Ebook: Fuzzy Probabilities and Fuzzy Sets for Web Planning
Author: Prof. James J. Buckley (auth.)
- Tags: Appl.Mathematics/Computational Methods of Engineering, Computer Communication Networks, Information Systems Applications (incl. Internet), Information and Communication Circuits, Communications Engineering Networks, Business Informatio
- Series: Studies in Fuzziness and Soft Computing 135
- Year: 2004
- Publisher: Springer-Verlag Berlin Heidelberg
- Edition: 1
- Language: English
- pdf
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".
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".
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".
Content:
Front Matter....Pages i-x
Introduction....Pages 1-4
Fuzzy Sets....Pages 5-20
Fuzzy Probabilities/Arrival Rates....Pages 21-34
Fuzzy Markov Chains....Pages 35-43
Fuzzy Queuing Theory....Pages 45-46
Computations: One Sever....Pages 47-52
Example: One Sever....Pages 53-57
Computations: Two Servers....Pages 59-61
Example: Two Servers....Pages 63-66
Computations: Three or More Servers....Pages 67-68
Fuzzy Arrival/Service Rates....Pages 69-71
Example: Fuzzy Arrival/Service Rates....Pages 73-81
Optimization: Without Revenue/Costs....Pages 83-110
Optimization: With Revenue/Costs....Pages 111-130
Burstiness....Pages 131-145
Long Tailed Distributions....Pages 147-159
Putting It All Together....Pages 161-169
Summary and Future Research....Pages 171-173
Computational Algorithms....Pages 175-180
Back Matter....Pages 181-190
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".
Content:
Front Matter....Pages i-x
Introduction....Pages 1-4
Fuzzy Sets....Pages 5-20
Fuzzy Probabilities/Arrival Rates....Pages 21-34
Fuzzy Markov Chains....Pages 35-43
Fuzzy Queuing Theory....Pages 45-46
Computations: One Sever....Pages 47-52
Example: One Sever....Pages 53-57
Computations: Two Servers....Pages 59-61
Example: Two Servers....Pages 63-66
Computations: Three or More Servers....Pages 67-68
Fuzzy Arrival/Service Rates....Pages 69-71
Example: Fuzzy Arrival/Service Rates....Pages 73-81
Optimization: Without Revenue/Costs....Pages 83-110
Optimization: With Revenue/Costs....Pages 111-130
Burstiness....Pages 131-145
Long Tailed Distributions....Pages 147-159
Putting It All Together....Pages 161-169
Summary and Future Research....Pages 171-173
Computational Algorithms....Pages 175-180
Back Matter....Pages 181-190
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