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Estimating probability of failure in aerospace systems is a critical requirement for flight certification and qualification. Failure probability estimation involves resolving tails of probability distribution, and Monte Carlo sampling…

Numerical Analysis · Mathematics 2022-09-22 S. Ashwin Renganathan , Vishwas Rao , Ionel M. Navon

This paper considers structural optimization under a reliability constraint, where the input distribution is only partially known. Specifically, when we only know that the expected value vector and the variance-covariance matrix of the…

Optimization and Control · Mathematics 2022-12-19 Yoshihiro Kanno

We extend Robust Optimization to fractional programming, where both the objective and the constraints contain uncertain parameters. Earlier work did not consider uncertainty in both the objective and the constraints, or did not use Robust…

Optimization and Control · Mathematics 2015-08-21 Bram L. Gorissen

Optimal trajectories that minimize a user-defined cost function in dynamic systems require the solution of a two-point boundary value problem. The optimization process yields an optimal control sequence that depends on the initial…

Systems and Control · Electrical Eng. & Systems 2025-04-10 August Phelps , Juan Augusto Paredes Salazar , Ankit Goel

A radial basis function (RBF) based sequential surrogate reliability method (SSRM) is proposed, in which a special optimization problem is solved to update the surrogate model of the limit state function (LSF) iteratively. The objective of…

Computation · Statistics 2017-06-27 Xu Li , Chunlin Gong , Liangxian Gu , Wenkun Gao , Zhao Jing , Hua Su

This paper presents a new exact method to calculate worst-case parameter realizations in two-stage robust optimization problems with categorical or binary-valued uncertain data. Traditional exact algorithms for these problems, notably…

Optimization and Control · Mathematics 2022-01-19 Anirudh Subramanyam

Optimizing complex manufacturing processes often involves a trade-off between data accuracy and acquisition cost. High-fidelity data are accurate but limited, while low-fidelity data are abundant but often biased. Balancing these two…

In this paper, we consider a static, multi-period newsvendor model under a budget constraint. In the case where the true demand distribution is known, we develop a heuristic algorithm to solve the problem. By comparing this algorithm with…

Optimization and Control · Mathematics 2023-12-04 Ben Black , Trivikram Dokka , Christopher Kirkbride

Hazard radiation can lead the system fault therefore Fault Tolerance is required. Fault Tolerant is a system, which is designed to keep operations running, despite the degradation in the specific module is happening. Many fault tolerances…

Hardware Architecture · Computer Science 2014-03-11 Haryono , Jazi Eko Istiyanto , Agus Harjoko , Agfianto Eko Putra

A group of satellites, with either homogeneous or heterogeneous orbital characteristics and/or hardware specifications, can undertake a reconfiguration process due to variations in operations pertaining to Earth observation missions. This…

Optimization and Control · Mathematics 2024-09-06 Hang Woon Lee , Koki Ho

We consider the problem of distributionally robust multimodal machine learning. Existing approaches often rely on merging modalities on the feature level (early fusion) or heuristic uncertainty modeling, which downplays modality-aware…

Machine Learning · Computer Science 2025-11-11 Peilin Yang , Yu Ma

Redundant architectures can improve the reliability of complex systems. However, component dependencies can affect the architecture and negate the benefit of redundancy. In this paper, we develop three component dependency models and…

Applications · Statistics 2024-02-29 Tim Maurice Julitz , Antoine Tordeux , Nadine Schlüter , Manuel Löwer

This paper focuses on robust stability and $H_\infty$ performance analyses of hybrid continuous/discrete time linear multi-rate control systems in the presence of parametric uncertainties. These affect the continuous-time plant in a…

Systems and Control · Electrical Eng. & Systems 2024-07-08 Jean-Marc Biannic , Clément Roos , Christelle Cumer

This paper provides an in-depth review of the optimal design of type-1 and type-2 fuzzy inference systems (FIS) using five well known computational frameworks: genetic-fuzzy systems (GFS), neuro-fuzzy systems (NFS), hierarchical fuzzy…

Artificial Intelligence · Computer Science 2019-08-28 Varun Ojha , Ajith Abraham , Vaclav Snasel

Explicitly accounting for uncertainties is paramount to the safety of engineering structures. Optimization which is often carried out at the early stage of the structural design offers an ideal framework for this task. When the…

Methodology · Statistics 2022-12-14 M. Moustapha , A. Galimshina , G. Habert , B. Sudret

In this paper, the problem of load uncertainty in compliance problems is addressed where the uncertainty is described in the form of a set of finitely many loading scenarios. Computationally more efficient methods are proposed to exactly…

Computational Engineering, Finance, and Science · Computer Science 2021-09-29 Mohamed Tarek , Tapabrata Ray

In this paper, we propose a variational multiphase image segmentation model based on fuzzy membership functions and L1-norm fidelity. Then we apply the alternating direction method of multipliers to solve an equivalent problem. All the…

Optimization and Control · Mathematics 2016-10-03 Fang Li , Stanley Osher , Jing Qin , Ming Yan

This paper studies a robust utility maximization problem for intractable claims under distributional ambiguity, where the distribution of the claim cannot be inferred from market information and its dependence with tradable assets is…

Optimization and Control · Mathematics 2026-04-17 Guohui Guan , Zongxia Liang , Xingjian Ma

Control systems behavior can be analyzed taking into account a large number of parameters: performances, reliability, availability, security. Each control system presents various security vulnerabilities that affect in lower or higher…

Cryptography and Security · Computer Science 2019-08-30 Emil Pricop , Sanda Florentina Mihalache , Nicolae Paraschiv , Jaouhar Fattahi , Florin Zamfir

Multiple Air Vehicles (AVs) to prosecute geographically dispersed targets is an important optimization problem. Associated multiple tasks viz., target classification, attack and verification are successively performed on each target. The…

Artificial Intelligence · Computer Science 2015-03-17 Arindam Chaudhuri , Dipak Chatterjee , Ritesh Rajput
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