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2D nesting problems rank among the most challenging cutting and packing problems. Yet, despite their practical relevance, research over the past decade has seen remarkably little progress. One reasonable explanation could be that nesting…

Computational Geometry · Computer Science 2026-02-12 Jeroen Gardeyn , Greet Vanden Berghe , Tony Wauters

We study a new variant of the vehicle routing problem, called the Mobile Production Vehicle Routing Problem (MoP-VRP). In this problem, vehicles are equipped with 3D printers, and production takes place on the way to the customer. The…

Optimization and Control · Mathematics 2022-03-04 Yu Wang , Stefan Ropke , Min Wen , Simon Bergh

Routing problems are canonical combinatorial optimization tasks with wide-ranging applications in logistics, transportation, and supply chain management. However, solving these problems becomes significantly more challenging when complex…

Optimization and Control · Mathematics 2026-04-06 Tianyou Li , Haijun Zou , Jiayuan Wu , Zaiwen Wen

There exist numerous ways of representing 3D orientations. Each representation has both limitations and unique features. Choosing the best representation for one task is often a difficult chore, and there exist conflicting opinions on which…

In this work, we investigate the problem of order batching and picker routing in warehouse storage areas. These problems are known to be capital and labour intensive, and often contribute to a sizable fraction of warehouse operating costs.…

Data Structures and Algorithms · Computer Science 2020-02-04 Wei Hao Khoong

Recent progress in the field of robotic manipulation has generated interest in fully automatic object packing in warehouses. This paper proposes a formulation of the packing problem that is tailored to the automated warehousing domain.…

Robotics · Computer Science 2018-12-12 Fan Wang , Kris Hauser

This paper presents a learning based planner for computing optimized 3D printing toolpaths on prescribed graphs, the challenges of which include the varying graph structures on different models and the large scale of nodes & edges on a…

This paper introduces a novel curve-based slicing method for generating planar layers with dynamically varying orientations in digital light processing (DLP) 3D printing. Our approach effectively addresses key challenges in DLP printing,…

Graphics · Computer Science 2025-09-03 Chengkai Dai , Tao Liu , Dezhao Guo , Binzhi Sun , Guoxin Fang , Yeung Yam , Charlie C. L. Wang

This paper presents in-situ X-ray computed tomography (CT) experiments used to study the flow behavior within a conventional hot-end of a fused filament fabrication printer. Three types of experiments were performed to better understand the…

Fluid Dynamics · Physics 2024-02-06 Julian Kattinger , Mike Kornely , Julian Ehrler , Christian Bonten , Marc Kreutzbruck

Multi-directional 3D printing has the capability of decreasing or eliminating the need for support structures. Recent work proposed a beam-guided search algorithm to find an optimized sequence of plane-clipping, which gives volume…

Graphics · Computer Science 2020-07-21 Chenming Wu , Yong-Jin Liu , Charlie C. L. Wang

This paper reviews the overview of the dynamic shortest path routing problem and the various neural networks to solve it. Different shortest path optimization problems can be solved by using various neural networks algorithms. The routing…

Neural and Evolutionary Computing · Computer Science 2010-06-01 R. Nallusamy , K. Duraiswamy

Global routing has been a historically challenging problem in electronic circuit design, where the challenge is to connect a large and arbitrary number of circuit components with wires without violating the design rules for the printed…

Machine Learning · Computer Science 2019-06-24 Haiguang Liao , Wentai Zhang , Xuliang Dong , Barnabas Poczos , Kenji Shimada , Levent Burak Kara

We propose a new model for formalizing reward collection problems on graphs with dynamically generated rewards which may appear and disappear based on a stochastic model. The *robot routing problem* is modeled as a graph whose nodes are…

Systems and Control · Computer Science 2017-07-18 Rayna Dimitrova , Ivan Gavran , Rupak Majumdar , Vinayak S. Prabhu , Sadegh Esmaeil Zadeh Soudjani

Accurate estimation of production times is critical for effective manufacturing scheduling, yet traditional methods relying on expert analysis or historical data often fall short in dynamic or customized production environments. This paper…

Machine Learning · Computer Science 2025-09-05 Grzegorz Miebs , Rafał A. Bachorz

The quality of 3D prints often varies due to different conditions inherent to each print, such as filament type, print speed, and nozzle size. Closed-loop process control methods improve the accuracy and repeatability of 3D prints. However,…

Optimization and Control · Mathematics 2024-03-26 Xavier Guidetti , Ankita Mukne , Marvin Rueppel , Yannick Nagel , Efe C. Balta , John Lygeros

We explore efficient optimization of toolpaths based on multiple criteria for large instances of 3D printing problems. We first show that the minimum turn cost 3D printing problem is NP-hard, even when the region is a simple polygon. We…

Graphics · Computer Science 2022-07-25 Prashant Gupta , Yiran Guo , Narasimha Boddeti , Bala Krishnamoorthy

The most important aim in tool path generation methods is to increase the machining efficiency by minimizing the total length of tool paths while the error is kept under a prescribed tolerance. This can be achieved by determining the moving…

Computational Geometry · Computer Science 2014-02-06 Márta Szilvási-Nagy , Gyula Mátyási , Szilvia Béla

Since the Bin Packing Problem (BPP) is one of the main NP-hard problems, a lot of approximation algorithms have been suggested for it. It has been proven that the best algorithm for BPP has the approximation ratio of 3/2 and the time order…

Discrete Mathematics · Computer Science 2016-10-28 Abdolahad Noori Zehmakan

In this paper a phase-field approach for structural topology optimization for a 3D-printing process which includes stress constraint and potentially multiple materials or multiscales is analyzed. First order necessary optimality conditions…

Optimization and Control · Mathematics 2019-07-16 Ferdinando Auricchio , Elena Bonetti , Massimo Carraturo , Dietmar Hömberg , Alessandro Reali , Elisabetta Rocca

Energy consumption is the major contributor associated with large and growing transportation cost in logistics. Optimal vehicle routing approaches can provide solutions to reduce their operating costs and address implications on energy.…

Optimization and Control · Mathematics 2020-01-24 Harshavardhan Desai , Ben Remer , Behdad Chalaki , Liuhui Zhao , Andreas Malikopoulos , Jackeline Rios-Torres