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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.

Kronecker products. --- Markov processes. --- Analysis, Markov --- Chains, Markov --- Markoff processes --- Markov analysis --- Markov chains --- Markov models --- Models, Markov --- Processes, Markov --- Stochastic processes --- Products, Kronecker --- Matrices --- Tensor products --- Distribution (Probability theory. --- Computer science --- Computer system performance. --- Probability Theory and Stochastic Processes. --- Computational Mathematics and Numerical Analysis. --- System Performance and Evaluation. --- Mathematics. --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Distribution functions --- Frequency distribution --- Characteristic functions --- Probabilities --- Mathematics --- Probabilities. --- Computer mathematics. --- Computer system failures. --- Computer failures --- Computer malfunctions --- Computer systems --- Failure of computer systems --- System failures (Engineering) --- Fault-tolerant computing --- Probability --- Statistical inference --- Combinations --- Chance --- Least squares --- Mathematical statistics --- Risk --- Failures

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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.

Operational research. Game theory --- Probability theory --- Mathematics --- Computer architecture. Operating systems --- Computer. Automation --- waarschijnlijkheidstheorie --- stochastische analyse --- informatica --- computerbesturingssystemen --- externe fixatie (geneeskunde --- wiskunde --- kansrekening

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The series of ISCIS (International Symposium on Computer and Information Sciences) symposia have been held each year since 1986, mostly in Turkey and occasionally abroad. It is the main computer science and engineering meeting organized by Turkish academics and was founded by Erol Gelenbe. Each year ISCIS attracts a signi?cant number of international participants from all over the world. The 19th ISCIS was organized by Bilkent University, Department of Computer Engineering, and was held in Kemer-Antalya, Turkey during 27–29 October 2004. For ISCIS 2004, a total of 335 papers went through the review process and a large number of high-quality papers competed for acceptance. This volume of the Springer Lecture Notes in Computer Science (LNCS) series contains 100 of those papers that broadly fall into the following areas of interest: arti?cial int- ligence and machine learning, computer graphics and user interfaces, computer networksand security, computer vision and image processing,databasesystems, modeling and performance evaluation, natural languageprocessing, parallel and distributed computing, real-time control applications, software engineering and programming systems, and theory of computing.

Computer science. --- Computer hardware. --- Computer network architectures. --- Software engineering. --- Information theory. --- Information systems. --- Electronic data processing. --- Computer Science. --- Information Systems and Communication Service. --- Computer Systems Organization and Communication Networks. --- Software Engineering/Programming and Operating Systems. --- Theory of Computation. --- Computing Methodologies. --- Computer Hardware. --- Computers --- Information technology --- Engineering & Applied Sciences --- Computer Science --- Computer organization. --- Computers. --- Artificial intelligence. --- Artificial Intelligence. --- AI (Artificial intelligence) --- Artificial thinking --- Electronic brains --- Intellectronics --- Intelligence, Artificial --- Intelligent machines --- Machine intelligence --- Thinking, Artificial --- Bionics --- Cognitive science --- Digital computer simulation --- Electronic data processing --- Logic machines --- Machine theory --- Self-organizing systems --- Simulation methods --- Fifth generation computers --- Neural computers --- Computer software engineering --- Engineering --- Architectures, Computer network --- Network architectures, Computer --- Computer architecture --- Communication theory --- Communication --- Cybernetics --- Organization, Computer --- Electronic digital computers --- Automatic computers --- Automatic data processors --- Computer hardware --- Computing machines (Computers) --- Electronic calculating-machines --- Electronic computers --- Hardware, Computer --- Computer systems --- Calculators --- Cyberspace