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MARC Lista (tabellare)
Advanced mathematics for engineers with applications in stochastic processes [[electronic resource] /] / Aliakbar Montazer Haghighi, Jian-ao Lian, and Dimitar P. Mishev
Advanced mathematics for engineers with applications in stochastic processes [[electronic resource] /] / Aliakbar Montazer Haghighi, Jian-ao Lian, and Dimitar P. Mishev
Autore Haghighi Aliakbar Montazer
Edizione [Rev. ed.]
Pubbl/distr/stampa New York, : Nova Science Publishers, Inc., 2011, c2010
Descrizione fisica 1 online resource (568 p.)
Disciplina 510
Altri autori (Persone) LianJian-ao
MishevD. P (Dimiter P.)
Collana Mathematics research developments
Soggetto topico Functions of several complex variables
Stochastic analysis
Soggetto genere / forma Electronic books.
ISBN 1-62417-681-X
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910453211603321
Haghighi Aliakbar Montazer  
New York, : Nova Science Publishers, Inc., 2011, c2010
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Advanced mathematics for engineers with applications in stochastic processes [[electronic resource] /] / Aliakbar Montazer Haghighi, Jian-ao Lian, and Dimitar P. Mishev
Advanced mathematics for engineers with applications in stochastic processes [[electronic resource] /] / Aliakbar Montazer Haghighi, Jian-ao Lian, and Dimitar P. Mishev
Autore Haghighi Aliakbar Montazer
Edizione [Rev. ed.]
Pubbl/distr/stampa New York, : Nova Science Publishers, Inc., 2011, c2010
Descrizione fisica 1 online resource (568 p.)
Disciplina 510
Altri autori (Persone) LianJian-ao
MishevD. P (Dimiter P.)
Collana Mathematics research developments
Soggetto topico Functions of several complex variables
Stochastic analysis
ISBN 1-62417-681-X
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910779785203321
Haghighi Aliakbar Montazer  
New York, : Nova Science Publishers, Inc., 2011, c2010
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Advanced mathematics for engineers with applications in stochastic processes [[electronic resource] /] / Aliakbar Montazer Haghighi, Jian-ao Lian, and Dimitar P. Mishev
Advanced mathematics for engineers with applications in stochastic processes [[electronic resource] /] / Aliakbar Montazer Haghighi, Jian-ao Lian, and Dimitar P. Mishev
Autore Haghighi Aliakbar Montazer
Edizione [Rev. ed.]
Pubbl/distr/stampa New York, : Nova Science Publishers, Inc., 2011, c2010
Descrizione fisica 1 online resource (568 p.)
Disciplina 510
Altri autori (Persone) LianJian-ao
MishevD. P (Dimiter P.)
Collana Mathematics research developments
Soggetto topico Functions of several complex variables
Stochastic analysis
ISBN 1-62417-681-X
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910827620203321
Haghighi Aliakbar Montazer  
New York, : Nova Science Publishers, Inc., 2011, c2010
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Delayed and network queues / / Aliakbar Montazer Haghighi, Prairie View A&M University, member of Texas A&M University System, Prairie View, Texas, USA, Dimitar P. Mishev, Prairie View A&M University, member of Texas A&M University System, Prairie View, Texas
Delayed and network queues / / Aliakbar Montazer Haghighi, Prairie View A&M University, member of Texas A&M University System, Prairie View, Texas, USA, Dimitar P. Mishev, Prairie View A&M University, member of Texas A&M University System, Prairie View, Texas
Autore Haghighi Aliakbar Montazer
Edizione [1st edition]
Pubbl/distr/stampa Hoboken, New Jersey : , : John Wiley & Sons, , [2016]
Descrizione fisica 1 online resource (417 p.)
Disciplina 004.601/51982
Soggetto topico Routing (Computer network management) - Mathematics
Computer networks - Mathematical models
Telecommunication - Traffic
Queuing networks (Data transmission)
Soggetto genere / forma Electronic books.
