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Probability, Markov Chains, Queues, And Simulation: The Mathematical Basis Of Performance Modeling
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Probability, Markov Chains, Queues, And Simulation Provides A Modern And Authoritative Treatment Of The Mathematical Processes That Underlie Performance Modeling. The Detailed Explanations Of Mathematical Derivations And Numerous Illustrative Examples Make This Textbook Readily Accessible To Graduate And Advanced Undergraduate Students Taking Courses In Which Stochastic Processes Play A Fundamental Role. The Textbook Is Relevant To A Wide Variety Of Fields, Including Computer Science, Engineering, Operations Research, Statistics, And Mathematics.The Textbook Looks At The Fundamentals Of Probability Theory, From The Basic Concepts Of Setbased Probability, Through Probability Distributions, To Bounds, Limit Theorems, And The Laws Of Large Numbers. Discrete And Continuoustime Markov Chains Are Analyzed From A Theoretical And Computational Point Of View. Topics Include The Chapmankolmogorov Equations; Irreducibility; The Potential, Fundamental, And Reachability Matrices; Random Walk Problems; Reversibility; Renewal Processes; And The Numerical Computation Of Stationary And Transient Distributions. The M/M/1 Queue And Its Extensions To More General Birthdeath Processes Are Analyzed In Detail, As Are Queues With Phasetype Arrival And Service Processes. The M/G/1 And G/M/1 Queues Are Solved Using Embedded Markov Chains; The Busy Period, Residual Service Time, And Priority Scheduling Are Treated. Open And Closed Queueing Networks Are Analyzed. The Final Part Of The Book Addresses The Mathematical Basis Of Simulation.Each Chapter Of The Textbook Concludes With An Extensive Set Of Exercises. An Instructor'S Solution Manual, In Which All Exercises Are Completely Worked Out, Is Also Available (To Professors Only).Numerous Examples Illuminate The Mathematical Theoriescarefully Detailed Explanations Of Mathematical Derivations Guarantee A Valuable Pedagogical Approacheach Chapter Concludes With An Extensive Set Of Exercises
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- Q: How many pages does the book have? A: The book has seven hundred seventy-six pages. This extensive length allows for detailed explanations and numerous examples.
- Q: What is the binding type of this book? A: The book features a hardcover binding. This makes it durable and suitable for frequent use in academic settings.
- Q: What are the dimensions of the book? A: The book measures seven point twenty-five inches in length, one point seventy-five inches in width, and ten point twenty-five inches in height. These dimensions make it a standard size for textbooks.
- Q: Who is the author of this textbook? A: The author of this textbook is William J. Stewart. He is known for his expertise in probability and stochastic processes.
- Q: What subject does this book cover? A: The book covers probability, Markov chains, queues, and simulation. It is designed for advanced undergraduate and graduate students.
- Q: What is the target audience for this book? A: The book is targeted at graduate and advanced undergraduate students. It is suitable for those studying computer science, engineering, and mathematics.
- Q: How can I use this book effectively? A: You can use this book as a textbook for courses on stochastic processes. Each chapter includes exercises to reinforce learning.
- Q: Is this book suitable for beginners? A: No, this book is not suitable for beginners. It is designed for students with a fundamental understanding of probability theory.
- Q: Does this book include exercises? A: Yes, each chapter concludes with an extensive set of exercises. This helps students practice and apply the concepts learned.
- Q: Can I find a solution manual for the exercises? A: Yes, an instructor's solution manual is available. However, it is only accessible to professors.
- Q: How should I take care of this textbook? A: To care for this textbook, keep it in a dry environment and store it upright. Avoid exposing it to excessive moisture.
- Q: Is this book safe for all ages? A: Yes, the book is generally safe for all ages. However, it is intended for students in higher education.
- Q: What if the book arrives damaged? A: If the book arrives damaged, contact the seller for return instructions. Most retailers will provide a replacement or refund.
- Q: Can I return this book if I'm not satisfied? A: Yes, you can typically return the book if you are not satisfied. Check the retailer's return policy for specific details.
- Q: What makes this textbook unique? A: This textbook provides a modern and authoritative treatment of mathematical processes. It includes numerous examples and detailed explanations.