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This research article explores the optimization of aluminium extrusion processes through advanced line balancing techniques, focusing on maximizing marginal profit by increasing melting and casting outputs. By employing mixed integer linear…

Optimization and Control · Mathematics 2025-04-10 Ray Wai Man Kong , Ding Ning , Theodore Ho Tin Kong

Cutting planes (cuts) are crucial for solving Mixed Integer Linear Programming (MILP) problems. Advanced MILP solvers typically rely on manually designed heuristic algorithms for cut selection, which require much expert experience and…

Optimization and Control · Mathematics 2024-12-11 Xuefeng Zhang , Liangyu Chen , Zhengfeng Yang , Zhenbing Zeng

We consider the uniform parallel machines scheduling problem in the context of optimistic bilevel optimization, where two speed options are considered. In this scenario, the leader aims to minimize the weighted number of tardy jobs, while…

Optimization and Control · Mathematics 2026-03-06 Quentin Schau , Olivier Ploton , Vincent T'kindt , Han Hoogeveen , Federico Della Croce , Jippe Hoogeveen

In connection with the needs of solving optimization problems, the development of conditional minimization methods with convenient numerical implementation continues to attract the attention of mathematicians. In this monograph we propose…

Optimization and Control · Mathematics 2023-11-22 Igor Zabotin , Rashid Yarullin

We present an exact method, based on an arc-flow formulation with side constraints, for solving bin packing and cutting stock problems --- including multi-constraint variants --- by simply representing all the patterns in a very compact…

Optimization and Control · Mathematics 2014-03-04 Filipe Brandão , João Pedro Pedroso

Imbibition is a commonly encountered multiphase problem in various fields, and exact prediction of imbibition processes is a key issue for better understanding capillary flow in heterogeneous porous media. In this work, a numerical…

Soft Condensed Matter · Physics 2018-05-22 Si Suo , Mingchao Liu , Yixiang Gan

The literature on master production scheduling for product mix problems under the Theory of Constraints (TOC) was considered by many previous studies. Most studies assume a static resources availability. In this study, the raw materials…

Computational Engineering, Finance, and Science · Computer Science 2024-02-20 Ayman R. Mohammed , Ahmad Abu Sleem , Mohammad A. M. Abdel-Aal

We develop a cut finite element method for a second order elliptic coupled bulk-surface model problem. We prove a priori estimates for the energy and $L^2$ norms of the error. Using stabilization terms we show that the resulting algebraic…

Numerical Analysis · Mathematics 2014-03-27 Erik Burman , Peter Hansbo , Mats G. Larson , Sara Zahedi

In recent years, there has been considerable interest in the transformative potential of additive manufacturing (AM) since it allows for producing highly customizable and complex components while reducing lead times and costs. The rise of…

Discrete Mathematics · Computer Science 2023-08-21 Benedikt Zipfel , Felix Tamke , Leopold Kuttner

While developing an information system for the University of Bern, we were faced with two major issues: managing software changes and adapting Business Information Models. Software techniques well-suited to software development teams exist,…

Software Engineering · Computer Science 2008-04-03 Patrick Chénais

Freighter airlines need to recover both aircraft and cargo schedules when disruptions happen. This process is usually divided into three sequential decisions to recovery flights, aircraft, and cargoes. This study focuses on the integrated…

Optimization and Control · Mathematics 2022-09-29 Lei Huang , Fan Xiao , Zhe Liang

In this contribution we present a new computational method for coupled bulk-surface problems on time-dependent domains. The method is based on a space-time formulation using discontinuous piecewise linear elements in time and continuous…

Numerical Analysis · Mathematics 2016-05-25 Peter Hansbo , Mats G. Larson , Sara Zahedi

This paper addresses a mixed integer programming (MIP) formulation for the multi-item uncapacitated lot-sizing problem that is inspired from the trailer manufacturer. The proposed MIP model has been utilized to find out the optimum order…

Optimization and Control · Mathematics 2012-06-01 Maryam Mohammadi , Masine Md. Tap

Strategic bidding problems in electricity markets are widely studied in power systems, often by formulating complex bi-level optimization problems that are hard to solve. The state-of-the-art approach to solve such problems is to…

Optimization and Control · Mathematics 2016-06-21 Mahdi Ghamkhari , Ashkan Sadeghi-Mobarakeh , Hamed Mohsenian-Rad

Biclustering, also known as co-clustering or two-way clustering, simultaneously partitions the rows and columns of a data matrix to reveal submatrices with coherent patterns. Incorporating background knowledge into clustering to enhance…

Optimization and Control · Mathematics 2026-02-24 Antonio M. Sudoso

We propose a multi-criteria Composite Index Method (CIM) to compare the performance of alternative approaches to solving an optimization problem. The CIM is convenient in those situations when neither approach dominates the other when…

Optimization and Control · Mathematics 2022-12-29 Yulan Bai , Eli Olinick

Crumpling and folding of paper are at rst sight very di erent ways of con ning thin sheets in a small volume: the former one is random and stochastic whereas the latest one is regular and deterministic. Nevertheless, certain similarities…

Soft Condensed Matter · Physics 2015-06-05 Stephanie Deboeuf , Eytan Katzav , Arezki Boudaoud , Daniel Bonn , Mokhtar Adda-Bedia

The matrix completion problem has been studied broadly under many underlying conditions. The problem has been explored under adaptive or non-adaptive, exact or estimation, single-phase or multi-phase, and many other categories. In most of…

Machine Learning · Computer Science 2022-05-10 Ilqar Ramazanli

We propose a novel method to fit and segment multi-structural data via convex relaxation. Unlike greedy methods --which maximise the number of inliers-- this approach efficiently searches for a soft assignment of points to models by…

Computer Vision and Pattern Recognition · Computer Science 2017-06-07 Paul Amayo , Pedro Pinies , Lina M. Paz , Paul Newman

This paper studies the application of the blended dynamics approach towards distributed optimization problem where the global cost function is given by a sum of local cost functions. The benefits include (i) individual cost function need…

Optimization and Control · Mathematics 2021-02-26 Seungjoon Lee , Hyungbo Shim
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