ISBN 1-119-02214-2
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Cover; Title Page; Copyright; Dedication; Contents; Preface; Chapter 1 Preliminaries; 1.1 Basics of Probability; 1.1.1 Introduction; 1.1.2 Conditional Probability; 1.2 Discrete Random Variables and Distributions; 1.3 Discrete Moments; 1.4 Continuous Random Variables, Density, and Cumulative Distribution Functions; 1.5 Continuous Random Vector; 1.6 Functions of Random Variables; 1.7 Continuous Moments; 1.8 Difference Equations; 1.8.1 Introduction; 1.8.2 Basic Definitions and Properties; 1.9 Methods of Solving Linear Difference Equations with Constant Coefficients
1.9.1 Characteristic Equation Method1.9.2 Recursive Method; 1.9.3 Generating Function Method; 1.9.4 Laplace Transform Method; Exercises; Chapter 2 Stochastic Processes; 2.1 Introduction and Basic Definitions; 2.2 Markov Chain; 2.2.1 Classification of States; 2.3 Markov Process; 2.3.1 Markov Process with Discrete Space State; 2.4 Random Walk; 2.5 Up-and-Down Biased Coin Design as a Random Walk; Exercises; Chapter 3 Birth and Death Processes; 3.1 Overviews of the Birth and Death Processes; 3.2 Finite B-D Process; 3.3 Pure Birth Process (Poisson Process)
3.4 Pure Death Process (Poisson Death Process)Exercises; Chapter 4 Standard Queues; 4.1 Introduction of Queues (General Birth and Death Process); 4.1.1 Mechanism, Characteristics, and Types of Queues; 4.2 Remarks on Non-Markovian Queues; 4.2.1 Takács's Waiting Time Paradox; 4.2.2 Virtual Waiting Time and Takács's Integro-Differential Equation; 4.2.3 The Unfinished Work; 4.3 Stationary M/M/1 Queueing Process; 4.4 A Parallel M/M/C/K with Baking and Reneging; 4.5 Stationary M/M/1/K Queueing Process; 4.6 Busy Period of an M/M/1/K Queue
4.7 Stationary M/M/1 and M/M/1/K Queueing Processes with Feedback4.7.1 Stationary Distribution of the Sojourn Time of a Task; 4.7.2 Distribution of the Total Time of Service by a Task; 4.7.3 Stationary Distribution of the Feedback Queue Size; 4.7.4 Stationary Distribution of n (Sojourn Time of the nth task); 4.8 Queues with Bulk Arrivals and Batch Service; 4.9 A Priority Queue with Balking and Reneging; 4.10 Discrete Time M/M/1 Queueing Process, Combinatorics Method (Lattice Paths); 4.10.1 The Basic Ballot Problem; 4.10.2 Ballot Problem (based on Takács 1997)
4.10.3 Transient Solution of the M/M/1 by Lattice Path Method4.11 Stationary M/M/C Queueing Process; 4.11.1 A Stationary Multiserver Queue; Exercises; Chapter 5 Queues With Delay; 5.1 Introduction; 5.2 A Queuing System with Delayed Service; 5.3 An M/G/1 Queue with Server Breakdown and with Multiple Working Vacation; 5.3.1 Mathematical Formulation of the Model; 5.3.2 Steady-State Mean Number of Tasks in the System; 5.3.3 A Special Case; 5.4 A Bulk Queuing System Under N-Policy with Bilevel Service Delay Discipline and Start-Up Time; 5.4.1 Analysis of the Model
5.5 Interrelationship between N-Policy M/G/1/K and F-Policy G/M/1/K Queues with Start-up Time
Record Nr. UNINA-9910466077403321
Haghighi Aliakbar Montazer  
Hoboken, New Jersey : , : John Wiley & Sons, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Delayed and Network Queues
Delayed and Network Queues
Autore Haghighi Aliakbar Montazer
Edizione [1st ed.]
Pubbl/distr/stampa Newark : , : John Wiley & Sons, Incorporated, , 2016
Descrizione fisica 1 online resource (417 pages)
Disciplina 004.60151982
Altri autori (Persone) MishevDimitar P
Soggetto topico Routing (Computer network management)--Mathematics
Soggetto genere / forma Electronic books.
