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 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 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 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 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 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 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 Elsevier. This book was released on 2007 with total page 801 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rosss classic bestseller has been used extensively by professionals and as the primary text for a first undergraduate course in applied probability. With the addition of several new sections relating to actuaries, this text is highly recommended by the Society of Actuaries.

Download or read book Stochastic Models in Operations Research written by Daniel P. Heyman and published by Courier Corporation. This book was released on 2004-01-01 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume of a 2-volume set explores the central facts and ideas of stochastic processes, illustrating their use in models based on applied and theoretical investigations. Explores stochastic processes, operating characteristics of stochastic systems, and stochastic optimization. Comprehensive in its scope, this graduate-level text emphasizes the practical importance, intellectual stimulation, and mathematical elegance of stochastic models.

Download or read book Deterministic Operations Research written by David J. Rader and published by John Wiley & Sons. This book was released on 2013-06-07 with total page 631 pages. Available in PDF, EPUB and Kindle. Book excerpt: Uniquely blends mathematical theory and algorithm design for understanding and modeling real-world problems Optimization modeling and algorithms are key components to problem-solving across various fields of research, from operations research and mathematics to computer science and engineering. Addressing the importance of the algorithm design process. Deterministic Operations Research focuses on the design of solution methods for both continuous and discrete linear optimization problems. The result is a clear-cut resource for understanding three cornerstones of deterministic operations research: modeling real-world problems as linear optimization problem; designing the necessary algorithms to solve these problems; and using mathematical theory to justify algorithmic development. Treating real-world examples as mathematical problems, the author begins with an introduction to operations research and optimization modeling that includes applications form sports scheduling an the airline industry. Subsequent chapters discuss algorithm design for continuous linear optimization problems, covering topics such as convexity. Farkas’ Lemma, and the study of polyhedral before culminating in a discussion of the Simplex Method. The book also addresses linear programming duality theory and its use in algorithm design as well as the Dual Simplex Method. Dantzig-Wolfe decomposition, and a primal-dual interior point algorithm. The final chapters present network optimization and integer programming problems, highlighting various specialized topics including label-correcting algorithms for the shortest path problem, preprocessing and probing in integer programming, lifting of valid inequalities, and branch and cut algorithms. Concepts and approaches are introduced by outlining examples that demonstrate and motivate theoretical concepts. The accessible presentation of advanced ideas makes core aspects easy to understand and encourages readers to understand how to think about the problem, not just what to think. Relevant historical summaries can be found throughout the book, and each chapter is designed as the continuation of the “story” of how to both model and solve optimization problems by using the specific problems-linear and integer programs-as guides. The book’s various examples are accompanied by the appropriate models and calculations, and a related Web site features these models along with MapleTM and MATLAB® content for the discussed calculations. Thoroughly class-tested to ensure a straightforward, hands-on approach, Deterministic Operations Research is an excellent book for operations research of linear optimization courses at the upper-undergraduate and graduate levels. It also serves as an insightful reference for individuals working in the fields of mathematics, engineering, computer science, and operations research who use and design algorithms to solve problem in their everyday work.

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 Discrete Probability Models and Methods written by Pierre Brémaud and published by Springer. This book was released on 2017-01-31 with total page 561 pages. Available in PDF, EPUB and Kindle. Book excerpt: The emphasis in this book is placed on general models (Markov chains, random fields, random graphs), universal methods (the probabilistic method, the coupling method, the Stein-Chen method, martingale methods, the method of types) and versatile tools (Chernoff's bound, Hoeffding's inequality, Holley's inequality) whose domain of application extends far beyond the present text. Although the examples treated in the book relate to the possible applications, in the communication and computing sciences, in operations research and in physics, this book is in the first instance concerned with theory. The level of the book is that of a beginning graduate course. It is self-contained, the prerequisites consisting merely of basic calculus (series) and basic linear algebra (matrices). The reader is not assumed to be trained in probability since the first chapters give in considerable detail the background necessary to understand the rest of the book.

Download or read book Computational Probability written by John H. Drew and published by Springer. This book was released on 2016-12-15 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new edition includes the latest advances and developments in computational probability involving A Probability Programming Language (APPL). The book examines and presents, in a systematic manner, computational probability methods that encompass data structures and algorithms. The developed techniques address problems that require exact probability calculations, many of which have been considered intractable in the past. The book addresses the plight of the probabilist by providing algorithms to perform calculations associated with random variables. Computational Probability: Algorithms and Applications in the Mathematical Sciences, 2nd Edition begins with an introductory chapter that contains short examples involving the elementary use of APPL. Chapter 2 reviews the Maple data structures and functions necessary to implement APPL. This is followed by a discussion of the development of the data structures and algorithms (Chapters 3–6 for continuous random variables and Chapters 7–9 for discrete random variables) used in APPL. The book concludes with Chapters 10–15 introducing a sampling of various applications in the mathematical sciences. This book should appeal to researchers in the mathematical sciences with an interest in applied probability and instructors using the book for a special topics course in computational probability taught in a mathematics, statistics, operations research, management science, or industrial engineering department.

Download or read book Solutions Cd rom for Student Solutions Manual for Winston s Introduction to Probability Models written by Wayne L. Winston and published by Duxbury Press. This book was released on 2003-08-08 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Probability Models written by John Haigh and published by Springer Science & Business Media. This book was released on 2013-07-04 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to provide a sound introduction to the study of real-world phenomena that possess random variation. It describes how to set up and analyse models of real-life phenomena that involve elements of chance. Motivation comes from everyday experiences of probability, such as that of a dice or cards, the idea of fairness in games of chance, and the random ways in which, say, birthdays are shared or particular events arise. Applications include branching processes, random walks, Markov chains, queues, renewal theory, and Brownian motion. This textbook contains many worked examples and several chapters have been updated and expanded for the second edition. Some mathematical knowledge is assumed. The reader should have the ability to work with unions, intersections and complements of sets; a good facility with calculus, including integration, sequences and series; and appreciation of the logical development of an argument. Probability Models is designed to aid students studying probability as part of an undergraduate course on mathematics or mathematics and statistics.

Download or read book Applied Probability Models with Optimization Applications written by Sheldon M. Ross and published by Courier Corporation. This book was released on 2013-04-15 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: Concise advanced-level introduction to stochastic processes that arise in applied probability. Poisson process, renewal theory, Markov chains, Brownian motion, much more. Problems. References. Bibliography. 1970 edition.

Download or read book Introduction to Probability Models Student Solutions Manual e only written by Sheldon M Ross and published by Academic Press. This book was released on 2010-01-01 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Probability Models, Student Solutions Manual (e-only)