Difference and differential equations with applications in queueing theory /

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...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριος συγγραφέας: Haghighi, Aliakbar Montazer
Άλλοι συγγραφείς: Mishev, D. P. (Dimiter P.)
Μορφή: Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Hoboken, New Jersey : John Wiley & Sons, Inc., [2013]
Θέματα:
Queuing theory.
Difference equations.
Differential equations.
Mathematics.
MATHEMATICS > Probability & Statistics > General.
Warteschlangentheorie.
Differenzengleichung.
Differentialgleichung.
Electronic books.
Διαθέσιμο Online:Full Text via HEAL-Link
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049 |a MAIN 
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. 
650 4 |a Difference equations. 
650 4 |a Differential equations. 
650 4 |a Mathematics. 
650 4 |a Queuing theory. 
650 7 |a MATHEMATICS  |x Probability & Statistics  |x General.  |2 bisacsh 
650 7 |a Difference equations.  |2 fast  |0 (OCoLC)fst00893419 
650 7 |a Differential equations.  |2 fast  |0 (OCoLC)fst00893446 
650 7 |a Queuing theory.  |2 fast  |0 (OCoLC)fst01085713 
650 7 |a Warteschlangentheorie.  |0 (DE-588)4255044-0  |2 gnd 
650 7 |a Differenzengleichung.  |0 (DE-588)4012264-5  |2 gnd 
650 7 |a Differentialgleichung.  |0 (DE-588)4012249-9  |2 gnd 
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  |w (OCoLC)826076159 
856 4 0 |u https://doi.org/10.1002/9781118400678  |z Full Text via HEAL-Link 
994 |a 92  |b DG1 

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