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As engineered systems expand, become more interdependent, and operate in real-time, reliability assessment is indispensable to support investment and decision making. However, network reliability problems are known to be #P-complete, a…

Data Structures and Algorithms · Computer Science 2019-05-03 R. Paredes , L. Duenas-Osorio , K. S. Meel , M. Y. Vardi

We consider a network design problem called the generalized terminal backup problem. Whereas earlier work investigated the edge-connectivity constraints only, we consider both edge- and node-connectivity constraints for this problem. A…

Data Structures and Algorithms · Computer Science 2015-01-20 Takuro Fukunaga

In recent years, semidefinite relaxations of common optimization problems in robotics have attracted growing attention due to their ability to provide globally optimal solutions. In many cases, it was shown that specific handcrafted…

Robotics · Computer Science 2024-10-03 Frederike Dümbgen , Connor Holmes , Ben Agro , Timothy D. Barfoot

This paper contains introductory material on Petri nets and Groebner basis theory and makes some observations on the relation between the two areas. The aim of the paper is to show how Groebner basis procedures can be applied to the problem…

Combinatorics · Mathematics 2007-05-23 Angie Chandler , Anne Heyworth

Petri nets, also known as vector addition systems, are a long established model of concurrency with extensive applications in modelling and analysis of hardware, software and database systems, as well as chemical, biological and business…

Formal Languages and Automata Theory · Computer Science 2019-04-12 Wojciech Czerwinski , Slawomir Lasota , Ranko Lazic , Jerome Leroux , Filip Mazowiecki

The role of scalable high-performance workflows and flexible workflow management systems that can support multiple simulations will continue to increase in importance. For example, with the end of Dennard scaling, there is a need to…

Software Engineering · Computer Science 2017-10-19 Jay Jay Billings , Shantenu Jha

We propose a new method for generating semidefinite relaxations of optimal power flow problems. The method is based on chordal conversion techniques: by dropping some equality constraints in the conversion, we obtain semidefinite…

Optimization and Control · Mathematics 2013-12-09 Martin S. Andersen , Anders Hansson , Lieven Vandenberghe

System reliability analysis aims at computing the probability of failure of an engineering system given a set of uncertain inputs and limit state functions. Active-learning solution schemes have been shown to be a viable tool but as of yet…

Methodology · Statistics 2024-05-10 Maliki Moustapha , Pietro Parisi , Stefano Marelli , Bruno Sudret

This paper studies an optimization problem on the sum of traces of matrix quadratic forms on $m$ orthogonal matrices, which can be considered as a generalization of the synchronization of rotations. While the problem is nonconvex, the paper…

Optimization and Control · Mathematics 2019-11-21 Teng Zhang

Petri Nets (PN) are a central, theoretically sound model for concurrent or distributed systems but, at least in their classical definition, not expressive enough to represent dynamic reconfiguration capabilities. On the other side,…

Logic in Computer Science · Computer Science 2021-11-17 Lorenzo Capra

Most existing process discovery techniques aim to mine models of process orchestrations that represent behavior of cases within one business process. Collaboration process discovery techniques mine models of collaboration processes that…

Formal Languages and Automata Theory · Computer Science 2024-10-11 Janik-Vasily Benzin , Stefanie Rinderle-Ma

The vulnerability of artificial intelligence (AI) and machine learning (ML) against adversarial disturbances and attacks significantly restricts their applicability in safety-critical systems including cyber-physical systems (CPS) equipped…

Systems and Control · Electrical Eng. & Systems 2020-04-28 Weiming Xiang , Hoang-Dung Tran , Xiaodong Yang , Taylor T. Johnson

In process management, effective behavior modeling is essential for understanding execution dynamics and identifying potential issues. Two complementary paradigms have emerged in the pursuit of this objective: the imperative approach,…

Logic in Computer Science · Computer Science 2026-02-19 Luca Barbaro , Giovanni Varricchione , Marco Montali , Claudio Di Ciccio

A crucial question in analyzing a concurrent system is to determine its long-run behaviour, and in particular, whether there are irreversible choices in its evolution, leading into parts of the reachability space from which there is no…

Formal Languages and Automata Theory · Computer Science 2022-09-22 Giann Karlo Aguirre-Samboní , Stefan Haar , Loïc Paulevé , Stefan Schwoon , Nick Würdemann

Detectability describes the property of a system to uniquely determine, after a finite number of observations, the current and subsequent states. In this paper, to reduce the complexity of checking the detectability properties in the…

Systems and Control · Electrical Eng. & Systems 2019-08-27 Hao Lan , Yin Tong , Jin Guo , Carla Seatzu

Generalized planning studies the computation of general solutions for a set of planning problems. Computing general solutions with correctness guarantee has long been a key issue in generalized planning. Abstractions are widely used to…

Artificial Intelligence · Computer Science 2022-05-25 Zhenhe Cui , Weidu Kuang , Yongmei Liu

In Petri net synthesis we ask whether a given transition system $A$ can be implemented by a Petri net $N$. Depending on the level of accuracy, there are three ways how $N$ can implement $A$: an embedding, the least accurate implementation,…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Raymond Devillers , Ronny Tredup

There has been a considerable amount of interest in recent years in the problem of workflow satisfiability, which asks whether the existence of constraints in a workflow specification makes it impossible to allocate authorized users to each…

Data Structures and Algorithms · Computer Science 2019-04-17 Jason Crampton , Gregory Gutin , Diptapriyo Majumdar

In the past two decades or so, we have learned how to understand crackling noise in a wide variety of systems. We review here the basic ideas and methods we use to understand crackling noise - critical phenomena, universality, the…

Disordered Systems and Neural Networks · Physics 2007-05-23 James P. Sethna

In the static analysis of functional programs, pushdown flow analysis and abstract garbage collection skirt just inside the boundaries of soundness and decidability. Alone, each method reduces analysis times and boosts precision by orders…

Programming Languages · Computer Science 2012-07-10 Christopher Earl , Ilya Sergey , Matthew Might , David Van Horn
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