Probability Models In Operations Research
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Probabilistic Models In Operations Research
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Author : Silviu Guiasu
language : en
Publisher:
Release Date : 2009
Probabilistic Models In Operations Research written by Silviu Guiasu and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Operations research categories.
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.
Probability Models In Operations Research
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Author : C. Richard Cassady
language : en
Publisher: CRC Press
Release Date : 2008-08-05
Probability Models In Operations Research written by C. Richard Cassady and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-08-05 with Business & Economics categories.
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
Programming And Probability Models In Operations Research
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Author : Donald P. Gaver
language : en
Publisher:
Release Date : 1973
Programming And Probability Models In Operations Research written by Donald P. Gaver and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Business & Economics categories.
Probability Models
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Author : John Haigh
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-07-04
Probability Models written by John Haigh and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07-04 with Mathematics categories.
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.
Probability And Statistical Models In Operations Research Computer And Management Sciences
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Author : Syouji Nakamura
language : en
Publisher: Springer Nature
Release Date : 2024-09-25
Probability And Statistical Models In Operations Research Computer And Management Sciences written by Syouji Nakamura and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-09-25 with Mathematics categories.
This book explores the convergence of stochastic modeling, reliability tools, and the quest for solutions in an era of globalized challenges. The tools have become only more important in the unforeseen emergencies such as the COVID-19 pandemic and the conflict in Ukraine. This comprehensive book is an invaluable resource for graduate students seeking practical knowledge on probability and statistics in real-world applications. The book is divided into four parts: reliability, computer science, management science, and operations research. Each part includes surveys, recent results, and tools used. Moreover, it offers an essential reference point for researchers, engineers, and managers operating in laboratories, industries, businesses, and government agencies. Through the exchange of academic achievements, ideas, and discussions, this book serves as a catalyst for progress and innovation.
Introduction To Probability Models
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Author : Sheldon M. Ross
language : en
Publisher: Academic Press
Release Date : 2006-12-11
Introduction To Probability Models written by Sheldon M. Ross and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-12-11 with Mathematics categories.
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
Computational Probability
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Author : John H. Drew
language : en
Publisher: Springer
Release Date : 2016-12-15
Computational Probability written by John H. Drew and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-12-15 with Business & Economics categories.
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.
Operations Research Introduction To Models And Methods
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Author : Richard Johannes Boucherie
language : en
Publisher: World Scientific Publishing Company
Release Date : 2021-10-26
Operations Research Introduction To Models And Methods written by Richard Johannes Boucherie and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-26 with Mathematics categories.
"All essential topics and even more are covered while keeping the size of the book down (competitive textbooks are lengthy at thousand pages, which is overwhelming for beginning students). LP-sensitivity and post-optimality analysis are presented in an easily understandable manner. Much attention is focused on heuristic solution methods and dynamic optimization. Coverage of more advanced operations research topics, such as Markovian control, inventory and queueing approximations, and networks of queues. A carefully designed collection of motivational examples and problems"--
Introduction To Probability Models
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Author : Sheldon M. Ross
language : en
Publisher: Elsevier
Release Date : 2006-11-21
Introduction To Probability Models written by Sheldon M. Ross and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-21 with Mathematics categories.
Introduction to Probability Models, Ninth Edition, is the primary text for a first undergraduate course in applied probability. This updated edition of Ross's classic bestseller provides an introduction to elementary probability theory and stochastic processes, and shows 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. With the addition of several new sections relating to actuaries, this text is highly recommended by the Society of Actuaries. This book now contains a new section on compound random variables that can be used to establish a recursive formula for computing probability mass functions for a variety of common compounding distributions; a new section on hiddden Markov chains, including the forward and backward approaches for computing the joint probability mass function of the signals, as well as the Viterbi algorithm for determining the most likely sequence of states; and a simplified approach for analyzing nonhomogeneous Poisson processes. There are also additional results on queues relating to the conditional distribution of the number found by an M/M/1 arrival who spends a time t in the system; inspection paradox for M/M/1 queues; and M/G/1 queue with server breakdown. Furthermore, the book includes new examples and exercises, along with compulsory material for new Exam 3 of the Society of Actuaries. This book is essential reading for professionals and students in actuarial science, engineering, operations research, and other fields in applied probability. A new section (3.7) on COMPOUND RANDOM VARIABLES, that can be used to establish a recursive formula for computing probability mass functions for a variety of common compounding distributions.A new section (4.11) on HIDDDEN MARKOV CHAINS, including the forward and backward approaches for computing the joint probability mass function of the signals, as well as the Viterbi algorithm for determining the most likely sequence of states.Simplified Approach for Analyzing Nonhomogeneous Poisson processesAdditional results on queues relating to the (a) conditional distribution of the number found by an M/M/1 arrival who spends a time t in the system,;(b) inspection paradox for M/M/1 queues(c) M/G/1 queue with server breakdownMany new examples and exercises.
Introduction To Probability Models Student Solutions Manual E Only
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Author : Sheldon M. Ross
language : en
Publisher: Academic Press
Release Date : 2010-01-01
Introduction To Probability Models Student Solutions Manual E Only written by Sheldon M. Ross and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-01-01 with Mathematics categories.
Introduction to Probability Models, Student Solutions Manual (e-only)