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We propose integer-programming formulations for an optimal safety-landing site (SLS) location problem that arises in the design of urban air-transportation networks. We first develop a set-cover based approach for the case where the…

Optimization and Control · Mathematics 2025-07-10 Claudia D'Ambrosio , Marcia Fampa , Jon Lee , Felipe Sinnecker

Field-Programmable Gate Arrays (FPGAs) have asserted themselves as vital assets in contemporary computing by offering adaptable, reconfigurable hardware platforms. FPGA-based accelerators incubate opportunities for breakthroughs in areas,…

This paper develops a planner to find an optimal assembly sequence to assemble several objects. The input to the planner is the mesh models of the objects, the relative poses between the objects in the assembly, and the final pose of the…

Robotics · Computer Science 2016-09-13 Weiwei Wan , Kensuke Harada , Kazuyuki Nagata

This paper proposes a general fixture layout design framework that directly integrates the system equation with the convex relaxation method. Note that the optimal fixture design problem is a large-scale combinatorial optimization problem,…

Optimization and Control · Mathematics 2022-06-08 Zhen Zhong , Shancong Mou , Jeffrey H. Hunt , Jianjun Shi

Since the mid-1990s, researchers have been trying to use machine-learning based approaches to solve a number of different compiler optimization problems. These techniques primarily enhance the quality of the obtained results and, more…

Programming Languages · Computer Science 2018-09-05 Amir H. Ashouri , William Killian , John Cavazos , Gianluca Palermo , Cristina Silvano

In Gasket Assembly, a deformable gasket must be aligned and pressed into a narrow channel. This task is common for sealing surfaces in the manufacturing of automobiles, appliances, electronics, and other products. Gasket Assembly is a…

We propose a stronger formulation of the precedence constraints and the station limits for the simple assembly line balancing problem. The linear relaxation of the improved integer program theoretically dominates all previous formulations…

Discrete Mathematics · Computer Science 2015-08-11 Marcus Ritt , Alysson M. Costa

This paper studies a scheduling problem in a parallel machine setting, where each machine must adhere to a predetermined fixed order for processing the jobs. Given $n$ jobs, each with processing times and deadlines, we aim to minimize the…

Data Structures and Algorithms · Computer Science 2025-05-16 Andre Berger , Arman Rouhani , Marc Schröder

We consider a coordinated complexity-aware 4D trajectory planning problem in this paper. A case study of multiple aircraft traversing through a sector that contains a network of airways and waypoints is utilized to illustrate the model and…

Optimization and Control · Mathematics 2016-03-03 Xiongwen Qian , Jianfeng Mao , Xudong Diao , Changpeng Yang

Installation of capacitors in distribution networks is one of the most used procedure to compensate reactive power generated by loads and, consequently, to reduce technical losses. So, the problem consists in identifying the optimal…

Optimization and Control · Mathematics 2017-02-01 André R. Goncalves , Celso Cavelucci , Christiano Lyra Filho , Fernando J. Von Zuben

We present exact mixed-integer linear programming formulations for verifying the performance of first-order methods for parametric quadratic optimization. We formulate the verification problem as a mixed-integer linear program where the…

Optimization and Control · Mathematics 2026-05-29 Vinit Ranjan , Jisun Park , Stefano Gualandi , Andrea Lodi , Bartolomeo Stellato

We consider the airplane refueling problem, where we have a fleet of airplanes that can refuel each other. Each airplane is characterized by specific fuel tank volume and fuel consumption rate, and the goal is to find a drop out order of…

Data Structures and Algorithms · Computer Science 2019-10-09 Jianshu Li , Xiaoyin Hu , Junjie Luo , Jinchuan Cui

Aircraft design optimization traditionally relies on computationally expensive simulation techniques such as Finite Element Method (FEM) and Finite Volume Method (FVM), which, while accurate, can significantly slow down the design iteration…

Machine Learning · Computer Science 2026-03-03 Apurba Sarker

Planes are generally used in 3D reconstruction for depth sensors, such as RGB-D cameras and LiDARs. This paper focuses on the problem of estimating the optimal planes and sensor poses to minimize the point-to-plane distance. The resulting…

Computer Vision and Pattern Recognition · Computer Science 2022-11-22 Lipu Zhou

The task of finding the optimal compression of a polyline with straight-line segments and arcs is performed in many applications, such as polyline compression, noise filtering, and feature recognition. Optimal compression algorithms find…

Computational Geometry · Computer Science 2018-11-15 Alexander Gribov

The detection of insufficiently resolved or ill-conditioned integrand structures is critical for the reliability assessment of the quadrature rule outputs. We discuss a method of analysis of the profile of the integrand at the quadrature…

Numerical Analysis · Mathematics 2025-10-20 Gh. Adam , S. Adam , N. M. Plakida

This paper presents a family of new methods for locating/fitting hyperplanes with respect to a given set of points. We introduce a general framework for a family of aggregation criteria of different distance-based errors. The most popular…

Statistics Theory · Mathematics 2021-01-12 Víctor Blanco , Justo Puerto , Román Salmerón

In this paper, scheduling problems of aircraft minimizing the total delays on a same runway and on dual runways are studied. In contrast to the algorithms based on mixed-integer optimization models in existing works, where the optimality…

Optimization and Control · Mathematics 2026-03-18 Peng Lin , Haopeng Yang

The accurate assembly of the system matrix is an important step in any code that solves partial differential equations on a mesh. We either explicitly set up a matrix, or we work in a matrix-free environment where we have to be able to…

Mathematical Software · Computer Science 2020-06-19 Charles D. Murray , Tobias Weinzierl

Recently, several authors have suggested the use of first order methods, such as fast dual ascent and the alternating direction method of multipliers, for embedded model predictive control. The main reason is that they can be implemented…

Optimization and Control · Mathematics 2014-04-08 Pontus Giselsson