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The problems arising when the moments of service time distributions, forwhich the MGinf queue system busy period and busy cycle become very easy tostudy, are presented and it is shown how to overcome them. The busy cyclerenewal function and the peakedness and the modified peakedness for the MGinfbusy period and busy cycle in the case of those service time distributions arealso computed.

A Particular Collection of Service Time Distributions Parameters Study and Impact in some MGinf System Busy Period and Busy Cycle Parameters