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We propose an algorithm for generating explicit solutions of multiparametric mixed-integer convex programs to within a given suboptimality tolerance. The algorithm is applicable to a very general class of optimization problems, but is most…

Optimization and Control · Mathematics 2019-06-12 Danylo Malyuta , Behcet Acikmese

The field of additive manufacturing (AM) has advanced considerably over recent decades through the development of novel methods, materials, and systems. However, as the field approaches maturity, it is relevant to investigate the scaling…

Materials Science · Physics 2023-07-28 David M. Wirth , Chi Chung Li , Jonathan K. Pokorski , Hayden K. Taylor , Maxim Shusteff

Although various structural optimization techniques have a sound mathematical basis, the practical constructability of optimal designs poses a great challenge in the manufacturing stage. Currently, there is only a limited number of unified…

Numerical Analysis · Mathematics 2024-07-19 Lowhikan Sivanantha Sarma , Chinthaka Mallikarachchi , Sumudu Herath

Inverse design of high-resolution and fine-detailed 3D lightweight mechanical structures is notoriously expensive due to the need for vast computational resources and the use of very fine-scaled complex meshes. Furthermore, in designing for…

The advancements in additive manufacturing (AM) technology have allowed for the production of geometrically complex parts with customizable designs. This versatility benefits large-scale space-frame structures, as the individual design of…

Computational Engineering, Finance, and Science · Computer Science 2023-12-05 Oguz Oztoprak , Alexander Paolini , Pierluigi D'Acunto , Ernst Rank , Stefan Kollmannsberger

In alloy design, the search for candidate materials is often framed as an optimization problem, with the goal of identifying Pareto-optimal solutions across multiple objectives. However, Pareto-optimal solutions do not necessarily satisfy…

Materials Science · Physics 2025-10-24 Cayden Maguire , Christofer Hardcastle , Trevor Hastings , Raymundo Arróyave , Brent Vela

Additive manufacturing (AM) techniques hold promise but face significant challenges in process planning and optimization. The large temporal and spatial variations in temperature that can occur in layer-wise AM lead to thermal excursions,…

Systems and Control · Electrical Eng. & Systems 2025-01-22 Mikhail Khrenov , William Frieden Templeton , Sneha Prabha Narra

Additive manufacturing of metal parts involves phase transformations and high temperature gradients which lead to uneven thermal expansion and contraction, and, consequently, distortion of the fabricated components. The distortion has a…

Computational Engineering, Finance, and Science · Computer Science 2023-02-15 Weiming Wang , Fred van Keulen , Jun Wu

In multi-objective optimization, the set of optimal trade-offs -- the Pareto front -- often contains regions that are extremely steep or flat. The Pareto optimal points in these regions are typically of limited interest for decision-making,…

Optimization and Control · Mathematics 2026-02-26 Markus Herrmann-Wicklmayr , Kathrin Flaßkamp

Modular reconfigurable manipulators enable quick adaptation and versatility to address different application environments and tailor to the specific requirements of the tasks. Task performance significantly depends on the manipulator's…

Robotics · Computer Science 2024-12-17 Maolin Lei , Edoardo Romiti , Arturo Laurenz , Nikos G. Tsagarakis

Maximum consensus estimation plays a critically important role in robust fitting problems in computer vision. Currently, the most prevalent algorithms for consensus maximization draw from the class of randomized hypothesize-and-verify…

Computer Vision and Pattern Recognition · Computer Science 2018-10-24 Huu Le , Tat-Jun Chin , Anders Eriksson , Thanh-Toan Do , David Suter

Tow steering technologies, such as Automated fiber placement, enable the fabrication of composite laminates with curvilinear fiber, tow, or tape paths. Designers may therefore tailor tow orientations locally according to the expected local…

Computational Engineering, Finance, and Science · Computer Science 2024-12-12 Chuan Luo , Federico Ferrari , James K. Guest

Engineering design is traditionally performed by hand: an expert makes design proposals based on past experience, and these proposals are then tested for compliance with certain target specifications. Testing for compliance is performed…

Many scientific and engineering applications feature nonsmooth convex minimization problems over convex sets. In this paper, we address an important instance of this broad class where we assume that the nonsmooth objective is equipped with…

Optimization and Control · Mathematics 2014-06-23 Quoc Tran Dinh , Anastasios Kyrillidis , Volkan Cevher

We present an improved method for topology optimization with both adaptive mesh refinement and derefinement. Since the total volume fraction in topology optimization is usually modest, after a few initial iterations the domain of…

Numerical Analysis · Mathematics 2010-09-28 Shun Wang , Eric de Sturler , Glaucio H. Paulino

The design of mobile autonomous robots is challenging due to the limited on-board resources such as processing power and energy. A promising approach is to generate intelligent schedules that reduce the resource consumption while…

In additive manufacturing (AM), particularly for laser-based metal AM, process optimization is crucial to the quality of products and the efficiency of production. The identification of optimal process parameters out of a vast parameter…

Materials Science · Physics 2024-07-25 Xiao Shang , Evelyn Li , Ajay Talbot , Haitao Wen , Tianyi Lyu , Jiahui Zhang , Yu Zou

Automated experimentation has the potential to revolutionize scientific discovery, but its effectiveness depends on well-defined optimization targets, which are often uncertain or probabilistic in real-world settings. In this work, we…

Machine Learning · Computer Science 2025-04-10 Yu Liu , Sergei V. Kalinin

The optimal design seeks the best possible solution(s) for a mechanical structure, device, or system, satisfying a series of requirements and leading to the best performance. In this work, optimized nozzle shapes have been designed for a…

Fluid Dynamics · Physics 2024-01-05 Tomas Schuller , Maziyar Jalaal , Paola Fanzio , Francisco J. Galindo-Rosales

This paper presents a topology optimization framework for structural problems subjected to transient loading. The mechanical model assumes a linear elastic isotropic material, infinitesimal strains, and a dynamic response. The optimization…

Classical Physics · Physics 2017-05-05 Reza Behrou , James K. Guest
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