ISBN 9781119022145
9781119022138
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Cover -- Title Page -- Copyright -- Dedication -- Contents -- Preface -- Chapter 1 Preliminaries -- 1.1 Basics of Probability -- 1.1.1 Introduction -- 1.1.2 Conditional Probability -- 1.2 Discrete Random Variables and Distributions -- 1.3 Discrete Moments -- 1.4 Continuous Random Variables, Density, and Cumulative Distribution Functions -- 1.5 Continuous Random Vector -- 1.6 Functions of Random Variables -- 1.7 Continuous Moments -- 1.8 Difference Equations -- 1.8.1 Introduction -- 1.8.2 Basic Definitions and Properties -- 1.9 Methods of Solving Linear Difference Equations with Constant Coefficients -- 1.9.1 Characteristic Equation Method -- 1.9.2 Recursive Method -- 1.9.3 Generating Function Method -- 1.9.4 Laplace Transform Method -- Exercises -- Chapter 2 Stochastic Processes -- 2.1 Introduction and Basic Definitions -- 2.2 Markov Chain -- 2.2.1 Classification of States -- 2.3 Markov Process -- 2.3.1 Markov Process with Discrete Space State -- 2.4 Random Walk -- 2.5 Up-and-Down Biased Coin Design as a Random Walk -- Exercises -- Chapter 3 Birth and Death Processes -- 3.1 Overviews of the Birth and Death Processes -- 3.2 Finite B-D Process -- 3.3 Pure Birth Process (Poisson Process) -- 3.4 Pure Death Process (Poisson Death Process) -- Exercises -- Chapter 4 Standard Queues -- 4.1 Introduction of Queues (General Birth and Death Process) -- 4.1.1 Mechanism, Characteristics, and Types of Queues -- 4.2 Remarks on Non-Markovian Queues -- 4.2.1 Takács's Waiting Time Paradox -- 4.2.2 Virtual Waiting Time and Takács's Integro-Differential Equation -- 4.2.3 The Unfinished Work -- 4.3 Stationary M/M/1 Queueing Process -- 4.4 A Parallel M/M/C/K with Baking and Reneging -- 4.5 Stationary M/M/1/K Queueing Process -- 4.6 Busy Period of an M/M/1/K Queue -- 4.7 Stationary M/M/1 and M/M/1/K Queueing Processes with Feedback.
4.7.1 Stationary Distribution of the Sojourn Time of a Task -- 4.7.2 Distribution of the Total Time of Service by a Task -- 4.7.3 Stationary Distribution of the Feedback Queue Size -- 4.7.4 Stationary Distribution of n (Sojourn Time of the nth task) -- 4.8 Queues with Bulk Arrivals and Batch Service -- 4.9 A Priority Queue with Balking and Reneging -- 4.10 Discrete Time M/M/1 Queueing Process, Combinatorics Method (Lattice Paths) -- 4.10.1 The Basic Ballot Problem -- 4.10.2 Ballot Problem (based on Takács 1997) -- 4.10.3 Transient Solution of the M/M/1 by Lattice Path Method -- 4.11 Stationary M/M/C Queueing Process -- 4.11.1 A Stationary Multiserver Queue -- Exercises -- Chapter 5 Queues With Delay -- 5.1 Introduction -- 5.2 A Queuing System with Delayed Service -- 5.3 An M/G/1 Queue with Server Breakdown and with Multiple Working Vacation -- 5.3.1 Mathematical Formulation of the Model -- 5.3.2 Steady-State Mean Number of Tasks in the System -- 5.3.3 A Special Case -- 5.4 A Bulk Queuing System Under N-Policy with Bilevel Service Delay Discipline and Start-Up Time -- 5.4.1 Analysis of the Model -- 5.5 Interrelationship between N-Policy M/G/1/K and F-Policy G/M/1/K Queues with Start-up Time -- 5.5.1 N-Policy M/G/1/K Queuing System with Exponential Start-up Time -- 5.5.2 F-Policy G/E/1/K Queuing System with Exponential Start-up Time -- 5.6 A Transient M/M/1 Queue Under (M, N)-Policy, Lattice Path Method -- 5.6.1 Solution in Discrete Time -- 5.6.2 Solution in Continuous Time -- 5.7 Stationary M/M/1 Queuing Process with Delayed Feedback -- 5.7.1 Distribution of the Queue Length -- 5.7.2 Mean Queue Length and Waiting Time -- 5.8 Single-Server Queue with Unreliable Server and Breakdowns with an Optional Second Service -- 5.9 A Bulk Arrival Retrial Queue with Unreliable Server -- 5.9.1 The Model -- 5.9.2 Model Analysis -- 5.9.3 Steady-State System Analysis.
