Download or read book Markov Modulated Processes and Semiregenerative Phenomena written by Loon Ching Tang and published by World Scientific. This book was released on 2009 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents a coherent treatment of Markov random walks and Markov additive processes together with their applications. Part I provides the foundations of these stochastic processes underpinned by a solid theoretical framework based on Semiregenerative phenomena. Part II presents some applications to queueing and storage systems.
Download or read book Markov modulated Processes and Semiregenerative Phenomena written by and published by . This book was released on 2008 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Continuos time Markov modulated Chains In Operations Research written by Alexander M Andronov and published by World Scientific. This book was released on 2024-04-22 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: Probabilistic models are widely used for description and an analysis of various processes in system reliability, risk, queuing, data communication, logistic and storage systems. The book contains various applications of the theory of continuous-time Markov-modulated processes in operation research. All analytical results are illustrated by numerical computations. Used algorithms allow overcoming computation difficulties successfully. For example, a calculation of transient probabilities of states for a continuous-time finite Markov chain uses eigenvalues and eigenvectors of the corresponding matrix (generator). In a more complex case of differential or integral equations, such a simple explicit form of a solution is missing. The explicit form of solution is presented by means of infinity sums of functions. For example, often we have to deal with the so-called renewal equation. Its solution is presented as an infinite sum of the renewal function. In this case, an approximation of functions of interest and iterative computation procedures are used.
Download or read book Reliability and Statistics in Transportation and Communication written by Igor Kabashkin and published by Springer Nature. This book was released on 2020-03-28 with total page 717 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reports on cutting-edge theories and methods for analyzing complex systems, such as transportation and communication networks and discusses multi-disciplinary approaches to dependability problems encountered when dealing with complex systems in practice. The book presents the most noteworthy methods and results discussed at the International Conference on Reliability and Statistics in Transportation and Communication (RelStat), which took place in Riga, Latvia on October 16 – 19, 2019. It spans a broad spectrum of topics, from mathematical models and design methodologies, to software engineering, data security and financial issues, as well as practical problems in technical systems, such as transportation and telecommunications, and in engineering education.
Download or read book Regenerative Phenomena written by John Frank Charles Kingman and published by John Wiley & Sons. This book was released on 1972 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: February 2000
Download or read book Multivariate Statistics written by Tonu Kollo and published by World Scientific. This book was released on 2013 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book aims to present a wide range of the newest results on multivariate statistical models, distribution theory and applications of multivariate statistical methods. A paper on Pearson-Kotz-Dirichlet distributions by Professor N Balakrishnan contains main results of the Samuel Kotz Memorial Lecture. Extensions of linear models to multivariate exponential dispersion models and Growth Curve models are presented, and several papers on classification methods are included. Applications range from insurance mathematics to medical and industrial statistics and sampling algorithms.
Download or read book Multivariate Statistics Theory And Applications Proceedings Of The Ix Tartu Conference On Multivariate Statistics And Xx International Workshop On Matrices And Statistics written by Tonu Kollo and published by World Scientific. This book was released on 2013-03-25 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book aims to present a wide range of the newest results on multivariate statistical models, distribution theory and applications of multivariate statistical methods. A paper on Pearson-Kotz-Dirichlet distributions by Professor N Balakrishnan contains main results of the Samuel Kotz Memorial Lecture. Extensions of linear models to multivariate exponential dispersion models and Growth Curve models are presented, and several papers on classification methods are included. Applications range from insurance mathematics to medical and industrial statistics and sampling algorithms.
Download or read book Distributed Computer and Communication Networks written by Vladimir M. Vishnevskiy and published by Springer Nature. This book was released on 2019-12-17 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 22nd International Conference on Distributed and Computer and Communication Networks, DCCN 2019, held in Moscow, Russia, in September 2019. The 44 full papers and 2 short papers were carefully reviewed and selected from 174 submissions. The papers cover the following topics: Computer and Communication Networks, Analytical Modeling of Distributed Systems, and Distributed Systems Applications.
Download or read book Topics in Statistical Simulation written by V.B. Melas and published by Springer. This book was released on 2014-12-05 with total page 531 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Department of Statistical Sciences of the University of Bologna in collaboration with the Department of Management and Engineering of the University of Padova, the Department of Statistical Modelling of Saint Petersburg State University, and INFORMS Simulation Society sponsored the Seventh Workshop on Simulation. This international conference was devoted to statistical techniques in stochastic simulation, data collection, analysis of scientific experiments, and studies representing broad areas of interest. The previous workshops took place in St. Petersburg, Russia in 1994, 1996, 1998, 2001, 2005, and 2009. The Seventh Workshop took place in the Rimini Campus of the University of Bologna, which is in Rimini’s historical center.
