عنوان

Introduction to queueing networks :

3319788221

331978823X

9783319788227

9783319788234

3319788213

9783319788210

Introduction to queueing networks :

[Book]

theory)"practice /

J. MacGregor Smith.

Cham, Switzerland :

Springer,

[2018]

1 online resource

Springer series in operations research and financial engineering,

2197-1773

Includes bibliographical references and index.

Intro; Preface; 1 Volume Focus and Outline; 2 Software Tools; Acknowledgments; Contents; Acronyms; 1 Introduction G(V, E); 1.1 Prologue; 1.1.1 Queueing Properties; 1.1.2 Types of Blocking; 1.2 Kendall Notation (A/B/C/D/E/F); 1.3 Topological Network Design (TND) Problems; 1.3.1 Design Variables; 1.3.2 Example Context; 1.3.3 Performance Variables; 1.3.4 Contextual Variables; 1.3.5 Performance and Optimization Models; 1.4 Principles of Modeling Queueing Networks; 1.4.1 Representation G(V, E); 1.4.1.1 Decomposition; 1.4.1.2 Aggregation; 1.4.2 Analysis f[(G(V, E)]; 1.4.3 Synthesis G(V, E)*

2.1.2 Stochastic Processes2.2 Little's Law; 2.3 Single Queue History; 2.3.1 A.K. Erlang; 2.3.2 The Early Pioneer Years; 2.3.3 Mid-Century; 2.4 Queueing Network History; 2.4.1 Open Queueing Networks; 2.4.2 Closed Queueing Networks; 2.4.3 Mixed Queueing Networks; 2.4.4 Product-Form Networks; 2.4.5 Non-product-Form Networks; 2.4.6 Blocking Networks; 2.4.7 Transportation and Loss Networks; 2.5 Optimization History; 2.5.1 Static Optimal Control; 2.5.2 Optimization Focus; 2.5.3 Optimal Dynamic Control; 3 Mathematical Models and Properties of Queues G(V); 3.1 Introduction and Motivation.

3.2 Assumptions, Definitions, Notation3.2.1 Definitions; 3.3 Birth-and-Death Process (BD); 3.3.1 BD Example Hair Salon; 3.4 redProduct Form: Birth-and-Death Queueing Formulas; 3.4.1 M/M/1 Representation; 3.4.2 Sample Path; 3.4.3 Steady-State Equations; 3.4.4 Algorithm; 3.4.5 Example Routing Problem; 3.4.6 M/M/c Representation; 3.4.7 M/M/c Sample Path; 3.4.8 Birth-Death Equations; 3.4.9 M/M/c Algorithm; 3.4.10 M/M/c Examples and Optimization; 3.4.11 M/G/∞ Queue; 3.4.11.1 Example; 3.5 blueNon-product-Form Queues: M/G/1/∞ and Related Queues; 3.5.1 Embedded Markov Process Approach

3.5.2 M/G/1 Generating Function Approach3.5.3 Embedded DTMC Matrix; 3.5.3.1 Probability Distribution; 3.5.3.2 Recursion Approach; 3.5.3.3 Basic Formula for Wq, Lq; 3.5.3.4 M/G/1 Example of Performance; 3.5.3.5 Example: M/D/1/K Model; 3.5.4 M/G/c Approximation Formula; 3.5.5 M/G/c Approximation Formula Example and Optimization; 3.5.6 G/M/1 and G/M/c Queues; 3.5.7 GI/G/c: Approximation Formula; 3.5.7.1 GI/G/c: Approximation Formula Example; 3.6 magentaBlocking Queues: Finite Buffer Queue Models; 3.6.1 M/M/1/K Models; 3.6.2 M/M/1/K Performance Measures; 3.6.2.1 WIP (L); 3.6.2.2 Cycle Time (W).

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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.

Springer Nature

com.springer.onix.9783319788227

Introduction to queueing networks.

9783319788210

Industrial engineering-- Mathematics.

Mathematical models.

Queuing networks (Data transmission)-- Mathematics.

Queuing theory-- Mathematics.

Mathematical Modeling and Industrial Mathematics.

Mathematics.

Simulation and Modeling.

Transportation Technology and Traffic Engineering.

3D graphics & modelling.

COMPUTERS-- Computer Literacy.

COMPUTERS-- Computer Science.

COMPUTERS-- Data Processing.

COMPUTERS-- Hardware-- General.

COMPUTERS-- Information Technology.

COMPUTERS-- Machine Theory.

COMPUTERS-- Reference.

Highway & traffic engineering.

Industrial engineering-- Mathematics.

Mathematical modelling.

Mathematical models.

Queuing networks (Data transmission)

COM-- 013000

COM-- 014000

COM-- 018000

COM-- 032000

COM-- 037000

COM-- 052000

COM-- 067000

PBWH

PBWH

TBJ

TBJ

Smith, J. M., (J. MacGregor)

20200823113809.0

pn

[Book]

Y