Download or read book Probabilistic Models in Operations Research written by Silviu Guiasu and published by . This book was released on 2009 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Operations Research, often abbreviated as OR, is a relatively new branch of Applied Mathematics. Its aim is to optimise mathematical models of reality involving probabilistic uncertainty and its results are applied to real life problems. The aim of this book is to cover, in a condensed but rigorous way, the main chapter of the OR probablisitc models based on optimisation. The topics are taken from Game Theory, Decision Theory, Simulation, Reliability, and Queueing Theory. Game Theory deals with how to find the best winning strategies in a confrontation between two players with opposite interest and how to evaluate the value of different possible coalitions in a game involving more than two players. In Decision Theory the main objective is to find the optimum actions of the decision maker for minimising his loss when he has limited information available and faces uncertainty about the future possible events. Simulation is a powerful instrument for obtaining representative examples, of any length, from probability distributions of interest and for approximating multiple definite integrals and the solutions of linear and non-linear equations and programs. In the chapter dealing with Reliability, the main problem is how to evaluate the probability that a system functions properly, or is still alive, during an arbitrary time interval. Finally, Queuing Theory deals with how to assess what may happen in a complex system where the customers arrive randomly, wait in line, and later are served. A main concept is the waiting time in the queuing system, waiting to be served and being served. In each chapter, some representative examples and the mathematical formalism are discussed first, eventually followed by the comments on ramifications, generalisations and applications of the basic results. Computer tips and programs are inserted in each chapter. The text is based on lectures delivered for more than twenty-five years in the Department of Mathematics and Statistics at York University in Toronto. The book is rather a monograph an the probablistic modes in Operations Research which could also be used as a text book in a more advanced OR course. The book is self-contained, compact, and accessible to mathematicians, economists, system analysts, decision makers, and people dealing with computer assisted modelling. It contains also new original topics and proofs not covered in the standard OR textbooks. The chapters are kept to be as independent as possible.
Download or read book Probability Models in Operations Research written by C. Richard Cassady and published by CRC Press. This book was released on 2008-08-05 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: Industrial engineering has expanded from its origins in manufacturing to transportation, health care, logistics, services, and more. A common denominator among all these industries, and one of the biggest challenges facing decision-makers, is the unpredictability of systems. Probability Models in Operations Research provides a comprehensive
Download or read book Analyzing Risk through Probabilistic Modeling in Operations Research written by Jakóbczak, Dariusz Jacek and published by IGI Global. This book was released on 2015-11-03 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: Probabilistic modeling represents a subject spanning many branches of mathematics, economics, and computer science to connect pure mathematics with applied sciences. Operational research also relies on this connection to enable the improvement of business functions and decision making. Analyzing Risk through Probabilistic Modeling in Operations Research is an authoritative reference publication discussing the various challenges in management and decision science. Featuring exhaustive coverage on a range of topics within operational research including, but not limited to, decision analysis, data mining, process modeling, probabilistic interpolation and extrapolation, and optimization methods, this book is an essential reference source for decision makers, academicians, researchers, advanced-level students, technology developers, and government officials interested in the implementation of probabilistic modeling in various business applications.
Download or read book Probablistic Models in Operations Research written by Silviu Guiasu and published by Nova Science Publishers. This book was released on 2014-05-14 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Programming and Probability Models in Operations Research written by Donald P. Gaver and published by . This book was released on 1973 with total page 710 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Introduction to Probability Models written by Wayne L. Winston and published by Brooks/Cole Publishing Company. This book was released on 2003-06-01 with total page 752 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text, the second volume of Wayne Winston's successful OPERATIONS RESEARCH: APPLICATIONS AND ALGORITHMS, FOURTH EDITION, covers topics in Probability Models and addresses the substantial contribution of Probability Modeling in the last five years to the fields of financial engineering, computational simulation and manufacturing. The specific attention to probability models with the addition of recent practical breakthroughs makes this the first text to introduce these ideas together at an accessible level.
Download or read book Probability Models in Operations Research Solutions Manual written by C. Richard Cassady and published by . This book was released on 2008-03-31 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Heavy Tail Phenomena written by Sidney I. Resnick and published by Springer Science & Business Media. This book was released on 2007-12-03 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive text gives an interesting and useful blend of the mathematical, probabilistic and statistical tools used in heavy-tail analysis. It is uniquely devoted to heavy-tails and emphasizes both probability modeling and statistical methods for fitting models. Prerequisites for the reader include a prior course in stochastic processes and probability, some statistical background, some familiarity with time series analysis, and ability to use a statistics package. This work will serve second-year graduate students and researchers in the areas of applied mathematics, statistics, operations research, electrical engineering, and economics.
Download or read book Probabilistic Reliability Models written by Igor A. Ushakov and published by John Wiley & Sons. This book was released on 2012-08-07 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: Practical Approaches to Reliability Theory in Cutting-Edge Applications Probabilistic Reliability Models helps readers understand and properly use statistical methods and optimal resource allocation to solve engineering problems. The author supplies engineers with a deeper understanding of mathematical models while also equipping mathematically oriented readers with a fundamental knowledge of the engineeringrelated applications at the center of model building. The book showcases the use of probability theory and mathematical statistics to solve common, real-world reliability problems. Following an introduction to the topic, subsequent chapters explore key systems and models including: • Unrecoverable objects and recoverable systems • Methods of direct enumeration • Markov models and heuristic models • Performance effectiveness • Time redundancy • System survivability • Aging units and their related systems • Multistate systems Detailed case studies illustrate the relevance of the discussed methods to real-world technical projects including software failure avalanches, gas pipelines with underground storage, and intercontinental ballistic missile (ICBM) control systems. Numerical examples and detailed explanations accompany each topic, and exercises throughout allow readers to test their comprehension of the presented material. Probabilistic Reliability Models is an excellent book for statistics, engineering, and operations research courses on applied probability at the upper-undergraduate and graduate levels. The book is also a valuable reference for professionals and researchers working in industry who would like a mathematical review of reliability models and the relevant applications.