Download or read book A Theory of Semiregenerative Phenomena written by Narahari Umanath Prabhu and published by . This book was released on 1987 with total page 62 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Perturbed Semi Markov Type Processes II written by Dmitrii Silvestrov and published by Springer Nature. This book was released on 2022-03-21 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the second volume of a two-volume monograph devoted to the study of limit and ergodic theorems for regularly and singularly perturbed Markov chains, semi-Markov processes, and multi-alternating regenerative processes with semi-Markov modulation. The second volume presents a complete classification of ergodic theorems for alternating regenerative processes, including more than twenty-five such theorems. The text addresses new asymptotic recurrent algorithms of phase space reduction for multi-alternating regenerative processes modulating by regularly and singularly perturbed finite semi-Markov processes. It also features a new study of super-long, long, and short time ergodic theorems for these processes. The book also contains a comprehensive bibliography of major works in the field. It provides an effective reference for both graduate students as well as theoretical and applied researchers studying stochastic processes and their applications.
Download or read book Markov modulated Stochastic Storage Processes written by Yixin Zhu and published by . This book was released on 1989 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Markov Renewal and Piecewise Deterministic Processes written by Christiane Cocozza-Thivent and published by Springer Nature. This book was released on 2021-06-09 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is aimed at researchers, graduate students and engineers who would like to be initiated to Piecewise Deterministic Markov Processes (PDMPs). A PDMP models a deterministic mechanism modified by jumps that occur at random times. The fields of applications are numerous : insurance and risk, biology, communication networks, dependability, supply management, etc. Indeed, the PDMPs studied so far are in fact deterministic functions of CSMPs (Completed Semi-Markov Processes), i.e. semi-Markov processes completed to become Markov processes. This remark leads to considerably broaden the definition of PDMPs and allows their properties to be deduced from those of CSMPs, which are easier to grasp. Stability is studied within a very general framework. In the other chapters, the results become more accurate as the assumptions become more precise. Generalized Chapman-Kolmogorov equations lead to numerical schemes. The last chapter is an opening on processes for which the deterministic flow of the PDMP is replaced with a Markov process. Marked point processes play a key role throughout this book.
Download or read book Semi Markov Random Evolutions written by Vladimir S. Korolyuk and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: The evolution of systems in random media is a broad and fruitful field for the applica tions of different mathematical methods and theories. This evolution can be character ized by a semigroup property. In the abstract form, this property is given by a semigroup of operators in a normed vector (Banach) space. In the practically boundless variety of mathematical models of the evolutionary systems, we have chosen the semi-Markov ran dom evolutions as an object of our consideration. The definition of the evolutions of this type is based on rather simple initial assumptions. The random medium is described by the Markov renewal processes or by the semi Markov processes. The local characteristics of the system depend on the state of the ran dom medium. At the same time, the evolution of the system does not affect the medium. Hence, the semi-Markov random evolutions are described by two processes, namely, by the switching Markov renewal process, which describes the changes of the state of the external random medium, and by the switched process, i.e., by the semigroup of oper ators describing the evolution of the system in the semi-Markov random medium.
Download or read book Proceedings of KAIST Mathematics Workshop written by and published by . This book was released on 1991 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Markov modulated Queueing Systems written by N. U. Prabhu and published by . This book was released on 1989 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Tutorial on Markov Renewal Theory Semi Regenerative Processes and Their Applications written by Ralph L. Disney and published by . This book was released on 1980 with total page 109 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a tutorial paper on Markov renewal processes, semi-regenerative processes and their applications to many fields of interest. It was presented in the tutorial sessions of the O.R.S.A./T.I.M.S. meetings in Colorado Springs, November, 1980. The paper reviews the basic ingredients of the processes discussed, such as: structure of the process, semi-Markov kernels, Markov renewal functions, and integral equations of semi-regenerative processes. Considerable time is spent discussing several applications to combat line-of-sight, queueing, policy medical emergency systems, disease modelling, power generator reliability and worker fatigue. The bibliography of 21 items provides further readings for the beginner to pursue these topics. (Author).
