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The Rapp formula of teletraffic dimensioning is generalized to admit an arbitrary renewal stream of offered traffic. The derivation proceeds from a heavy traffic approximation and provides also an estimate of the order of error involved in the Rapp formula. In principle, the method could be used to seek convenient higher order approximations. Our equations give an incidental theoretical substantiation of an empirical result relating to marginal occupancy found recently by Potter.doi:10.1017/s0334270000000242 fatcat:zcwup5hmv5fbnoabisksrzj56e