5.9.4 Performance Measures -- 5.9.5 Numerical Illustration -- 5.10 Multiserver Queue with Retrial Feedback Queuing System with Two Orbits -- 5.11 Steady-State Stability Condition of a Retrial Queuing System with Two Orbits, Reneging, and Feedback -- 5.11.1 Necessary Stability Condition for the Steady-State System -- 5.12 Batch Arrival Queue with General Service in Two Fluctuating Modes and Reneging During Vacation and Breakdowns -- 5.12.1 The Model -- 5.12.2 Analysis -- Exercises -- Chapter 6 Networks of Queues with Delay -- 6.1 Introduction to Networks of Queues -- 6.2 Historical Notes on Networks of Queues -- 6.3 Jackson's Network of Queues -- 6.3.1 Jackson's Model -- 6.4 Robustness of Networks of Queues -- 6.5 A MAP Single-Server Queueing System with Delayed Feedback as a Network of Queues -- 6.5.1 Description of the Model -- 6.5.2 Service Station -- 6.5.3 Stepwise Explicit Joint Distribution of the Number of Tasks in the System: General Case When Batch Sizes Vary Between a Minimum k and a Maximum K -- 6.6 Unreliable Networks of Queueing System Models -- 6.6.1 Unreliable Network Model of Goodman and Massey -- 6.6.2 Unreliable Network of Queues Model of Mylosz and Daduna -- 6.6.3 Unreliable Network of Queues Model of Gautam Choudhury, Jau-Chuan Ke, and Lotfi Tadj: A Queueing System with Two Network Phases of Services, Unreliable Server, Repair Time Delay under N-Policy -- 6.7 Assessment of Reliability of a Network of Queues -- 6.8 Effect of Network Service Breakdown -- 6.8.1 The Model (CoginfoCom System) -- 6.8.2 Analysis -- 6.8.3 Numerical Example -- Exercises -- References -- Index -- EULA.
Record Nr. UNINA-9910795987803321
Haghighi Aliakbar Montazer  
Newark : , : John Wiley & Sons, Incorporated, , 2016
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Delayed and Network Queues
Delayed and Network Queues
Autore Haghighi Aliakbar Montazer
Edizione [1st ed.]
Pubbl/distr/stampa Newark : , : John Wiley & Sons, Incorporated, , 2016
Descrizione fisica 1 online resource (417 pages)
Disciplina 004.60151982
Altri autori (Persone) MishevDimitar P
Soggetto topico Routing (Computer network management)--Mathematics
ISBN 9781119022145
9781119022138
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Cover -- Title Page -- Copyright -- Dedication -- Contents -- Preface -- Chapter 1 Preliminaries -- 1.1 Basics of Probability -- 1.1.1 Introduction -- 1.1.2 Conditional Probability -- 1.2 Discrete Random Variables and Distributions -- 1.3 Discrete Moments -- 1.4 Continuous Random Variables, Density, and Cumulative Distribution Functions -- 1.5 Continuous Random Vector -- 1.6 Functions of Random Variables -- 1.7 Continuous Moments -- 1.8 Difference Equations -- 1.8.1 Introduction -- 1.8.2 Basic Definitions and Properties -- 1.9 Methods of Solving Linear Difference Equations with Constant Coefficients -- 1.9.1 Characteristic Equation Method -- 1.9.2 Recursive Method -- 1.9.3 Generating Function Method -- 1.9.4 Laplace Transform Method -- Exercises -- Chapter 2 Stochastic Processes -- 2.1 Introduction and Basic Definitions -- 2.2 Markov Chain -- 2.2.1 Classification of States -- 2.3 Markov Process -- 2.3.1 Markov Process with Discrete Space State -- 2.4 Random Walk -- 2.5 Up-and-Down Biased Coin Design as a Random Walk -- Exercises -- Chapter 3 Birth and Death Processes -- 3.1 Overviews of the Birth and Death Processes -- 3.2 Finite B-D Process -- 3.3 Pure Birth Process (Poisson Process) -- 3.4 Pure Death Process (Poisson Death Process) -- Exercises -- Chapter 4 Standard Queues -- 4.1 Introduction of Queues (General Birth and Death Process) -- 4.1.1 Mechanism, Characteristics, and Types of Queues -- 4.2 Remarks on Non-Markovian Queues -- 4.2.1 Takács's Waiting Time Paradox -- 4.2.2 Virtual Waiting Time and Takács's Integro-Differential Equation -- 4.2.3 The Unfinished Work -- 4.3 Stationary M/M/1 Queueing Process -- 4.4 A Parallel M/M/C/K with Baking and Reneging -- 4.5 Stationary M/M/1/K Queueing Process -- 4.6 Busy Period of an M/M/1/K Queue -- 4.7 Stationary M/M/1 and M/M/1/K Queueing Processes with Feedback.
