Design and Analysis of Distributed Algorithms

This text is based on a simple and fully reactive computational model that allows for intuitive comprehension and logical designs. The principles and techniques presented can be applied to any distributed computing environment (e.g., distributed systems, communication networks, data networks, grid networks, internet, etc.). The text provides a wealth of unique material for learning how to design algorithms and protocols perform tasks efficiently in a distributed computing environment.

Autorentext
NICOLA SANTORO, PhD, is Professor of Computer Science at Carleton University. Dr. Santoro has been involved in distributed computing from the beginning of the field. He has contributed extensively on the algorithmic aspects, authoring many seminal papers. He is a founder of the main theoretical conferences in the field (PODC, DISC, SIROCCO). His current research is on distributed algorithms for mobile agents, autonomous mobile robots, and mobile sensor networks.

Klappentext
Design And Analyze algorithms for distributed computing environments Design and Analysis of Distributed Algorithms focuses on developing problem-solving skills and fully exploiting design tools and techniques. Moreover, the author helps readers develop the analytical tools and skills needed to evaluate the costs of complex designs and protocols.

This text is based on a simple and fully reactive computational model that allows for intuitive comprehension and logical designs. The principles and techniques that users learn can be applied to any distributed computing environment (e.g., distributed systems, communication networks, data networks, grid networks, internet, etc.). Based on a method developed and refined during the author's twenty years of teaching experience, the text provides a wealth of unique material and learning aids that enable the reader to learn how to design algorithms and protocols to solve problems and perform tasks efficiently in a distributed computing environment. Features include:

• Emphasis on developing problem-solving skills and fully leveraging design tools and techniques with a straightforward, easy-to-follow writing style
• Chapter on distributed data and structures, an important area not covered in comparable texts
• Detailed coverage of synchronous computations, a necessary element for "energy aware" computing
• Theoretical and experimental exercises in each chapter that allow readers to apply their newfound skills
  All algorithms and protocols presented in the text, as well as those in the exercises, are easily and immediately programmable. References at the end of each chapter lead readers to additional materials for further study.

A natural textbook for upper-level undergraduates and graduate students, with its emphasis on problem solving, this book is also ideal for system-protocol designers and communications software engineers and developers. It will enable them to understand the principles of how to design workable, efficient protocols in any distributed computing environment.

Inhalt
Preface. 1. Distributed Computing Environments*.*

1.1 Entities.

1.2 Communication.

1.3 Axioms and Restrictions.

1.3.1 Axioms.

1.3.2 Restrictions.

1.4 Cost and Complexity.

1.4.1 Amount of Communication Activities.

1.4.2 Time.

1.5 An Example: Broadcasting.

1.6 States and Events.

1.6.1 Time and Events.

1.6.2 States and Configurations.

1.7 Problems and Solutions (*).

1.8 Knowledge.

1.8.1 Levels of Knowledge.

1.8.2 Types of Knowledge.

1.9 Technical Considerations.

1.9.1 Messages.

1.9.2 Protocol.

1.9.3 Communication Mechanism.

1.10 Summary of Definitions.

1.11 Bibliographical Notes.

1.12 Exercises, Problems, and Answers.

1.12.1 Exercises and Problems.

1.12.2 Answers to Exercises.

2. Basic Problems And Protocols.

2.1 Broadcast.

2.1.1 The Problem.

2.1.2 Cost of Broadcasting.

2.1.3 Broadcasting in Special Networks.

2.2 Wake-Up.

2.2.1 Generic Wake-Up.

2.2.2 Wake-Up in Special Networks.

2.3 Traversal.

2.3.1 Depth-First Traversal.

2.3.2 Hacking (*).

2.3.3 Traversal in Special Networks.

2.3.4 Considerations on Traversal.

2.4 Practical Implications: Use a Subnet.

2.5 Constructing a Spanning Tree.

2.5.1 SPT Construction with a Single Initiator: Shout.

2.5.2 Other SPT Constructions with Single Initiator.

2.5.3 Considerations on the Constructed Tree.

2.5.4 Application: Better Traversal.

2.5.5 Spanning-Tree Construction with Multiple Initiators.

2.5.6 Impossibility Result.

2.5.7 SPT with Initial Distinct Values.

2.6 Computations in Trees.

2.6.1 Saturation: A Basic Technique.

2.6.2 Minimum Finding.

2.6.3 Distributed Function Evaluation.

2.6.4 Finding Eccentricities.

2.6.5 Center Finding.

2.6.6 Other Computations.

2.6.7 Computing in Rooted Trees.

2.7 Summary.

2.7.1 Summary of Problems.

2.7.2 Summary of Techniques.

2.8 Bibliographical Notes.

2.9 Exercises, Problems, and Answers.

2.9.1 Exercises.

2.9.2 Problems.

2.9.3 Answers to Exercises.

3. Election.

3.1 Introduction.

3.1.1 Impossibility Result.

3.1.2 Additional Restrictions.

3.1.3 Solution Strategies.

3.2 Election in Trees.

3.3 Election in Rings.

3.3.1 All the Way.

3.3.2 As Far As It Can.

3.3.3 Controlled Distance.

3.3.4 Electoral Stages.

3.3.5 Stages with Feedback.

3.3.6 Alternating Steps.

3.3.7 Unidirectional Protocols.

3.3.8 Limits to Improvements (*).

3.3.9 Summary and Lessons.

3.4 Election in Mesh Networks.

3.4.1 Meshes.

3.4.2 Tori.

3.5 Election in Cube Networks.

3.5.1 Oriented Hypercubes.

3.5.2 Unoriented Hypercubes.

3.6 Election in Complete Networks.

3.6.1 Stages and Territory.

3.6.2 Surprising Limitation.

3.6.3 Harvesting the Communication Power.

3.7 Election in Chordal Rings (*).

3.7.1 Chordal Rings.

3.7.2 Lower Bounds.

3.8 Universal Election Protocols.

3.8.1 Mega-Merger.

3.8.2 Analysis of Mega-Merger.

3.8.3 YO-YO. 3.8.4 Lower Bounds and E...