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008 130320s2013 nju ob 001 0 eng
010 _a 2013011634
020 _a9781118400647
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020 _a1299648371
020 _z9781118393246
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035 _a(OCoLC)830837653
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_z(OCoLC)864911548
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040 _aDLC
_beng
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049 _aMAIN
050 0 0 _aQA274.8
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072 7 _aMAT
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084 _aMAT029000
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100 1 _aHaghighi, Aliakbar Montazer.
245 1 0 _aDifference and differential equations with applications in queueing theory /
_cAliakbar 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.
_h[electronic resource]
264 1 _aHoboken, New Jersey :
_bJohn Wiley & Sons, Inc.,
_c[2013]
300 _a1 online resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
504 _aIncludes bibliographical references and index.
505 0 _aCover; 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 _a1.10.3. 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 _a3.4. 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 _a3.10. 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 _a4.2. 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 _a5.5.1. Transient Queue Length Distribution for M/M/1.
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"--
_cProvided by publisher.
588 0 _aPrint version record and CIP data provided by publisher.
650 0 _aQueuing theory.
650 0 _aDifference equations.
650 0 _aDifferential equations.
650 4 _aDifference equations.
650 4 _aDifferential equations.
650 4 _aMathematics.
650 4 _aQueuing theory.
650 7 _aMATHEMATICS
_xProbability & Statistics
_xGeneral.
_2bisacsh
650 7 _aDifference equations.
_2fast
_0(OCoLC)fst00893419
650 7 _aDifferential equations.
_2fast
_0(OCoLC)fst00893446
650 7 _aQueuing theory.
_2fast
_0(OCoLC)fst01085713
650 7 _aWarteschlangentheorie.
_0(DE-588)4255044-0
_2gnd
650 7 _aDifferenzengleichung.
_0(DE-588)4012264-5
_2gnd
650 7 _aDifferentialgleichung.
_0(DE-588)4012249-9
_2gnd
655 4 _aElectronic books.
700 1 _aMishev, D. P.
_q(Dimiter P.)
776 0 8 _iPrint version:
_aHaghighi, Aliakbar Montazer.
_tDifference and differential equations with applications in queueing theory.
_dHoboken, New Jersey : John Wiley & Sons, Inc., [2013]
_z9781118393246
_w(DLC) 2013001302
_w(OCoLC)826076159
856 4 0 _uhttp://onlinelibrary.wiley.com/book/10.1002/9781118400678
_zWiley Online Library
942 _2ddc
_cBK
999 _c206589
_d206589