Download or read book Modelling and Control of Birth and Death Processes written by Wayne Marcus Getz and published by . This book was released on 1976 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Birth and death process bdp models with applications queueing communication systems chemical models biological models written by P. R. Parthasarathy and published by . This book was released on 2004 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The first volume in a new state-of-the-art series of works which are up-to-the-minute in their areas. These are texts and reference works and for the professional in the area; they are definitive and contain new insights on the material. In this book, P.R. Parthasarathy (Indian Institute of Technology, Madras) and R.B. Lenin (University of Antwerp) cover birth and death processes, including the important and difficult transient behavior. They cover such important quantities as transient and stationary distributions and first passage times. The first six chapters cover the theory, and include examples. Chapters 7-10 detail important applications: exact transient solutions of state-dependent many-server queues with balking, discouraged customers, and loss systems (Chapter 7), communication systems (fluid queue and multiprocessor systems) (Chapter 8), chemical models (first order reactions and diatomic systems) (Chapter 9), and biological models of epidemics, superinfection, and density-dependent populations. (Ch. 10). Throughout time-dependent behavior is given for system characteristics in graphs."

Download or read book A Note on Linear Equations Modeling Birth and death Processes written by Michele Elia and published by . This book was released on 1992 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book General Birth death Processes written by Forrest Wrenn Crawford and published by . This book was released on 2012 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt: A birth-death process is a continuous-time Markov chain that counts the number of particles in a system over time. Each particle can give birth to another particle or die, and the rate of births and deaths at any given time depends on how many extant particles there are. Birth-death processes are popular modeling tools in evolution, population biology, genetics, epidemiology, and ecology. Despite the widespread interest in birth-death models, no efficient method exists to evaluate the finite-time transition probabilities in a process with arbitrary birth and death rates. Statistical inference of the instantaneous particle birth and death rates also remains largely limited to continuously-observed processes in which per-particle birth and death rates are constant. The lack of theoretical progress in developing statistical tools for dealing with data from birth-death processes has hindered their adoption by applied researchers, and represents a major research frontier in statistical inference for stochastic processes. In this dissertation, I seek to fill this apparent void in three ways. First, I develop mathematical theory and computational tools for computing transition probabilities for general birth-death processes. Second, I develop algorithms for maximum likelihood estimation of rate parameters in discretely observed processes. Third, I derive probability distributions for characteristics of certain birth-death models that are fundamental in macroevolutionary studies. In each case, I give practical applications of the methodology, and show how unsolved problems can be attacked using these techniques.

Download or read book An Introduction to Stochastic Modeling written by Howard M. Taylor and published by Academic Press. This book was released on 2014-05-10 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Introduction to Stochastic Modeling provides information pertinent to the standard concepts and methods of stochastic modeling. This book presents the rich diversity of applications of stochastic processes in the sciences. Organized into nine chapters, this book begins with an overview of diverse types of stochastic models, which predicts a set of possible outcomes weighed by their likelihoods or probabilities. This text then provides exercises in the applications of simple stochastic analysis to appropriate problems. Other chapters consider the study of general functions of independent, identically distributed, nonnegative random variables representing the successive intervals between renewals. This book discusses as well the numerous examples of Markov branching processes that arise naturally in various scientific disciplines. The final chapter deals with queueing models, which aid the design process by predicting system performance. This book is a valuable resource for students of engineering and management science. Engineers will also find this book useful.

Download or read book Optimal Control of Birth and Death Processes and Queues written by Richard F. Serfozo and published by . This book was released on 1977 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: We consider a controlled birth and death process that moves as follows. Upon reaching a state i a pair of birth-death parameters (lambda, mu), is selected from a prescribed set. Then the process remains in the state i until a birth or death occurs according to these parameters, at which time a pair of birth-death parameters is again selected. This is repeated indefinitely. A cost of c(lambda, mu) + h(i) per unit time is incurred for selecting (lambda, mu) when the process is in state i, and a reward is received for each birth. A policy is a rule for successively selecting the birth-death parameters as a function of the state of the process.

Download or read book Finite Birth and Death Models in Randomly Changing Environments written by Donald Paul Gaver and published by . This book was released on 1982 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This report provides computational methods for studying properties of birth-death processes whose transition rates (infinitesimal generator) varies in accordance with a random, 'environmental', process. In particular, the models may be used to represent the availability fo redundant systems subject to external shocks or other 'common cause' failures. These models also represent search for an object when the search environment (e.g. weather) varies randomly in time. (Author).

Download or read book Introduction to Matrix Analytic Methods in Stochastic Modeling written by G. Latouche and published by SIAM. This book was released on 1999-01-01 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents the basic mathematical ideas and algorithms of the matrix analytic theory in a readable, up-to-date, and comprehensive manner.

