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  • Produktbild: Stochastic Networks and Queues
  • Produktbild: Stochastic Networks and Queues
Band 52

Stochastic Networks and Queues

Aus der Reihe Stochastic Modelling and Applied Probability

Fr. 137.00

inkl. gesetzl. MwSt., Versandkostenfrei

Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

19.10.2010

Abbildungen

XVII, 399 p.

Verlag

Springer Berlin

Seitenzahl

399

Maße (L/B/H)

23.5/15.5/2.3 cm

Gewicht

633 g

Auflage

Softcover reprint of the original 1st edition 2003

Sprache

Englisch

ISBN

978-3-642-05625-3

Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

19.10.2010

Abbildungen

XVII, 399 p.

Verlag

Springer Berlin

Seitenzahl

399

Maße (L/B/H)

23.5/15.5/2.3 cm

Gewicht

633 g

Auflage

Softcover reprint of the original 1st edition 2003

Sprache

Englisch

ISBN

978-3-642-05625-3

Herstelleradresse

Springer-Verlag KG
Sachsenplatz 4-6
1201 Wien
AT

Email: ProductSafety@springernature.com

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  • Produktbild: Stochastic Networks and Queues
  • Produktbild: Stochastic Networks and Queues
  • 1. Point Processes: 1.1 General Definitions; 1.2 Poisson Processes; 1.3 Poisson Point Processes on the Real Line; 1.4 Renewal Point Processes.- 2. The GI/GI/1 FIFO Queue and Random Walks: 2.1 General results on the GI/GI/1 FIFO Queue; 2.2 Wiener-Hopf Factorization; 2.3 Applications to the GI/GI/1 Queue; 2.4 The GI/M/1 and M/GI/1 Queues; 2.5 The H/G/1 Queue; 2.6 A Probabilistic Proof.- 3. Limit Theorems for the GI/GI/1 Queue: 3.1 Introduction; 3.2 The Biased Random Walk; 3.3 The Tail Distribution of W; 3.4 The Maximum of a Busy Period; 3.5 The GI/GI/1 Queue near Saturation; 3.6 The Random Walk Conditioned to Hit Level a.- 4. Stochastic Networks and Reversibility: 4.1 Introduction; 4.2 Reversibility of Markov Processes; 4.3 Local Balance Equations; 4.4 Queueing Networks with Product Form.- 5. The M/M/1 Queue: 5.1 Introduction; 5.2 Exponential Martingales; 5.3 Hitting Times: Downward; 5.4 Convergence to Equilibrium; 5.5 Hitting Times: Upward; 5.6 Rare Events; 5.7 Fluid Limits; 5.8 Large Deviations; 5.9 Appendix.- 6. The M/M/infinity Queue: 6.1 Introduction; 6.2 Positive Martingales; 6.3 Hitting Times: Downward; 6.4 Hitting Times: Upward; 6.5 Fluid Limits; 6.6 A Functional Central Limit Theorem; 6.7 The M/M/N/N Queue; 6.8 Appendix.- 7. Queues with Poisson Arrivals: 7.1 FIFO Queue; 7.2 Infinite Server Queue; 7.3 LIFO Queue with Preemptive Service; 7.4 Processor-Sharing Queue; 7.5 The Insensitivity Property; 7.6 The Distribution Seen by Customers.- 8. Recurrence and Transience of Markov Chains: 8.1 Recurrence of Markov Chains; 8.2 Ergodicity; 8.3 Transience; 8.4 Ergodicity of Markov Processes; 8.5 Some Applications; 8.6 The Classical Version of Lyapunov's Theorem.- 9. Rescaled Markov Processes and Fluid Limits: 9.1 Introduction; 9.2 Rescaled Markov Processes; 9.3 The Fluid Limits of a Class of Markov Processes; 9.4 Fluid Limits and Skorohod Problems; 9.5 Fluid Limits and Ergodicity Properties; 9.6 Fluid Limits and Local Equilibrium; 9.7 Bibliographical Notes.- 10. ErgodicTheory: Basic Results: 10.1 Discrete Dynamical Systems; 10.2 Ergodic Theorems; 10.3 Continuous Time Dynamical Systems; 10.4 Markovian Endomorphisms.- 11. Stationary Point Processes: 11.1 Introduction; 11.2 The Palm Space of the Arrival Process; 11.3 Construction of a Stationary Point Process; 11.4 Relations Between the Palm Space and Its Extension; 11.5 Joint Distribution of the Points Around t=0; 11.6 Some Properties of Stationary Point Processes; 11.7 Appendix.- 12. The G/G/1 FIFO Queue: 12.1 The Waiting Time; 12.2 Virtual Waiting Time; 12.3 The Number of Customers; 12.4 The Associated Stationary Point Processes; 12.5 The Unstable G/G/1 Queue; 12.6 A Queue with Two Servers, the G/G/2 Queue.- A. Martingales: A.1 Discrete Time Parameter Martingales; A.2 Continuous Time Martingales; A.3 The Stochastic Integral for a Poisson Process; A.4 Stochastic Differential Equations with Jumps.- B. Markovian Jump Processes: B.1 Q-Matrices; B.2 Global Balance Equations; B.3 The Associated Martingales.- C. Convergence in Distribution: C.1 The Total Variation Norm on Probability Distributions; C.2 Convergence of Stochastic Processes.- D. An Introduction to Skorohod Problems: D.1 Dimension 1; D.2 Multi-Dimensional Skorohod Problems