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While consolidation strategies form the backbone of many supply chain optimisation problems, exploitation of multi-tier material relationships through consolidation remains an understudied area, despite being a prominent feature of…

Computational Engineering, Finance, and Science · Computer Science 2025-01-03 Vinod Kumar Chauhan , Muhannad Alomari , James Arney , Ajith Kumar Parlikad , Alexandra Brintrup

In all structural models, the section or fiber response is a relation between the strain measures and the stress resultants. This relation can only be expressed in a simple analytical form when the material response is linear elastic. For…

Classical Physics · Physics 2020-03-18 David Portillo , Bastian Oesterle , Rebecca Thierer , Manfred Bischoff , Ignacio Romero

This paper presents an analysis of the energy consumption of an extensive number of the optimisations a modern compiler can perform. Using GCC as a test case, we evaluate a set of ten carefully selected benchmarks for five different…

Performance · Computer Science 2014-01-27 James Pallister , Simon Hollis , Jeremy Bennett

A topology optimization problem in a phase field setting is considered to obtain rigid structures, which are resilient to external forces and constructable with additive manufacturing. Hence, large deformations of overhangs due to gravity…

Optimization and Control · Mathematics 2026-02-24 Luise Blank , Maximilian Urmann

The increasing recognition of the association between adverse human health conditions and many environmental substances as well as processes has led to the need to monitor them. An important problem that arises in environmental statistics…

Applications · Statistics 2020-02-05 Yu Wang , Nhu D. Le , James V. Zidek

The increasing demands of sustainable energy, electronics, and biomedical applications call for next-generation functional materials with unprecedented properties. Of particular interest are emerging materials that display exceptional…

Collision-tolerant trajectory planning is the consideration that collisions, if they are planned appropriately, enable more effective path planning for robots capable of handling them. A mixed integer programming (MIP) optimization…

Robotics · Computer Science 2016-11-24 Mark L. Mote , Juan-Pablo Afman , Eric Feron

We develop an optimization framework for the design of acoustic cloaks, with the aim of overcoming the limitations of usual transformation-based cloaks in terms of microstructure complexity and shape arbitrarity of the obstacle. This is…

Optimization and Control · Mathematics 2022-02-16 Sebastiano Cominelli , Davide Enrico Quadrelli , Carlo Sinigaglia , Francesco Braghin

From self-assembly and protein folding to combinatorial metamaterials, a key challenge in material design is finding the right combination of interacting building blocks that yield targeted properties. Such structures are fiendishly…

Soft Condensed Matter · Physics 2025-06-26 Ryan van Mastrigt , Marjolein Dijkstra , Martin van Hecke , Corentin Coulais

Topology optimization is an important basis for the design of components. Here, the optimal structure is found within a design space subject to boundary conditions. Thereby, the specific material law has a strong impact on the final design.…

Computational Engineering, Finance, and Science · Computer Science 2024-04-29 Miriam Kick , Philipp Junker

The paper presents a topology optimization approach that designs an optimal structure, called a self-supporting structure, which is ready to be fabricated via additive manufacturing without the usage of additional support structures. Such…

Computational Engineering, Finance, and Science · Computer Science 2017-08-25 Dengyang Zhao , Ming Li , Yusheng Liu

Global optimization of decision trees is a long-standing challenge in combinatorial optimization, yet such models play an important role in interpretable machine learning. Although the problem has been investigated for several decades, only…

Machine Learning · Computer Science 2026-02-03 Jiancheng Tu , Wenqi Fan , Zhibin Wu

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…

The goal to decarbonize the energy sector has led to increased research in modeling and optimizing multi-energy systems. One of the most promising techniques for modeling (multi-)energy optimization problems is mixed-integer programming…

Optimization and Control · Mathematics 2025-05-21 Stephanie Riedmüller , Annika Buchholz , Janina Zittel

Topology optimization produces designs with intricate geometries and complex topologies that require advanced manufacturing techniques such as additive manufacturing (AM). However, insufficient consideration of manufacturability during the…

Computational Engineering, Finance, and Science · Computer Science 2025-02-28 Seungheon Shin , Byeonghyeon Goh , Youngtaek Oh , Hayoung Chung

Combined climate mitigation/geoengineering approach has better economic utility, less emission control rate and temperature increase than mitigation alone. If setting the 50% reduction rate and 2^\circC temperature increase as constrains,…

Atmospheric and Oceanic Physics · Physics 2010-03-30 Wang Liang , Huang Qiu-An

We typically construct optimal designs based on a single objective function. To better capture the breadth of an experiment's goals, we could instead construct a multiple objective optimal design based on multiple objective functions. While…

Methodology · Statistics 2023-03-09 Lucy L. Gao , Jane J. Ye , Shangzhi Zeng , Julie Zhou

In linear optimization, matrix structure can often be exploited algorithmically. However, beneficial presolving reductions sometimes destroy the special structure of a given problem. In this article, we discuss structure-aware…

Optimization and Control · Mathematics 2019-08-05 Ambros Gleixner , Nils-Christian Kempke , Thorsten Koch , Daniel Rehfeldt , Svenja Uslu

There is a recent proliferation of research on the integration of machine learning and optimization. One expansive area within this research stream is predictive-model embedded optimization, which proposes the use of pre-trained predictive…

Machine Learning · Computer Science 2022-10-20 Chenbo Shi , Mohsen Emadikhiav , Leonardo Lozano , David Bergman

Robust Optimization is becoming increasingly important in machine learning applications. This paper studies the problem of robust submodular minimization subject to combinatorial constraints. Constrained Submodular Minimization arises in…

Machine Learning · Computer Science 2020-01-28 Rishabh Iyer