Download or read book Estimation of the Time Since Death written by Burkhard Madea and published by CRC Press. This book was released on 2015-09-08 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Estimation of the Time Since Death remains the foremost authoritative book on scientifically calculating the estimated time of death postmortem. Building on the success of previous editions which covered the early postmortem period, this new edition also covers the later postmortem period including putrefactive changes, entomology, and postmortem r

Download or read book Subject Catalog written by Library of Congress and published by . This book was released on 1981 with total page 1012 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Selected Topics on Continuous time Controlled Markov Chains and Markov Games written by Tomas Prieto-Rumeau and published by World Scientific. This book was released on 2012 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book concerns continuous-time controlled Markov chains, also known as continuous-time Markov decision processes. They form a class of stochastic control problems in which a single decision-maker wishes to optimize a given objective function. This book is also concerned with Markov games, where two decision-makers (or players) try to optimize their own objective function. Both decision-making processes appear in a large number of applications in economics, operations research, engineering, and computer science, among other areas. An extensive, self-contained, up-to-date analysis of basic optimality criteria (such as discounted and average reward), and advanced optimality criteria (e.g., bias, overtaking, sensitive discount, and Blackwell optimality) is presented. A particular emphasis is made on the application of the results herein: algorithmic and computational issues are discussed, and applications to population models and epidemic processes are shown. This book is addressed to students and researchers in the fields of stochastic control and stochastic games. Moreover, it could be of interest also to undergraduate and beginning graduate students because the reader is not supposed to have a high mathematical background: a working knowledge of calculus, linear algebra, probability, and continuous-time Markov chains should suffice to understand the contents of the book.

Download or read book Spatial Point Patterns written by Adrian Baddeley and published by CRC Press. This book was released on 2015-11-11 with total page 830 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern Statistical Methodology and Software for Analyzing Spatial Point PatternsSpatial Point Patterns: Methodology and Applications with R shows scientific researchers and applied statisticians from a wide range of fields how to analyze their spatial point pattern data. Making the techniques accessible to non-mathematicians, the authors draw on th

Download or read book An Introduction to Stochastic Processes with Applications to Biology written by Linda J. S. Allen and published by CRC Press. This book was released on 2010-12-02 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Introduction to Stochastic Processes with Applications to Biology, Second Edition presents the basic theory of stochastic processes necessary in understanding and applying stochastic methods to biological problems in areas such as population growth and extinction, drug kinetics, two-species competition and predation, the spread of epidemics, and

Download or read book Disease Control Priorities Third Edition Volume 2 written by Robert Black and published by World Bank Publications. This book was released on 2016-04-11 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: The evaluation of reproductive, maternal, newborn, and child health (RMNCH) by the Disease Control Priorities, Third Edition (DCP3) focuses on maternal conditions, childhood illness, and malnutrition. Specifically, the chapters address acute illness and undernutrition in children, principally under age 5. It also covers maternal mortality, morbidity, stillbirth, and influences to pregnancy and pre-pregnancy. Volume 3 focuses on developments since the publication of DCP2 and will also include the transition to older childhood, in particular, the overlap and commonality with the child development volume. The DCP3 evaluation of these conditions produced three key findings: 1. There is significant difficulty in measuring the burden of key conditions such as unintended pregnancy, unsafe abortion, nonsexually transmitted infections, infertility, and violence against women. 2. Investments in the continuum of care can have significant returns for improved and equitable access, health, poverty, and health systems. 3. There is a large difference in how RMNCH conditions affect different income groups; investments in RMNCH can lessen the disparity in terms of both health and financial risk.

Download or read book Stochastic Models in Reliability Network Security and System Safety written by Quan-Lin Li and published by Springer Nature. This book was released on 2019-10-21 with total page 497 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is dedicated to Jinhua Cao on the occasion of his 80th birthday. Jinhua Cao is one of the most famous reliability theorists. His main contributions include: published over 100 influential scientific papers; published an interesting reliability book in Chinese in 1986, which has greatly influenced the reliability of education, academic research and engineering applications in China; initiated and organized Reliability Professional Society of China (the first part of Operations Research Society of China) since 1981. The high admiration that Professor Cao enjoys in the reliability community all over the world was witnessed by the enthusiastic response of each contributor in this book. The contributors are leading researchers with diverse research perspectives. The research areas of the book iclude a broad range of topics related to reliability models, queueing theory, manufacturing systems, supply chain finance, risk management, Markov decision processes, blockchain and so forth. The book consists of a brief Preface describing the main achievements of Professor Cao; followed by congratulations from Professors Way Kuo and Wei Wayne Li, and by Operations Research Society of China, and Reliability Professional Society of China; and further followed by 25 articles roughly grouped together. Most of the articles are written in a style understandable to a wide audience. This book is useful to anyone interested in recent developments in reliability, network security, system safety, and their stochastic modeling and analysis.

Download or read book Indian Journal of Mathematics written by and published by . This book was released on 1978 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book A First Course in Stochastic Processes written by Samuel Karlin and published by Academic Press. This book was released on 2012-12-02 with total page 577 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose, level, and style of this new edition conform to the tenets set forth in the original preface. The authors continue with their tack of developing simultaneously theory and applications, intertwined so that they refurbish and elucidate each other. The authors have made three main kinds of changes. First, they have enlarged on the topics treated in the first edition. Second, they have added many exercises and problems at the end of each chapter. Third, and most important, they have supplied, in new chapters, broad introductory discussions of several classes of stochastic processes not dealt with in the first edition, notably martingales, renewal and fluctuation phenomena associated with random sums, stationary stochastic processes, and diffusion theory.