Download or read book Introduction to Operations Research Models written by Leon Cooper and published by W.B. Saunders Company. This book was released on 1977 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: The nature of operations research. Allocations models. Solution of linear programming models. Additional allocation models. Network models. Location models. Scheduling models. Empirical probability models. Simple probability models. Probabilistic decision models. Markov models. Queuing models. Inventory models. Case studies in operations research. Appendix. Index.
Download or read book Introduction to Operations Research Probabilistic models 15 Markov chains 16 Queueing theory 17 The application of queueing theory 18 Inventory theory 19 Forecasting 20 Markovian decision processes and applications 21 Reliability 22 Decision analysis 23 Simulation written by Frederick S. Hillier and published by . This book was released on 1990 with total page 954 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Probabilistic Modeling in System Engineering written by Andrey Kostogryzov and published by BoD – Books on Demand. This book was released on 2018-09-26 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended for systems analysts, designers, developers, users, experts, as well as those involved in quality, risk, safety and security management, and, of course, scientists and students. The various sets of original and traditional probabilistic models and interesting results of their applications to the research of different systems are presented. The models are understandable and applicable for solving system engineering problems: to optimize system requirements, compare different processes, rationale technical decisions, carry out tests, adjust technological parameters, and predict and analyze quality and risks. The engineering decisions, scientifically proven by the proposed models and software tools, can provide purposeful, essential improvement of quality and mitigation of risks, and reduce the expense of operating systems. Models, methods, and software tools can also be used in education for system analysis and mathematical modeling on specializations, for example "systems engineering," "operations research," "enterprise management," "project management," "risk management," "quality of systems," "safety and security," "smart systems," "system of systems," etc.
Download or read book The Craft of Probabilistic Modelling written by J. Gani and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings together the personal accounts and reflections of nineteen mathematical model-builders, whose specialty is probabilistic modelling. The reader may well wonder why, apart from personal interest, one should commission and edit such a collection of articles. There are, of course, many reasons, but perhaps the three most relevant are: (i) a philosophicaJ interest in conceptual models; this is an interest shared by everyone who has ever puzzled over the relationship between thought and reality; (ii) a conviction, not unsupported by empirical evidence, that probabilistic modelling has an important contribution to make to scientific research; and finally (iii) a curiosity, historical in its nature, about the complex interplay between personal events and the development of a field of mathematical research, namely applied probability. Let me discuss each of these in turn. Philosophical Abstraction, the formation of concepts, and the construction of conceptual models present us with complex philosophical problems which date back to Democritus, Plato and Aristotle. We have all, at one time or another, wondered just how we think; are our thoughts, concepts and models of reality approxim&tions to the truth, or are they simply functional constructs helping us to master our environment? Nowhere are these problems more apparent than in mathematical model ling, where idealized concepts and constructions replace the imperfect realities for which they stand.
Download or read book Introduction to Probability Models written by Wayne L. Winston and published by Duxbury Resource Center. This book was released on 2003 with total page 762 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vol. 2: CD-ROM contains student editions of: ProcessModel, LINGO, Premium Solver, DecisionTools Suite including @RISK AND RISKOptimizer, Data files.
Download or read book Introduction to Probability Models written by Sheldon M. Ross and published by Academic Press. This book was released on 2006-12-11 with total page 801 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Probability Models, Tenth Edition, provides an introduction to elementary probability theory and stochastic processes. There are two approaches to the study of probability theory. One is heuristic and nonrigorous, and attempts to develop in students an intuitive feel for the subject that enables him or her to think probabilistically. The other approach attempts a rigorous development of probability by using the tools of measure theory. The first approach is employed in this text. The book begins by introducing basic concepts of probability theory, such as the random variable, conditional probability, and conditional expectation. This is followed by discussions of stochastic processes, including Markov chains and Poison processes. The remaining chapters cover queuing, reliability theory, Brownian motion, and simulation. Many examples are worked out throughout the text, along with exercises to be solved by students. This book will be particularly useful to those interested in learning how probability theory can be applied to the study of phenomena in fields such as engineering, computer science, management science, the physical and social sciences, and operations research. Ideally, this text would be used in a one-year course in probability models, or a one-semester course in introductory probability theory or a course in elementary stochastic processes. New to this Edition: 65% new chapter material including coverage of finite capacity queues, insurance risk models and Markov chains Contains compulsory material for new Exam 3 of the Society of Actuaries containing several sections in the new exams Updated data, and a list of commonly used notations and equations, a robust ancillary package, including a ISM, SSM, and test bank Includes SPSS PASW Modeler and SAS JMP software packages which are widely used in the field Hallmark features: Superior writing style Excellent exercises and examples covering the wide breadth of coverage of probability topics Real-world applications in engineering, science, business and economics
Download or read book Urban Operations Research written by Richard C. Larson and published by Prentice Hall. This book was released on 1981 with total page 598 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Uncertainty And Optimality Probability Statistics And Operations Research written by Jagadis Chandra Misra and published by World Scientific. This book was released on 2002-11-05 with total page 571 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with different modern topics in probability, statistics and operations research. It has been written lucidly in a novel way. Wherever necessary, the theory is explained in great detail, with suitable illustrations. Numerous references are given, so that young researchers who want to start their work in a particular area will benefit immensely from the book.The contributors are distinguished statisticians and operations research experts from all over the world.
