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2014, SpringerBriefs in Electrical and Computer Engineering, ISBN 3319064401
Ternary means 'based on three'. This book deals with reliability investigations of networks whose components subject to failures can be in three states -up,... 
Engineering | Operating systems (Computers) | System safety | Computer network architectures | Telecommunication
Web Resource
2014, Wiley series in probability and statistics, ISBN 9781118612262
Web Resource
Networks, ISSN 0028-3045, 04/2018, Volume 71, Issue 3, pp. 281 - 301
Journal Article
2013, Wiley series in probability and statistics, ISBN 9781118612262, 208
A comprehensive account of the theory and application of Monte Carlo methods Based on years of research in efficient Monte Carlo methods for estimation of... 
Mathematics / Probability & Statistics / General | COMPUTERS / Computer Simulation | Monte Carlo method | Mathematical optimization | Math
eBook
Methodology and Computing in Applied Probability, ISSN 1387-5841, 3/2017, Volume 19, Issue 1, pp. 31 - 73
Journal Article
Applied Stochastic Models in Business and Industry, ISSN 1524-1904, 01/2017, Volume 33, Issue 1, pp. 54 - 62
Journal Article
Applied Stochastic Models in Business and Industry, ISSN 1524-1904, 01/2017, Volume 33, Issue 1, pp. 54 - 62
A new approach to optimal maintenance of systems (networks) is suggested. It is applied to systems subject to two external independent shock processes. A... 
shock process | signature | preventive maintenance | network | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | STATISTICS & PROBABILITY | Bivariate analysis | Preventive maintenance | Optimization | Maintenance | Signatures | Complex systems | Survival | Counting | Business
Journal Article
Probability in the Engineering and Informational Sciences, ISSN 0269-9648, 10/2015, Volume 30, Issue 1, pp. 25 - 39
  We consider a monotone binary system with ternary components. "Ternary" means that each component can be in one of three states: up, middle (mid) and down.... 
Reliability | Spectrum analysis | Binary system | Monte Carlo simulation | System failures | Networks | Monte Carlo methods | Binary systems | Binary systems (materials) | Signatures | Invariants | Failure
Journal Article
Communications in Statistics - Simulation and Computation, ISSN 0361-0918, 11/2015, Volume 44, Issue 10, pp. 2696 - 2704
We study the numerical stability problem that may take place when calculating the cumulative distribution function (CDF) of the Hypoexponential random... 
Hypoexponential distribution | Network reliability | Rare events | 65C05 | Monte Carlo | 60-XX | STATISTICS & PROBABILITY | Probability | Monte Carlo simulation | Random variables | Monte Carlo methods | Algorithms | Computer simulation | Computation | Mathematical analysis | Estimating | Mathematical models | Failure
Journal Article
Philosophical Magazine, ISSN 1478-6435, 07/2017, Volume 97, Issue 19, pp. 1646 - 1673
Calculating the partition function of the zero-temperature antiferromagnetic model is an important problem in statistical physics. However, an exact... 
Partition function | rare events | graph colouring | Multilevel Splitting | PHYSICS, CONDENSED MATTER | PHYSICS, APPLIED | SMALL-WORLD | MATERIALS SCIENCE, MULTIDISCIPLINARY | METALLURGY & METALLURGICAL ENGINEERING | COMPLEXITY | SYSTEMS
Journal Article
Communications in Statistics - Simulation and Computation, ISSN 0361-0918, 07/2012, Volume 41, Issue 6, pp. 905 - 921
We show how a simple modification of the splitting method based on Gibbs sampler can be efficiently used for decision making in the sense that one can... 
Gibbs sampler | Splitting | Decision making | Cross-entropy | Combinatorial optimization | Counting | Rare-event | 68W20 | 60C05 | STATISTICS & PROBABILITY | 90C59 | 65C05 | Studies | Integer programming | Algorithms
Journal Article
Structural Safety, ISSN 0167-4730, 11/2016, Volume 63, pp. 1 - 10
Assessing the reliability of complex technological systems such as communication networks, transportation grids, and bridge networks is a difficult task. From... 
Multilevel splitting | Rare events | Permutation Monte Carlo | Terminal network reliability | SYSTEM | GRAPH | MATRIX | ENGINEERING, CIVIL | TRANSPORTATION | COMPLEXITY | RELIABILITY | SIMULATION | Algorithms
Journal Article
Probability in the Engineering and Informational Sciences, ISSN 0269-9648, 2014, Volume 28, Issue 1, pp. 21 - 38
In this paper we show how the permutation Monte Carlo method, originally developed for reliability networks, can be successfully adapted for stochastic flow... 
STATISTICS & PROBABILITY | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | RELIABILITY | ENGINEERING, INDUSTRIAL | Probability | Reliability engineering | Numerical analysis | Stochastic models | Monte Carlo simulation | Networks | Permutations | Monte Carlo methods | Mathematical models | Stochasticity | Estimators | Failure | Convergence
Journal Article
INFORMS Journal on Computing, ISSN 1091-9856, 5/2015, Volume 27, Issue 2, pp. 406 - 415
Model counting is the #P problem of counting the number of satisfying solutions of a given propositional formula. Here we focus on a restricted variant of this... 
counting | random graphs | Monte Carlo | simulation | monotone CNF | Monotone CNF | Simulation | Random graphs | Counting | NETWORK | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | ALGORITHM | RELIABILITY | Trucking | Analysis | Book publishing
Journal Article
Statistics and Computing, ISSN 0960-3174, 2016, Volume 26, Issue 3, pp. 591 - 607
Journal Article
Stochastic Models, ISSN 1532-6349, 10/2011, Volume 27, Issue 4, pp. 629 - 650
We present an enhanced version of the splitting method, called the smoothed splitting method (SSM), for counting associated with complex sets, such as the set... 
Splitting | Combinatorial optimization | Rare event | Counting | Primary 65C05, 65C35 | Secondary 68W20, 60C05 | STATISTICS & PROBABILITY | RARE EVENT ANALYSIS | Studies | Algorithms | Stochastic models | Numerical Analysis | Mathematics
Journal Article
Stochastic Models, ISSN 1532-6349, 07/2012, Volume 28, Issue 3, pp. 478 - 502
We apply the splitting method to three well-known counting problems, namely 3-SAT, random graphs with prescribed degrees, and binary contingency tables. We... 
Gibbs Sampler | Splitting | Counting | Capture-Recapture | Primary 65C05, 65C35 | Secondary 68W20, 60C05 | STATISTICS & PROBABILITY | MODEL | RARE EVENT ANALYSIS | Studies | Methods | Stochastic models
Journal Article
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