Introduction to Queueing Networks: Theory ∩ Practice

✍ Scribed by J. MacGregor Smith

• Publisher: Springer International Publishing
• Year: 2018
• Tongue: English
• Leaves: 579
• Series: Springer Series in Operations Research and Financial Engineering
• Edition: 1st ed.
• Category: Library

✦ Synopsis

The book examines the performance and optimization of systems where queueing and congestion are important constructs. Both finite and infinite queueing systems are examined. Many examples and case studies are utilized to indicate the breadth and depth of the queueing systems and their range of applicability. Blocking of these processes is very important and the book shows how to deal with this problem in an effective way and not only compute the performance measures of throughput, cycle times, and WIP but also to optimize the resources within these systems.

The book is aimed at advanced undergraduate, graduate, and professionals and academics interested in network design, queueing performance models and their optimization. It assumes that the audience is fairly sophisticated in their mathematical understanding, although the explanations of the topics within the book are fairly detailed.

✦ Table of Contents

Front Matter ....Pages i-xxv
Introduction G(V, E) (J. MacGregor Smith)....Pages 1-36
Problem Overview (\varOmega {\bigl (G(V,E)\bigr )}) (J. MacGregor Smith)....Pages 37-64
Mathematical Models and Properties of Queues G(V) (J. MacGregor Smith)....Pages 65-131
Transportation and Loss Queues G(E) (J. MacGregor Smith)....Pages 133-180
Open Queueing Network Algorithms (f{\bigl (G(V,E)\bigr )}) (J. MacGregor Smith)....Pages 181-259
Closed Queueing Network Performance Models (f{\bigl (G(V,E,N)\bigr )}) (J. MacGregor Smith)....Pages 261-329
Optimal Resource Allocation Problems (ORAP) G(V∗) in TND (J. MacGregor Smith)....Pages 331-396
Optimal Routing Problems (ORTE) G(E∗) in TND (J. MacGregor Smith)....Pages 397-459
Optimal Topology Problems (OTOP) G(V, E)∗ in TND (J. MacGregor Smith)....Pages 461-526
Final Coda (J. MacGregor Smith)....Pages 527-533
Back Matter ....Pages 535-562

✦ Subjects

Mathematics; Mathematical Modeling and Industrial Mathematics; Simulation and Modeling; Transportation Technology and Traffic Engineering