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Distributed control algorithms are known to reduce overall computation time compared to centralized control algorithms. However, they can result in inconsistent solutions leading to the violation of safety-critical constraints. Inconsistent…

Systems and Control · Electrical Eng. & Systems 2024-11-26 Julius Beerwerth , Maximilian Kloock , Bassam Alrifaee

We consider the problem of scheduling multiprocessor jobs to minimize the total completion time under the given energy budget. Each multiprocessor job requires more than one processor at the same moment of time. Processors may operate at…

Optimization and Control · Mathematics 2021-07-22 Alexander Kononov , Yulia Kovalenko

We propose polynomial-time algorithms to minimise labelled Markov chains whose transition probabilities are not known exactly, have been perturbed, or can only be obtained by sampling. Our algorithms are based on a new notion of an…

Formal Languages and Automata Theory · Computer Science 2021-10-04 Stefan Kiefer , Qiyi Tang

We show that the pseudoflow algorithm for maximum flow is particularly efficient for the bipartite matching problem both in theory and in practice. We develop several implementations of the pseudoflow algorithm for bipartite matching, and…

Data Structures and Algorithms · Computer Science 2011-05-10 Bala G. Chandran , Dorit S. Hochbaum

The well known Hopcroft's algorithm to minimize deterministic complete automata runs in $O(kn\log n)$-time, where $k$ is the size of the alphabet and $n$ the number of states. The main part of this algorithm corresponds to the computation…

Formal Languages and Automata Theory · Computer Science 2013-02-15 Gérard Cece

A version of the time-parallel algorithm parareal is analyzed and applied to stochastic models in chemical kinetics. A fast predictor at the macroscopic scale (evaluated in serial) is available in the form of the usual reaction rate…

Numerical Analysis · Mathematics 2009-09-16 Stefan Engblom

We present an approach for proving the correctness of distributed algorithms that obviate interleaving of processes' actions. The main part of the correctness proof is conducted at a higher abstract level and uses Tarskian system executions…

Logic in Computer Science · Computer Science 2018-09-25 Uri Abraham

Saraswat's concurrent constraint programming (ccp) is a mature formalism for modeling processes (or programs) that interact by telling and asking constraints in a global medium, called the store. Bisimilarity is a standard behavioural…

Logic in Computer Science · Computer Science 2012-12-10 Andrés Aristizábal , Filippo Bonchi , Luis Pino , Frank D. Valencia

Proportional apportionment is the problem of assigning seats to parties according to their relative share of votes. Divisor methods are the de-facto standard solution, used in many countries. In recent literature, there are two algorithms…

Data Structures and Algorithms · Computer Science 2017-12-06 Raphael Reitzig , Sebastian Wild

Recent advances in probabilistic modelling have led to a large number of simulation-based inference algorithms which do not require numerical evaluation of likelihoods. However, a public benchmark with appropriate performance metrics for…

Machine Learning · Statistics 2021-04-12 Jan-Matthis Lueckmann , Jan Boelts , David S. Greenberg , Pedro J. Gonçalves , Jakob H. Macke

Partial orders are used extensively for modeling and analyzing concurrent computations. In this paper, we define two properties of partially ordered sets: width-extensibility and interleaving-consistency, and show that a partial order can…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-10-07 Himanshu Chauhan , Vijay K. Garg

Bigraph reactive systems offer a powerful and flexible mathematical framework for modelling both spatial and non-spatial relationships between agents, with practical applications in domains such as smart technologies, networks, sensor…

Logic in Computer Science · Computer Science 2026-01-08 Kyle Burns , Michele Sevegnani , Ciaran McCreesh , James Trimble

The maximum bipartite matching problem is among the most fundamental and well-studied problems in combinatorial optimization. A beautiful and celebrated combinatorial algorithm of Hopcroft and Karp (1973) shows that maximum bipartite…

Data Structures and Algorithms · Computer Science 2023-12-21 Julia Chuzhoy , Sanjeev Khanna

Simulations of stochastic processes play an important role in the quantitative sciences, enabling the characterisation of complex systems. Recent work has established a quantum advantage in stochastic simulation, leading to quantum devices…

Quantum Physics · Physics 2019-05-20 Farzad Ghafari , Nora Tischler , Carlo Di Franco , Jayne Thompson , Mile Gu , Geoff J. Pryde

We propose a computationally efficient method to solve the dynamics of operators of bosonic quantum systems coupled to their environments. The method maps the operator under interest to a set of complex-valued functions, and its adjoint…

In this article, Conway's Game of Life using OpenMP parallel processing to simulate several different parallel methods, experimental performance results and compare to find the optimal solution of the parallelization of the Game of Life.…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-09-21 Longfei Ma , Xue Chen , Zhouxiang Meng

We consider convex stochastic optimization problems under different assumptions on the properties of available stochastic subgradient. It is known that, if the value of the objective function is available, one can obtain, in parallel,…

Optimization and Control · Mathematics 2017-01-19 Pavel Dvurechensky , Alexander Gasnikov , Anastasia Lagunovskaya

Full formal descriptions of algorithms making use of quantum principles must take into account both quantum and classical computing components and assemble them so that they communicate and cooperate.Moreover, to model concurrent and…

Quantum Physics · Physics 2007-05-23 Marie Lalire

Several application domains require formal but flexible approaches to the comparison problem. Different process models that cannot be related by behavioral equivalences should be compared via a quantitative notion of similarity, which is…

Logic in Computer Science · Computer Science 2010-06-29 Alessandro Aldini

State discrimination is a useful test problem with which to clarify the power and limitations of different classes of measurement. We consider the problem of discriminating between given states of a bi-partite quantum system via sequential…

Quantum Physics · Physics 2017-09-25 Sarah Croke , Stephen M. Barnett , Graeme Weir