4.7.1 Stationary Distribution of the Sojourn Time of a Task -- 4.7.2 Distribution of the Total Time of Service by a Task -- 4.7.3 Stationary Distribution of the Feedback Queue Size -- 4.7.4 Stationary Distribution of n (Sojourn Time of the nth task) -- 4.8 Queues with Bulk Arrivals and Batch Service -- 4.9 A Priority Queue with Balking and Reneging -- 4.10 Discrete Time M/M/1 Queueing Process, Combinatorics Method (Lattice Paths) -- 4.10.1 The Basic Ballot Problem -- 4.10.2 Ballot Problem (based on Takács 1997) -- 4.10.3 Transient Solution of the M/M/1 by Lattice Path Method -- 4.11 Stationary M/M/C Queueing Process -- 4.11.1 A Stationary Multiserver Queue -- Exercises -- Chapter 5 Queues With Delay -- 5.1 Introduction -- 5.2 A Queuing System with Delayed Service -- 5.3 An M/G/1 Queue with Server Breakdown and with Multiple Working Vacation -- 5.3.1 Mathematical Formulation of the Model -- 5.3.2 Steady-State Mean Number of Tasks in the System -- 5.3.3 A Special Case -- 5.4 A Bulk Queuing System Under N-Policy with Bilevel Service Delay Discipline and Start-Up Time -- 5.4.1 Analysis of the Model -- 5.5 Interrelationship between N-Policy M/G/1/K and F-Policy G/M/1/K Queues with Start-up Time -- 5.5.1 N-Policy M/G/1/K Queuing System with Exponential Start-up Time -- 5.5.2 F-Policy G/E/1/K Queuing System with Exponential Start-up Time -- 5.6 A Transient M/M/1 Queue Under (M, N)-Policy, Lattice Path Method -- 5.6.1 Solution in Discrete Time -- 5.6.2 Solution in Continuous Time -- 5.7 Stationary M/M/1 Queuing Process with Delayed Feedback -- 5.7.1 Distribution of the Queue Length -- 5.7.2 Mean Queue Length and Waiting Time -- 5.8 Single-Server Queue with Unreliable Server and Breakdowns with an Optional Second Service -- 5.9 A Bulk Arrival Retrial Queue with Unreliable Server -- 5.9.1 The Model -- 5.9.2 Model Analysis -- 5.9.3 Steady-State System Analysis.
5.9.4 Performance Measures -- 5.9.5 Numerical Illustration -- 5.10 Multiserver Queue with Retrial Feedback Queuing System with Two Orbits -- 5.11 Steady-State Stability Condition of a Retrial Queuing System with Two Orbits, Reneging, and Feedback -- 5.11.1 Necessary Stability Condition for the Steady-State System -- 5.12 Batch Arrival Queue with General Service in Two Fluctuating Modes and Reneging During Vacation and Breakdowns -- 5.12.1 The Model -- 5.12.2 Analysis -- Exercises -- Chapter 6 Networks of Queues with Delay -- 6.1 Introduction to Networks of Queues -- 6.2 Historical Notes on Networks of Queues -- 6.3 Jackson's Network of Queues -- 6.3.1 Jackson's Model -- 6.4 Robustness of Networks of Queues -- 6.5 A MAP Single-Server Queueing System with Delayed Feedback as a Network of Queues -- 6.5.1 Description of the Model -- 6.5.2 Service Station -- 6.5.3 Stepwise Explicit Joint Distribution of the Number of Tasks in the System: General Case When Batch Sizes Vary Between a Minimum k and a Maximum K -- 6.6 Unreliable Networks of Queueing System Models -- 6.6.1 Unreliable Network Model of Goodman and Massey -- 6.6.2 Unreliable Network of Queues Model of Mylosz and Daduna -- 6.6.3 Unreliable Network of Queues Model of Gautam Choudhury, Jau-Chuan Ke, and Lotfi Tadj: A Queueing System with Two Network Phases of Services, Unreliable Server, Repair Time Delay under N-Policy -- 6.7 Assessment of Reliability of a Network of Queues -- 6.8 Effect of Network Service Breakdown -- 6.8.1 The Model (CoginfoCom System) -- 6.8.2 Analysis -- 6.8.3 Numerical Example -- Exercises -- References -- Index -- EULA.
