2003
DOI: 10.1007/s00500-003-0305-z
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Fuzzy probabilities for web planning

Abstract: We apply our new approach to modeling uncertain probabilities to queuing theory and the optimal design of web servers. This involves using fuzzy, finite, regular Markov chains to determine the fuzzy steady state probabilities and then computing the fuzzy numbers for system performance. We first ignore revenues and costs in determining an optimal system and then we incorporate these factors for optimal design. Then we add two new phenomena associated with the web in our optimization models: ''burstiness'' and '… Show more

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Cited by 21 publications
(8 citation statements)
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“…(See [3], [4]) Since our model is described by normal distribution, we only discuss fuzzy calculations related to this distribution, while other calculations are mentioned more generally in [8].…”
Section: Fuzzy Calculationsmentioning
confidence: 99%
“…(See [3], [4]) Since our model is described by normal distribution, we only discuss fuzzy calculations related to this distribution, while other calculations are mentioned more generally in [8].…”
Section: Fuzzy Calculationsmentioning
confidence: 99%
“…Note that the proposed method is suitable for fuzzy, interval, crisp, and mixed numbers. More detailed discussions of the theory and applications of constrained fuzzy arithmetic operations can be found in [19,25,26]. Next, we give two numerical examples to illustrate the proposed method.…”
Section: The Fuzzy Analytic Network Processmentioning
confidence: 99%
“…This produces fuzzy probability distributions. This procedure has been discussed before in [2][3][4][5][6][7][8] but for completeness we include some of these details below. With fuzzy probability distributions we will then compute fuzzy numbers for system performance and we have a fuzzy system.…”
Section: Fuzzy Systemmentioning
confidence: 99%