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Delayed and network queues /
Presents an introduction to differential equations, probability, and stochastic processes with real-world applications of queues with delay and delayed network queues Featuring recent advances in queueing theory and modeling, Delayed and Network Queues provides the most up-to-date theories in queuei...
| Clasificación: | Libro Electrónico |
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| Autores principales: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Hoboken, New Jersey :
John Wiley & Sons,
2016.
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| Temas: | |
| Acceso en línea: | Texto completo (Requiere registro previo con correo institucional) |
Tabla de Contenidos:
- 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.