Record Nr. UNINA-9910821282003321
Haghighi Aliakbar Montazer  
Newark : , : John Wiley & Sons, Incorporated, , 2016
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Difference and differential equations with applications in queueing theory [[electronic resource] /] / Aliakbar M. Haghighi, Dimitar P. Mishev
Difference and differential equations with applications in queueing theory [[electronic resource] /] / Aliakbar M. Haghighi, Dimitar P. Mishev
Autore Haghighi Aliakbar Montazer
Pubbl/distr/stampa Hoboken, NJ, : John Wiley & Sons, Inc., c2013
Descrizione fisica 1 online resource (420 p.)
Disciplina 519.8/2
Altri autori (Persone) MishevD. P (Dimiter P.)
Soggetto topico Difference equations
Differential equations
Queuing theory
ISBN 1-118-40067-4
1-118-40065-8
1-118-40064-X
Classificazione MAT029000
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto 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 Equations3.4.1. 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
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
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
5.5.1. Transient Queue Length Distribution for M/M/1
Record Nr. UNINA-9910139250203321
Haghighi Aliakbar Montazer  
Hoboken, NJ, : John Wiley & Sons, Inc., c2013
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Difference and differential equations with applications in queueing theory / / Aliakbar M. Haghighi, Dimitar P. Mishev
Difference and differential equations with applications in queueing theory / / Aliakbar M. Haghighi, Dimitar P. Mishev
Autore Haghighi Aliakbar Montazer
Edizione [1st ed.]
Pubbl/distr/stampa Hoboken, NJ, : John Wiley & Sons, Inc., c2013
Descrizione fisica 1 online resource (420 p.)
Disciplina 519.8/2
Altri autori (Persone) MishevD. P (Dimiter P.)
Soggetto topico Difference equations
Differential equations
Queuing theory
ISBN 1-118-40067-4
1-118-40065-8
1-118-40064-X
Classificazione MAT029000
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto 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 Equations3.4.1. 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
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
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
5.5.1. Transient Queue Length Distribution for M/M/1
Record Nr. UNINA-9910815790703321
Haghighi Aliakbar Montazer  
Hoboken, NJ, : John Wiley & Sons, Inc., c2013
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Higher Mathematics for Science and Engineering / / by Aliakbar Montazer Haghighi, Abburi Anil Kumar, Dimitar P. Mishev
Higher Mathematics for Science and Engineering / / by Aliakbar Montazer Haghighi, Abburi Anil Kumar, Dimitar P. Mishev
Autore Haghighi Aliakbar Montazer
Edizione [1st ed. 2024.]
Pubbl/distr/stampa Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2024
Descrizione fisica 1 online resource (682 pages)
Disciplina 510
Altri autori (Persone) KumarAbburi Anil
MishevDimitar P
Soggetto topico Engineering mathematics
Mathematics
Mathematical physics
Chemometrics
Engineering Mathematics
General Mathematics
Mathematical Physics
Mathematical Applications in Chemistry
ISBN 981-9954-31-2
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Preliminaries -- Linear Algebra and Vector Space -- Calculus with functions of Multivariables -- Theory of Complex Variables -- Transforms -- Ordinary and Partial Differential Equations -- Difference Equations -- Optimization -- Probability -- Statistics -- Reliability -- Applications.
Record Nr. UNINA-9910845500403321
Haghighi Aliakbar Montazer  
Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2024
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui