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Fundamentals of queueing theory

By: Contributor(s): Material type: TextTextSeries: Wiley series in probability and statisticsPublication details: New Delhi Wiley 2014Edition: 4th edDescription: xiii, 500 pISBN:
  • 9788126534067
Subject(s): DDC classification:
  • 519.82 G7F8
Summary: This revised and expanded edition of Fundamentals of Queueing Theory presents the analytic modeling of queues using up-to-date examples. Though the detailed coverage of the fundamentals of analytic modeling remains virtually the same, this new edition contains additional material (call centers and simulation), discussions (Transform Approximation Method and Level Crossing Analysis), and exercises. A fresh emphasis on the telecommunications boom enlivens the text, and spreadsheet programs for Excel and Quattro on the book's related Web site aids in understanding the sensitivity of waiting-line systems to parameter and environmental changes. Software programs for additional systems are spread throughout the text. In the treatment of the advanced material, the authors have commingled mathematical details with numerical results and intuitive arguments. (http://www.wileyindia.com/fundamentals-of-queueing-theory-4th-ed.html)
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Item type Current library Item location Collection Shelving location Call number Status Date due Barcode
Books Vikram Sarabhai Library Rack 33-A / Slot 1685 (2nd Floor, East Wing) Non-fiction General Stacks 519.82 G7F8 (Browse shelf(Opens below)) Available 190877

Table of Contents:


INTRODUCTION.

• Description of the Queueing Problem.
• Characteristics of Queueing Processes.
• Notation.
• Measuring System Performance.
• Some General Results.
• Simple Data Bookkeeping for Queues.
• Poisson Process and the Exponential Distribution.
• Markovian Property of the Exponential Distribution.
• Stochastic Processes and Markov Chains
• Problems.

SIMPLE MARKOVIAN QUEUEING MODELS.

• Birth Death Processes.
• Single-Server Queues (M/M/1).
• Multi-Server Queues (M/M/c).
• Choosing the Number of Servers.
• Queues with Truncation (M/M/c/K).
• Erlang?s Loss Formula (M/M/c/c).
• Queues with Unlimited Service (M/M/1).
• Finite Source Queues.
• State-Dependent Service.
• Queues with Impatience.
• Transient Behavior.
• Busy-Period Analysis.
• Problems.

ADVANCED MARKOVIAN QUEUEING MODELS.

• Bulk Input (M[X]/M/1).
• Bulk Service (M/M[Y ]/1).
• Erlangian Models.
• Priority Queue Disciplines.
• Retrial Queues.
• Problems.


NETWORKS, SERIES, AND CYCLIC QUEUES.

• Series Queues.
• Open Jackson Networks.
• Closed Jackson Networks.
• Cyclic Queues.
• Extensions of Jackson Networks.
• Non-Jackson Networks.
• Problems.

GENERAL ARRIVAL OR SERVICE PATTERNS.

• General Service, Single Server (M/G/1).
• General Service, Multi-Server (M/G/c/ú, M/G/1).
• General Input (G/M/1, G/M/c).
• Problems.

MORE GENERAL MODELS AND THEORETICAL TOPICS
.
• G/Ek/1, G[k]/M/1, and G/PHk/1.
• General Input, General Service (G/G/1) .
• Multichannel Queues with Poisson Input and Constant Service (M/D/c).
• Semi-Markov and Markov Renewal Processes in Queueing.
• Other Queue Disciplines.
• Design and Control of Queues.
• Statistical Inference in Queueing.
• Problems

BOUNDS AND APPROXIMATIONS.

• Bounds.
• Approximations.
• Network Approximations.
• Problems.

NUMERICAL TECHNIQUES AND SIMULATION.

• Numerical Techniques.
• Numerical Inversion of Transforms.
• Discrete-Event Stochastic Simulation.
• Problems.


This revised and expanded edition of Fundamentals of Queueing Theory presents the analytic modeling of queues using up-to-date examples. Though the detailed coverage of the fundamentals of analytic modeling remains virtually the same, this new edition contains additional material (call centers and simulation), discussions (Transform Approximation Method and Level Crossing Analysis), and exercises. A fresh emphasis on the telecommunications boom enlivens the text, and spreadsheet programs for Excel and Quattro on the book's related Web site aids in understanding the sensitivity of waiting-line systems to parameter and environmental changes. Software programs for additional systems are spread throughout the text. In the treatment of the advanced material, the authors have commingled mathematical details with numerical results and intuitive arguments.



(http://www.wileyindia.com/fundamentals-of-queueing-theory-4th-ed.html)

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