Fundamentals of Queueing Networks

Performance, Asymptotics, and Optimization
2001
ISBN: 978-0-387-95166-9
Verlag: Springer

Buch, Englisch, Band 46, 406 Seiten, HC runder Rücken kaschiert, Format (B × H): 160 mm x 241 mm, Gewicht: 1710 g

Reihe: Stochastic Modelling and Applied Probability

The objective of this book is to collect in a single volume the essentials of stochastic networks, from the classical product-form theory to the more re­ cent developments such as diffusion and fluid limits, stochastic comparisons, stability, control (dynamic scheduling) and optimization. The selection of materials inevitably is a reflection upon our bias and preference, but it is also driven to a large extent by our desire to provide a graduate-level text that is well balanced in breadth and depth, suitable for the classroom. Given the wide-ranging applications of stochastic networks in recent years, from supply chains to telecommunications, it is also our hope that the book will serve as a useful reference for researchers and students alike in these diverse fields. The book consists of three parts. The first part, Chapters 1 through 4, covers (continuous-time) Markov-chain models, including the classical Jackson and Kelly networks, the notion of quasi-reversible queues, and stochastic comparisons. The second part, Chapters 5 through 10, focuses on Brownian models, including limit theorems for generalized Jackson net­ works and multiclass feedforward networks, an in-depth examination of stability in a Kumar-Seidman network, and Brownian approximations for general multiclass networks with a mixture of priority and first-in-first-out disciplines. The third part, Chapters 11 and 12, discusses scheduling in both queueing (stochastic) and fluid (deterministic) networks, along with topics such as conservation laws, polymatroid optimization, and linear pro­ gramming.

Zielgruppe

Graduate

Autoren/Hrsg.

Yao, David D.

Chen, Hong

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik EDV | Informatik Computerkommunikation & -vernetzung
• Mathematik | Informatik Mathematik Operations Research
• Technische Wissenschaften Elektronik | Nachrichtentechnik Nachrichten- und Kommunikationstechnik
• Mathematik | Informatik Mathematik Stochastik Stochastische Prozesse

Inhaltsverzeichnis

1 Birth—Death Queues.- 2 Jackson Networks.- 3 Stochastic Comparisons.- 4 Kelly Networks.- 5 Technical Desiderata.- 6 Single-Station Queues.- 7 Generalized Jackson Networks.- 8 A Two-Station Multiclass Network.- 9 Feedforward Networks.- 10 Brownian Approximations.- 11 Conservation Laws.- 12 Scheduling of Fluid Networks.