Difference and differential equations with applications in queueing theory /

"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...

Full description

Bibliographic Details
Main Author: Haghighi, Aliakbar Montazer
Other Authors: Mishev, D. P. (Dimiter P.)
Format: eBook
Language:English
Published: Hoboken, New Jersey : John Wiley & Sons, Inc., [2013]
Subjects:
Online Access:Connect to the full text of this electronic book

MARC

LEADER 00000nam a2200000 i 4500
001 in00004679890
006 m o d
007 cr |||||||||||
008 130320s2013 nju ob 001 0 eng
005 20230506170000.6
010 |a  2013011634 
035 |a wil6007436 
035 |a (DLC)wil6007436 
040 |a DLC  |b eng  |e rda  |e pn  |c DLC 
020 |a 9781118400647  |q (pdf) 
020 |a 111840064X  |q (pdf) 
020 |a 9781118400654 
020 |a 1118400658 
020 |a 9781118400623 
020 |a 1118400623 
020 |a 9781118400678 
020 |a 1118400674 
020 |a 9781299648371 
020 |a 1299648371 
020 |z 9781118393246  |q (hardback) 
020 |z 1118393244 
024 8 |a ebc1207568 
028 0 1 |a EB00063494  |b Recorded Books 
042 |a pcc 
050 0 0 |a QA274.8  |b .H34 2013 
072 7 |a MAT  |x 003000  |2 bisacsh 
072 7 |a MAT  |x 029000  |2 bisacsh 
082 0 0 |a 519.8/2  |2 23 
084 |a MAT029000  |2 bisacsh 
100 1 |a Haghighi, Aliakbar Montazer. 
245 1 0 |a Difference and differential equations with applications in queueing theory /  |c 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. 
264 1 |a Hoboken, New Jersey :  |b John Wiley & Sons, Inc.,  |c [2013] 
300 |a 1 online resource 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
520 |a "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"--  |c Provided by publisher. 
504 |a Includes bibliographical references and index. 
588 0 |a Print version record and CIP data provided by publisher. 
505 0 |a 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. 
505 8 |a 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. 
505 8 |a 3.4. Linear Differential Equations3.4.1. Method of Solving a Linear First-Order Differential Equation; 3.5. Exact Differential Equations; 3.6. Solution of the First ODE by Substitution Method; 3.6.1. Substitution Method; 3.6.2. Reduction to Separation of Variables; 3.7. Applications of the First-Order ODEs; 3.8. Second-Order Homogeneous ODE; 3.8.1. Solving a Linear Homogeneous Second-Order Differential Equation; 3.9. The Second-Order Nonhomogeneous Linear ODE with Constant Coefficients; 3.9.1. Method of Undetermined Coefficients; 3.9.2. Variation of Parameters Method. 
505 8 |a 3.10. Miscellaneous Methods for Solving ODE3.10.1. Cauchy-Euler Equation; 3.10.2. Elimination Method to Solve Differential Equations; 3.10.3. Application of Laplace Transform to Solve ODE; 3.10.4. Solution of Linear ODE Using Power Series; 3.11. Applications of the Second-Order ODE; 3.11.1. Spring-Mass System: Free Undamped Motion; 3.11.2. Damped-Free Vibration; 3.12. Introduction to PDE: Basic Concepts; 3.12.1. First-Order Partial Differential Equations; 3.12.2. Second-Order Partial Differential Equations; Exercises; CHAPTER FOUR: Difference Equations; 4.1. Basic Terms. 
505 8 |a 4.2. Linear Homogeneous Difference Equations with Constant Coefficients4.3. Linear Nonhomogeneous Difference Equations with Constant Coefficients; 4.3.1. Characteristic Equation Method; 4.3.2. Recursive Method; 4.4. System of Linear Difference Equations; 4.4.1. Generating Functions Method; 4.5. Differential-Difference Equations; 4.6. Nonlinear Difference Equations; Exercises; CHAPTER FIVE: Queueing Theory; 5.1. Introduction; 5.2. Markov Chain and Markov Process; 5.3. Birth and Death (B-D) Process; 5.4. Introduction to Queueing Theory; 5.5. Single-Server Markovian Queue, M/M/1. 
505 8 |a 5.5.1. Transient Queue Length Distribution for M/M/1. 
650 0 |a Queuing theory. 
650 0 |a Difference equations. 
650 0 |a Differential equations. 
655 4 |a Electronic books. 
700 1 |a Mishev, D. P.  |q (Dimiter P.) 
776 0 8 |i Print version:  |a Haghighi, Aliakbar Montazer.  |t Difference and differential equations with applications in queueing theory.  |d Hoboken, New Jersey : John Wiley & Sons, Inc., [2013]  |z 9781118393246  |w (DLC) 2013001302 
856 4 0 |u http://proxy.library.tamu.edu/login?url=https://onlinelibrary.wiley.com/book/10.1002/9781118400678  |z Connect to the full text of this electronic book  |t 0 
955 |a Wiley EBA record 
975 |p Wiley UBCM Full Collection 2023 
976 |a 6007436 
999 f f |s 13543861-7cd3-4985-803b-8a19e559dd2f  |i 47c5f206-3264-410e-97cf-ef8686d68a7b  |t 0 
952 f f |a Texas A&M University  |b College Station  |c Electronic Resources  |d Available Online  |t 0  |e QA274.8 .H34 2013  |h Library of Congress classification 
998 f f |a QA274.8 .H34 2013  |t 0  |l Available Online