Fuzzy Optimization and Normal Simulation for Solving Fuzzy Web Queuing System Problems
In this paper, we use both fuzzy optimization and normal simulation methods to solve fuzzy web planning model problems, which are queuing system problems for designing web servers. We apply fuzzy probabilities to the queuing system models with customers arrival rate l and servers?service rate m, and...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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International Institute of Informatics and Cybernetics
2005-04-01
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| Series: | Journal of Systemics, Cybernetics and Informatics |
| Subjects: | |
| Online Access: | http://www.iiisci.org/Journal/CV$/sci/pdfs/P107425.pdf
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| _version_ | 1819231499545739264 |
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| author | Xidong Zheng Kevin Reilly James Buckley |
| author_facet | Xidong Zheng Kevin Reilly James Buckley |
| author_sort | Xidong Zheng |
| collection | DOAJ |
| description | In this paper, we use both fuzzy optimization and normal simulation methods to solve fuzzy web planning model problems, which are queuing system problems for designing web servers. We apply fuzzy probabilities to the queuing system models with customers arrival rate l and servers?service rate m, and then compute fuzzy system performance variables, including Utilization, Number (of requests) in the System, Throughput, and Response Time. For the fuzzy optimization method, we apply two-step calculation, first use fuzzy calculation to get the maximum and minimum values of fuzzy steady state probabilities, and then we compute the fuzzy system performance variables. For the simulation method, we use one-step normal queuing theory to simulate the whole system performance and its variables. We deal with queuing systems with a single server and multiple servers?cases, and compare the results of these two cases, giving a mathematical explanation of the difference. Keywords: Fuzzy Optimization, Normal Simulation, Queuing Theory, Web Planning Model. |
| first_indexed | 2024-12-23T11:45:56Z |
| format | Article |
| id | doaj.art-205ecd119f8d419ab1faa433c8eb7b0f |
| institution | Directory Open Access Journal |
| issn | 1690-4524 |
| language | English |
| last_indexed | 2024-12-23T11:45:56Z |
| publishDate | 2005-04-01 |
| publisher | International Institute of Informatics and Cybernetics |
| record_format | Article |
| series | Journal of Systemics, Cybernetics and Informatics |
| spelling | doaj.art-205ecd119f8d419ab1faa433c8eb7b0f2022-12-21T17:48:21ZengInternational Institute of Informatics and CyberneticsJournal of Systemics, Cybernetics and Informatics1690-45242005-04-01323440Fuzzy Optimization and Normal Simulation for Solving Fuzzy Web Queuing System ProblemsXidong Zheng0Kevin Reilly1James Buckley2 ACM,IEEE, Soft Computing Simulation Soft computing In this paper, we use both fuzzy optimization and normal simulation methods to solve fuzzy web planning model problems, which are queuing system problems for designing web servers. We apply fuzzy probabilities to the queuing system models with customers arrival rate l and servers?service rate m, and then compute fuzzy system performance variables, including Utilization, Number (of requests) in the System, Throughput, and Response Time. For the fuzzy optimization method, we apply two-step calculation, first use fuzzy calculation to get the maximum and minimum values of fuzzy steady state probabilities, and then we compute the fuzzy system performance variables. For the simulation method, we use one-step normal queuing theory to simulate the whole system performance and its variables. We deal with queuing systems with a single server and multiple servers?cases, and compare the results of these two cases, giving a mathematical explanation of the difference. Keywords: Fuzzy Optimization, Normal Simulation, Queuing Theory, Web Planning Model.http://www.iiisci.org/Journal/CV$/sci/pdfs/P107425.pdf Normal SimulationWeb Planning ModelFuzzy OptimizationQueuing Theory |
| spellingShingle | Xidong Zheng Kevin Reilly James Buckley Fuzzy Optimization and Normal Simulation for Solving Fuzzy Web Queuing System Problems Journal of Systemics, Cybernetics and Informatics Normal Simulation Web Planning Model Fuzzy Optimization Queuing Theory |
| title | Fuzzy Optimization and Normal Simulation for Solving Fuzzy Web Queuing System Problems |
| title_full | Fuzzy Optimization and Normal Simulation for Solving Fuzzy Web Queuing System Problems |
| title_fullStr | Fuzzy Optimization and Normal Simulation for Solving Fuzzy Web Queuing System Problems |
| title_full_unstemmed | Fuzzy Optimization and Normal Simulation for Solving Fuzzy Web Queuing System Problems |
| title_short | Fuzzy Optimization and Normal Simulation for Solving Fuzzy Web Queuing System Problems |
| title_sort | fuzzy optimization and normal simulation for solving fuzzy web queuing system problems |
| topic | Normal Simulation Web Planning Model Fuzzy Optimization Queuing Theory |
| url | http://www.iiisci.org/Journal/CV$/sci/pdfs/P107425.pdf
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