1. Fuzzy Optimization and Normal Simulation for Solving Fuzzy Web Queuing System Problems
- Author
-
Xidong Zheng, Kevin Reilly, and James Buckley
- Subjects
Normal Simulation ,Web Planning Model ,Fuzzy Optimization ,Queuing Theory ,Information technology ,T58.5-58.64 ,Communication. Mass media ,P87-96 - Abstract
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.
- Published
- 2005