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We consider a scenario where a system experiences a disruption, and the states (representing health values) of its components continue to reduce over time, unless they are acted upon by a controller. Given this dynamical setting, we…

Systems and Control · Computer Science 2020-04-09 Hemant Gehlot , Shreyas Sundaram , Satish V. Ukkusuri

We consider a scenario where multiple infrastructure components have been damaged after a disaster and the health value of each component continues to deteriorate if it is not being targeted by a repair agency, until it fails irreversibly.…

Systems and Control · Electrical Eng. & Systems 2020-09-30 Hemant Gehlot , Shreyas Sundaram , Satish V. Ukkusuri

In this work, we consider the dynamics of repairable systems characterized by three distinct states: one signifying normal operational states, another representing degraded conditions and a third denoting failed conditions. These systems…

Optimization and Control · Mathematics 2024-07-09 Daniel Owusu Adu , Weiwei Hu

In a dependent multi-component system, increasing the deterioration of a part leads to the increased deterioration rate of other parts as well. In these systems, a deterioration limit is usually pre-determined for each part and the…

Systems and Control · Electrical Eng. & Systems 2019-07-25 Hamed Badakhsh , Mohammad Pirhooshyaran , Abdolhamid Eshragh-Jahromi

When using graphs and graph transformations to model systems, consistency is an important concern. While consistency has primarily been viewed as a binary property, i.e., a graph is consistent or inconsistent with respect to a set of…

Software Engineering · Computer Science 2026-03-11 Lars Fritsche , Alexander Lauer , Maximilian Kratz , Andy Schürr , Gabriele Taentzer

In this paper, a repairable multi-component system is studied where all the components can be repaired individually within the system. The whole system is inspected at inspection intervals and the failed components are detected and replaced…

Signal Processing · Electrical Eng. & Systems 2020-02-04 Nooshin Yousefi , David W. Coit , Zhu Xiaoyan

We present a tree structure algorithm for optimal control problems with state constraints. We prove a convergence result for a discrete time approximation of the value function based on a novel formulation of the constrained problem. Then…

Numerical Analysis · Mathematics 2020-09-29 Alessandro Alla , Maurizio Falcone , Luca Saluzzi

Aging interventions frequently improve function and healthspan without arresting long-term deterioration, indicating that existing frameworks do not fully specify the control conditions required for bounded organismal aging. A compact…

Other Quantitative Biology · Quantitative Biology 2026-03-10 Tristan Barkman

This manuscript studies the preventive replacement policy for a series or parallel system consisting of n independent or dependent heterogeneous components. Firstly, for the age replacement policy, Some sufficient conditions for the…

Statistics Theory · Mathematics 2024-07-26 Jiale Niu , Rongfang Yan

The repair problem for functional dependencies is the problem where an input database needs to be modified such that all functional dependencies are satisfied and the difference with the original database is minimal. The output database is…

Databases · Computer Science 2024-04-18 Toon Boeckling , Antoon Bronselaer

The paper deals with the problem of optimization of a guaranteed (worst case) result for a control system described by an ordinary differential equation. The disturbances as functions of time are subject to functional constraints belonging…

Optimization and Control · Mathematics 2014-08-28 Dmitrii A. Serkov

Recent network research has focused on the cascading failures in a system of interdependent networks and the necessary preconditions for system collapse. An important question that has not been addressed is how to repair a failing system…

Physics and Society · Physics 2016-01-27 M. A. Di Muro , C. E. La Rocca , H. E. Stanley , S. Havlin , L. A. Braunstein

Engineered and infrastructure systems deteriorate (e.g., loss capacity) as a result of adverse environmental or external conditions. Modeling deterioration is essential to define optimum design strategies and inspection and maintenance…

Optimization and Control · Mathematics 2014-09-19 Mauricio Junca , Mauricio Sanchez-Silva

Consider the execution of a sequential algorithm that requires the program to converge to an optimal state, and then terminate/stutter. To design such an algorithm, we need to ensure that the state space that it traverses forms a directed…

Data Structures and Algorithms · Computer Science 2024-04-11 Arya Tanmay Gupta , Sandeep S Kulkarni

We study the problem of policy repair for learning-based control policies in safety-critical settings. We consider an architecture where a high-performance learning-based control policy (e.g. one trained as a neural network) is paired with…

Artificial Intelligence · Computer Science 2020-08-19 Weichao Zhou , Ruihan Gao , BaekGyu Kim , Eunsuk Kang , Wenchao Li

Recently directed acyclic graph (DAG) structure learning is formulated as a constrained continuous optimization problem with continuous acyclicity constraints and was solved iteratively through subproblem optimization. To further improve…

Machine Learning · Computer Science 2021-06-15 Yue Yu , Tian Gao , Naiyu Yin , Qiang Ji

Implementing an appropriate maintenance policy would help us to have a more reliable system and reduce the total costs. In this paper, a dynamic maintenance plan is proposed for repairable multi-component systems, where each component is…

Systems and Control · Electrical Eng. & Systems 2020-01-27 Nooshin Yousefi , Stamatis Tsianikas , Jian Zhou , David W. Coit

In this note, we consider an optimal control problem associated to a differential equation driven by a H\"{o}lder continuous function g of index greater than 1/2. We split our study in two cases. If the coefficient of dg\_t does not depend…

Probability · Mathematics 2007-05-23 Laurent Mazliak , Ivan Nourdin

Natural disasters, such as hurricanes, earthquakes and large wind or ice storms, typically require the repair of a large number of components in electricity distribution networks. Since power cannot be restored before these repairs have…

Optimization and Control · Mathematics 2018-03-09 Yushi Tan , Feng Qiu , Arindam K. Das , Daniel S. Kirschen , Payman Arabshahi , Jianhui Wang

The goal of diagnosis is to compute good repair strategies in response to anomalous system behavior. In a decision theoretic framework, a good repair strategy has low expected cost. In a general formulation of the problem, the computation…

Artificial Intelligence · Computer Science 2013-02-21 Sampath Srinivas
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