Fuzzy Probabilities and Fuzzy Sets for Web Planning / Edition 1

Fuzzy Probabilities and Fuzzy Sets for Web Planning / Edition 1

by James J. Buckley
     
 

This book presents important applications of soft computing and fuzziness to the growing field of web planning. A new method of using fuzzy numbers to model uncertain probabilities and how these can be used to model a fuzzy queuing system is demonstrated, as well as a method of modeling fuzzy queuing systems employing fuzzy arrival rates and fuzzy service rates.

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Overview

This book presents important applications of soft computing and fuzziness to the growing field of web planning. A new method of using fuzzy numbers to model uncertain probabilities and how these can be used to model a fuzzy queuing system is demonstrated, as well as a method of modeling fuzzy queuing systems employing fuzzy arrival rates and fuzzy service rates. All the computations needed to get to the fuzzy numbers for system performance are described starting for the one server case to more than three servers. A variety of optimization models are discussed with applications to the average response times, server utilization, server and queue costs, as well as to phenomena identified with web sites such as "burstiness" and "long tailed distributions".

Product Details

ISBN-13:
9783642055966
Publisher:
Springer Berlin Heidelberg
Publication date:
12/14/2010
Series:
Studies in Fuzziness and Soft Computing Series, #135
Edition description:
Softcover reprint of the original 1st ed. 2004
Pages:
190
Product dimensions:
9.21(w) x 6.14(h) x 0.43(d)

Table of Contents

Introduction.- Fuzzy Sets.- Fuzzy Probabilities/Arrival Rates.- Fuzzy Markov Chains.- Fuzzy Queuing Theory.- Computations: One Server.- Example: One Server.- Computations: Two servers.- Example: Two Servers.- Computations: Three or More Servers.- Fuzzy Arrival/Service Rates.- Example: Fuzzy Arrival/Service Rates.- Optimization: Without Revenue/Costs.- Optimization: With Revenue/Costs.- Burstiness.- Long Tailed Distributions.- Putting it all Together.- Summary and Future Research.- Computational Algorithms.

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