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Three connection admission control (CAC) algorithms are described and compared via computer simulations by referring to the novel WIND-FLEX wireless LAN, recently developed in the framework of a European IST project. The three CAC solutions employ different strategies to estimate the link utilization, thus giving different performance in terms of number of refused connections and network throughput. The first solution is characterized by reduced complexity by unsatisfactory performance. The other two methods, exhibit much better performance at a reasonable complexity increase. So, they are good candidates for practical applications.