Difference and differential equations with applications in queueing theory
by Haghighi, Aliakbar Montazer
"This book features a collection of topics that are used in stochastic processes and, particularly, in queueing theory. Differential equations, difference equations, and Markovian queues (as they relate to systems of linear differential difference equations) are presented, and the relationship between the methods and applications are thoroughly addressed"--
Read More ↓Title Statements
- Full title :Difference and differential equations with applications in queueing theory / Aliakbar M. Haghighi Department of Mathematics, Prairie View A & M University, Prairie View, Texas, Dimitar P. Mishev Department of Mathematics, Prairie View A & M University, Prairie View, Texas.
Summary
"This book features a collection of topics that are used in stochastic processes and, particularly, in queueing theory. Differential equations, difference equations, and Markovian queues (as they relate to systems of linear differential difference equations) are presented, and the relationship between the methods and applications are thoroughly addressed"--
Read More ↓Edition Statements
- Publication Date:2013
Publication Statements
- Publisher(s):John Wiley & Sons, Inc
- Place of Publication:Hoboken, New Jersey
- Language:eng
- Publication Date:2013
The Physical Object
- Description:1 online resource
Edition Identifiers
- ISBN:9781118400647, 111840064X, 9781118400654, 1118400658, 9781118400623, 1118400623, 9781118400678, 1118400674, 9781299648371, 1299648371
- oclc:ocn830837653
- LC Classification:QA274.8
- Dewey Decimal:519.8/2
Table of Contents
Cover; Title page; Copyright page; Contents; Preface; CHAPTER ONE: Probability and Statistics; 1.1. Basic Definitions and Concepts of Probability; 1.2. Discrete Random Variables and Probability Distribution Functions; 1.3. Moments of a Discrete Random Variable; 1.4. Continuous Random Variables; 1.5. Moments of a Continuous Random Variable; 1.6. Continuous Probability Distribution Functions; 1.7. Random Vector; 1.8. Continuous Random Vector; 1.9. Functions of a Random Variable; 1.10. Basic Elements of Statistics; 1.10.1. Measures of Central Tendency; 1.10.2. Measure of Dispersion.
1.10.3. Properties of Sample Statistics1.11. Inferential Statistics; 1.11.1. Point Estimation; 1.11.2. Interval Estimation; 1.12. Hypothesis Testing; 1.13. Reliability; Exercises; CHAPTER TWO: Transforms; 2.1. Fourier Transform; 2.2. Laplace Transform; 2.3. Z-Transform; 2.4. Probability Generating Function; 2.4.1. Some Properties of a Probability Generating Function; Exercises; CHAPTER THREE: Differential Equations; 3.1. Basic Concepts and Definitions; 3.2. Existence and Uniqueness; 3.3. Separable Equations; 3.3.1. Method of Solving Separable Differential Equations.
3.4. Linear Differential Equations3.4…
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