Kronecker Modeling And Analysis Of Multidimensional Markovian Systems
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Kronecker Modeling And Analysis Of Multidimensional Markovian Systems
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Author : Tuğrul Dayar
language : en
Publisher: Springer
Release Date : 2018-09-21
Kronecker Modeling And Analysis Of Multidimensional Markovian Systems written by Tuğrul Dayar and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-21 with Mathematics categories.
This work considers Kronecker-based models with finite as well as countably infinite state spaces for multidimensional Markovian systems by paying particular attention to those whose reachable state spaces are smaller than their product state spaces. Numerical methods for steady-state and transient analysis of Kronecker-based multidimensional Markovian models are discussed in detail together with implementation issues. Case studies are provided to explain concepts and motivate use of methods. Having grown out of research from the past twenty years, this book expands upon the author’s previously published book Analyzing Markov Chains using Kronecker Products (Springer, 2012). The subject matter is interdisciplinary and at the intersection of applied mathematics and computer science. The book will be of use to researchers and graduate students with an understanding of basic linear algebra, probability, and discrete mathematics.
Analyzing Markov Chains Using Kronecker Products
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Author : Tugrul Dayar
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-07-25
Analyzing Markov Chains Using Kronecker Products written by Tugrul Dayar and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-07-25 with Mathematics categories.
Kronecker products are used to define the underlying Markov chain (MC) in various modeling formalisms, including compositional Markovian models, hierarchical Markovian models, and stochastic process algebras. The motivation behind using a Kronecker structured representation rather than a flat one is to alleviate the storage requirements associated with the MC. With this approach, systems that are an order of magnitude larger can be analyzed on the same platform. The developments in the solution of such MCs are reviewed from an algebraic point of view and possible areas for further research are indicated with an emphasis on preprocessing using reordering, grouping, and lumping and numerical analysis using block iterative, preconditioned projection, multilevel, decompositional, and matrix analytic methods. Case studies from closed queueing networks and stochastic chemical kinetics are provided to motivate decompositional and matrix analytic methods, respectively.
Systems Analysis Using Simulation And Markov Models
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Author : John R. Clymer
language : en
Publisher: Prentice Hall
Release Date : 1990-01-01
Systems Analysis Using Simulation And Markov Models written by John R. Clymer and has been published by Prentice Hall this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-01-01 with Markov processes categories.
Information Technologies And Mathematical Modelling Queueing Theory And Applications
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Author : Alexander Dudin
language : en
Publisher: Springer
Release Date : 2015-12-08
Information Technologies And Mathematical Modelling Queueing Theory And Applications written by Alexander Dudin and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-08 with Computers categories.
This book constitutes the refereed proceedings fo the 14th International Scientific Conference on Information Technologies and Mathematical Modeling, named after A. F. Terpugov, ITMM 2015, held in Anzhero-Sudzhensk, Russia, in November 2015. The 35 full papers included in this volume were carefully reviewed and selected from 89 submissions. They are devoted to new results in the queueing theory and its applications, addressing specialists in probability theory, random processes, mathematical modeling as well as engineers dealing with logical and technical design and operational management of telecommunication and computer networks.
Scientific And Technical Aerospace Reports
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Author :
language : en
Publisher:
Release Date : 1979-10
Scientific And Technical Aerospace Reports written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979-10 with Aeronautics categories.
Markov Processes Semigroups And Generators
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Author : Vassili N. Kolokoltsov
language : en
Publisher: Walter de Gruyter
Release Date : 2011
Markov Processes Semigroups And Generators written by Vassili N. Kolokoltsov and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.
This work offers a highly useful, well developed reference on Markov processes, the universal model for random processes and evolutions. The wide range of applications, in exact sciences as well as in other areas like social studies, require a volume that offers a refresher on fundamentals before conveying the Markov processes and examples for
Proceedings Of 20th International Conference On Industrial Engineering And Engineering Management
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Author : Ershi Qi
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-16
Proceedings Of 20th International Conference On Industrial Engineering And Engineering Management written by Ershi Qi and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-16 with Business & Economics categories.
The International Conference on Industrial Engineering and Engineering Management is sponsored by the Chinese Industrial Engineering Institution, CMES, which is the only national-level academic society for Industrial Engineering. The conference is held annually as the major event in this arena. Being the largest and the most authoritative international academic conference held in China, it provides an academic platform for experts and entrepreneurs in the areas of international industrial engineering and management to exchange their research findings. Many experts in various fields from China and around the world gather together at the conference to review, exchange, summarize and promote their achievements in the fields of industrial engineering and engineering management. For example, some experts pay special attention to the current state of the application of related techniques in China as well as their future prospects, such as green product design, quality control and management, supply chain and logistics management to address the need for, amongst other things low-carbon, energy-saving and emission-reduction. They also offer opinions on the outlook for the development of related techniques. The proceedings offers impressive methods and concrete applications for experts from colleges and universities, research institutions and enterprises who are engaged in theoretical research into industrial engineering and engineering management and its applications. As all the papers are of great value from both an academic and a practical point of view, they also provide research data for international scholars who are investigating Chinese style enterprises and engineering management.
Statistical Theory And Method Abstracts
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Author :
language : en
Publisher:
Release Date : 2001
Statistical Theory And Method Abstracts written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Statistics categories.
Current Index To Statistics Applications Methods And Theory
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Author :
language : en
Publisher:
Release Date : 1992
Current Index To Statistics Applications Methods And Theory written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Mathematical statistics categories.
The Current Index to Statistics (CIS) is a bibliographic index of publications in statistics, probability, and related fields.
Sensitivity Analysis Matrix Methods In Demography And Ecology
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Author : Hal Caswell
language : en
Publisher: Springer
Release Date : 2019-04-02
Sensitivity Analysis Matrix Methods In Demography And Ecology written by Hal Caswell and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-04-02 with Social Science categories.
This open access book shows how to use sensitivity analysis in demography. It presents new methods for individuals, cohorts, and populations, with applications to humans, other animals, and plants. The analyses are based on matrix formulations of age-classified, stage-classified, and multistate population models. Methods are presented for linear and nonlinear, deterministic and stochastic, and time-invariant and time-varying cases. Readers will discover results on the sensitivity of statistics of longevity, life disparity, occupancy times, the net reproductive rate, and statistics of Markov chain models in demography. They will also see applications of sensitivity analysis to population growth rates, stable population structures, reproductive value, equilibria under immigration and nonlinearity, and population cycles. Individual stochasticity is a theme throughout, with a focus that goes beyond expected values to include variances in demographic outcomes. The calculations are easily and accurately implemented in matrix-oriented programming languages such as Matlab or R. Sensitivity analysis will help readers create models to predict the effect of future changes, to evaluate policy effects, and to identify possible evolutionary responses to the environment. Complete with many examples of the application, the book will be of interest to researchers and graduate students in human demography and population biology. The material will also appeal to those in mathematical biology and applied mathematics.