GNEDENKO

Introduction to Queuing Theory

• Broschiertes Buch

Produktbeschreibung

to the Second Edition.- to the First Edition.- 1. Problems of Queueing Theory under the Simplest Assumptions.- 1.1. Simple Streams.- 1.2. Service with Waiting.- 1.3. Birth and Death Processes.- 1.4. Applications of Birth and Death Processes in Queueing Theory.- 1.5. Priority Service.- 1.6. General Principles of Constructing Markov Models of Systems.- 1.7. Systems with Limited Waiting Time.- 1.8. Systems with Bounded Holding Times.- 2. The Study of the Incoming Customer Stream.- 2.1. Some Examples.- 2.2. A Simple Nonstationary Stream.- 2.3. A Property of Stationary Streams.- 2.4. General Form of Stationary Streams without Aftereffects.- 2.5. The Palm-Khinchin Functions.- 2.6. Characteristics of Stationary Streams and the Lebesgue Integral.- 2.7. Basic Renewal Theory.- 2.8. Limit Theorems for Compound Streams.- 2.9. Direct Probabilistic Methods.- 2.10. Limit Theorem for Thinning Streams.- 2.11. Additional Limit Theorems for Thinning Streams.- 3. Some Classes of Stochastic Processes.- 3.1. Kendall's Method: Semi-Markov Processes.- 3.2. Linear-Type Markov Processes.- 3.3. Piecewise-Linear Markov Processes.- 3.4. Other Important Classes of Random Processes.- 4. Semi-Markov Models of Queueing Systems.- 4.1. Classification of Queueing Systems.- 4.2. M?G?1 System.- 4.3. Nonstationary Characteristics of an M G 1 System.- 4.4. A System of the GI?M?m Type.- 4.5. M G 1 System with an Unreliable and "Renewable" Server.- 4.6. Mixed Service Systems.- 4.7. Systems with Restrictions.- 4.8. Priority Service.- 4.9. The Generalized Scheme of Priority Service with a Limited Queue.- 5. Application of More General Methods.- 5.1. The GI?G?1 System.- 5.2. GI?G?m Systems.- 5.3. The M?G?m?0 System.- 5.4. More Complex Systems with Losses.- 5.5. Ergodic Theorems.- 5.6.Heavily Loaded Queueing Systems.- 5.7. Underloaded Queueing Systems.- 5.8. Little's Theory and its Corollaries.- 6. Statistical Simulation of Systems.- 6.1. Principles of the Monte Carlo Method.- 6.2. Simulation of Some Classes of Random Processes.- 6.3. Statistical Problems Associated with Simulation.- 6.4. Simulation of Queueing Systems.- 6.5. Calculation of Corrections to Characteristics of Systems.

Produktdetails

• Mathematical Modeling 5
• Verlag: Birkhäuser / Birkhäuser Boston / Springer, Basel
• Artikelnr. des Verlages: 978-0-8176-3423-0
• 2. Aufl.
• Seitenzahl: 332
• Erscheinungstermin: 1. November 1989
• Englisch
• Abmessung: 235mm x 155mm x 19mm
• Gewicht: 615g
• ISBN-13: 9780817634230
• ISBN-10: 0817634231
• Artikelnr.: 27450533

Autorenporträt

Prof. Dr. B.W. Gnedenko galt als einer der führenden russischen Spezialisten auf dem Gebiet der Wahrscheinlichkeitstheorie. Seine Arbeiten zur Wahrscheinlichkeitstheorie, zur mathematischen Statistik und zur Mathematikgeschichte leisteten einen wichtigen Beitrag zur Entwicklung dieser Gebiete.
Während einer Gastprofessur des Autors an der Humboldt-Universität Berlin entstand der Kontakt zu Prof. Dr. H.-J. Roßberg, der für die Herausgabe der deutschen Ausgabe des bewährten Standardwerkes verantwortlich ist.

Inhaltsangabe

to the Second Edition.- to the First Edition.- 1. Problems of Queueing Theory under the Simplest Assumptions.- 1.1. Simple Streams.- 1.2. Service with Waiting.- 1.3. Birth and Death Processes.- 1.4. Applications of Birth and Death Processes in Queueing Theory.- 1.5. Priority Service.- 1.6. General Principles of Constructing Markov Models of Systems.- 1.7. Systems with Limited Waiting Time.- 1.8. Systems with Bounded Holding Times.- 2. The Study of the Incoming Customer Stream.- 2.1. Some Examples.- 2.2. A Simple Nonstationary Stream.- 2.3. A Property of Stationary Streams.- 2.4. General Form of Stationary Streams without Aftereffects.- 2.5. The Palm-Khinchin Functions.- 2.6. Characteristics of Stationary Streams and the Lebesgue Integral.- 2.7. Basic Renewal Theory.- 2.8. Limit Theorems for Compound Streams.- 2.9. Direct Probabilistic Methods.- 2.10. Limit Theorem for Thinning Streams.- 2.11. Additional Limit Theorems for Thinning Streams.- 3. Some Classes of Stochastic Processes.- 3.1. Kendall's Method: Semi-Markov Processes.- 3.2. Linear-Type Markov Processes.- 3.3. Piecewise-Linear Markov Processes.- 3.4. Other Important Classes of Random Processes.- 4. Semi-Markov Models of Queueing Systems.- 4.1. Classification of Queueing Systems.- 4.2. M?G?1 System.- 4.3. Nonstationary Characteristics of an M G 1 System.- 4.4. A System of the GI?M?m Type.- 4.5. M G 1 System with an Unreliable and "Renewable" Server.- 4.6. Mixed Service Systems.- 4.7. Systems with Restrictions.- 4.8. Priority Service.- 4.9. The Generalized Scheme of Priority Service with a Limited Queue.- 5. Application of More General Methods.- 5.1. The GI?G?1 System.- 5.2. GI?G?m Systems.- 5.3. The M?G?m?0 System.- 5.4. More Complex Systems with Losses.- 5.5. Ergodic Theorems.- 5.6.Heavily Loaded Queueing Systems.- 5.7. Underloaded Queueing Systems.- 5.8. Little's Theory and its Corollaries.- 6. Statistical Simulation of Systems.- 6.1. Principles of the Monte Carlo Method.- 6.2. Simulation of Some Classes of Random Processes.- 6.3. Statistical Problems Associated with Simulation.- 6.4. Simulation of Queueing Systems.- 6.5. Calculation of Corrections to Characteristics of Systems.