Emir Zunic , Dzenana Donko , Emir Buza

This work focuses on exact methods for a Simultaneous Vehicle Routing and Crew Scheduling Problem in long-haul transport. Pickup-and-delivery requests with time windows must be fullfiled over a multi-day planning horizon. Unlike some…

Optimization and Control · Mathematics 2024-05-31 Mauro Lucci , Daniel Severin , Paula Zabala

Consider a storage area where arriving items are stored temporarily in bounded capacity stacks until their departure. We look into the problem of deciding where to put an arriving item with the objective of minimizing the maximum number of…

Data Structures and Algorithms · Computer Science 2020-06-11 Martin Olsen , Allan Gross

We consider the problem of coordinating a fleet of robots in a warehouse so as to maximize the reward achieved within a time limit while respecting problem and robot specific constraints. We formulate the problem as a weighted set packing…

Artificial Intelligence · Computer Science 2020-06-11 Naveed Haghani , Jiaoyang Li , Sven Koenig , Gautam Kunapuli , Claudio Contardo , Julian Yarkony

How can a stack of identical blocks be arranged to extend beyond the edge of a table as far as possible? We consider a generalization of this classic puzzle to blocks that differ in width and mass. Despite the seemingly simple premise, we…

Combinatorics · Mathematics 2026-02-13 Simon Gmeiner , Andreas S. Schulz

One powerful technique to solve NP-hard optimization problems in practice is branch-and-reduce search---which is branch-and-bound that intermixes branching with reductions to decrease the input size. While this technique is known to be very…

Data Structures and Algorithms · Computer Science 2018-10-26 Sebastian Lamm , Christian Schulz , Darren Strash , Robert Williger , Huashuo Zhang

Nonlinear programming problems are useful in designing and assigning work schedule and also in transporting goods and services from known sources to specified destinations. The objective function could be linear or nonlinear depending on…

Optimization and Control · Mathematics 2020-02-11 Issaka Haruna , Mubarack Ahmed , Shaibu Osman

Routing and scheduling problems are fundamental problems in combinatorial optimization, and also have many applications. Most variations of these problems are NP-Hard, so we need to use heuristics to solve these problems on large instances,…

Data Structures and Algorithms · Computer Science 2015-02-20 Arindam Pal

The goal of this paper is to set a constraint programming framework to solve lot-sizing problems. More specifically, we consider a single-item lot-sizing problem with time-varying lower and upper bounds for production and inventory. The…

Optimization and Control · Mathematics 2019-07-05 Grigori German , Hadrien Cambazard , Jean-Philippe Gayon , Bernard Penz

Fast shipping and efficient routing are key problems of modern logistics. Building on previous studies that address package delivery from a source node to a destination within a graph using multiple agents (such as vehicles, drones, and…

Computational Complexity · Computer Science 2025-02-25 Simon Bartlmae , Andreas Hene , Kelin Luo

In this work we investigate the problem of order batching and picker routing in storage areas. These are labour and capital intensive problems, often responsible for a substantial share of warehouse operating costs. In particular, we…

Optimization and Control · Mathematics 2018-08-03 Cristiano Arbex Valle , John E Beasley , Alexandre Salles da Cunha

Distributing spatially located heterogeneous workloads is an important problem in parallel scientific computing. We investigate the problem of partitioning such workloads (represented as a matrix of non-negative integers) into rectangles,…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-04-14 Erik Saule , Erdeniz Ö. Baş , Ümit V. Çatalyürek

The unrestricted block relocation problem is an important optimization problem encountered at terminals, where containers are stored in stacks. It consists in determining the minimum number of container moves so as to empty the considered…

Discrete Mathematics · Computer Science 2019-09-13 Dominique Feillet , Sophie N. Parragh , Fabien Tricoire