Network Reliability: Experiments with a Symbolic Algebra Environment

Hardcover (Print)
Buy New
Buy New from BN.com
$219.45
Used and New from Other Sellers
Used and New from Other Sellers
from $52.70
Usually ships in 1-2 business days
(Save 77%)
Other sellers (Hardcover)
  • All (11) from $52.70   
  • New (6) from $188.98   
  • Used (5) from $52.70   

Overview

Network Reliability: Experiments with a Symbolic Algebra Environment examines two intertwined topics: computational methods for computing bounds on three measures of network reliability, and a symbolic algebra system to support these computations. It describes, in algorithmic outlines, efficient techniques for reliability bounds and discusses the implementation of the techniques. It explores all-terminal reliability, two-terminal reliability, and reliability of interconnection networks. Consistent with real-world experience, the computational environment and results are strongly supported by sound theoretical development.

Written for researchers and practitioners in telecommunications networks, operations research, symbolic algebra, and discrete mathematics, this book explores all-terminal reliability, two-terminal reliability, and reliability of interconnection networks. Features extensive discussion of implementation issues and never-before-published results of computational experiments.

Read More Show Less

Product Details

Table of Contents

BLOCKING PROPERTIES OF CHANNEL GRAPHS
Introduction for Channel Graphs
Motivation
Summary and Overview
Background for Channel Graphs
Channel Graphs
Optimal Channel Graphs
Reliability Polynomial and Kruskal-Katona Bounds
Consecutive Minimal Cutsets
The Esary-Proschan Upper Bound
Reachability
Monte Carlo Methods
Transformations on Channel Graphs
The Swap Transformation
An Application to Takagi's and Chung and Hwang's Result
Insplit and Outsplit Transformation
Renormalization
Threshold Channel Graphs
Shifting for Threshold Channel Graphs
Least Reliable Threshold Channel Graph
Most Reliable Threshold Channel Graph
Shifting in Many Stages and a Lower Bound
Different Operational Probabilities
The Averaging Transformation
Subgraph Counting Bounds
Improving the Kruskal-Katona Bounds
Lower Bounds on the Coefficients
Upper Bounds on the Coefficients
Test Results
An Empirical Evaluation
Interconnection Networks
Conclusions for Channel Graphs
Summary of Contributions
Directions for Future Work
A SYSTEM FOR TWO-TERMINAL RELIABILITY
Introduction for Two-Terminal Reliability
Overview of the Part
Two-Terminal Reliability
Network Model Graph Theoretic Definitions
Existing Connectivity Algorithms
Performability
New or Improved Methods
The Renormalization Method
Coefficient-Wise Bounds
Consecutive Cuts Orderings
Hybrid Methods for Performability
The System Developed
Requirements
Development Decisions
Pre-Existing System
New Development
Development Experience
Using the Package as a Research Tool
Test Results
Test Network Topologies
Performance of Upper Bounding Methods
Performance of the Lower Bounding Methods
Conclusions for Two-Terminal Reliability
Summary
Current (Ongoing) Research and System Development
Future of the System
APPENDICES
Interactive Session Using the System
Using the Networks Package
Using the Reliability Package
Using the Channel Package
Performance of the Connectivity Bounds
Absolute Performance Versus Exact Values
Relative Performance of Upper Bounds
Interpolating Reliability Polynomials
Bibliography

Read More Show Less

Customer Reviews

Be the first to write a review
( 0 )
Rating Distribution

5 Star

(0)

4 Star

(0)

3 Star

(0)

2 Star

(0)

1 Star

(0)

Your Rating:

Your Name: Create a Pen Name or

Barnes & Noble.com Review Rules

Our reader reviews allow you to share your comments on titles you liked, or didn't, with others. By submitting an online review, you are representing to Barnes & Noble.com that all information contained in your review is original and accurate in all respects, and that the submission of such content by you and the posting of such content by Barnes & Noble.com does not and will not violate the rights of any third party. Please follow the rules below to help ensure that your review can be posted.

Reviews by Our Customers Under the Age of 13

We highly value and respect everyone's opinion concerning the titles we offer. However, we cannot allow persons under the age of 13 to have accounts at BN.com or to post customer reviews. Please see our Terms of Use for more details.

What to exclude from your review:

Please do not write about reviews, commentary, or information posted on the product page. If you see any errors in the information on the product page, please send us an email.

Reviews should not contain any of the following:

  • - HTML tags, profanity, obscenities, vulgarities, or comments that defame anyone
  • - Time-sensitive information such as tour dates, signings, lectures, etc.
  • - Single-word reviews. Other people will read your review to discover why you liked or didn't like the title. Be descriptive.
  • - Comments focusing on the author or that may ruin the ending for others
  • - Phone numbers, addresses, URLs
  • - Pricing and availability information or alternative ordering information
  • - Advertisements or commercial solicitation

Reminder:

  • - By submitting a review, you grant to Barnes & Noble.com and its sublicensees the royalty-free, perpetual, irrevocable right and license to use the review in accordance with the Barnes & Noble.com Terms of Use.
  • - Barnes & Noble.com reserves the right not to post any review -- particularly those that do not follow the terms and conditions of these Rules. Barnes & Noble.com also reserves the right to remove any review at any time without notice.
  • - See Terms of Use for other conditions and disclaimers.
Search for Products You'd Like to Recommend

Recommend other products that relate to your review. Just search for them below and share!

Create a Pen Name

Your Pen Name is your unique identity on BN.com. It will appear on the reviews you write and other website activities. Your Pen Name cannot be edited, changed or deleted once submitted.

 
Your Pen Name can be any combination of alphanumeric characters (plus - and _), and must be at least two characters long.

Continue Anonymously

    If you find inappropriate content, please report it to Barnes & Noble
    Why is this product inappropriate?
    Comments (optional)