Presents a unified model to compute various performance measures when Poissonian and non-Poissonian (renewal) multi-slot traffic streams are offered to a digital link in a (double) loss system. the authors represent the non-Poissonian arrival process by a matrix-exponential distribution, requiring only that the inter-arrival distribution has a rational Laplace transform. Several distributions are considered as the non-Poissonian traffic. The resulting model uses matrix algebraic techniques only, thus not requiring any complex and/or tedious transform techniques. The authors also incorporate various control policies in their modeling framework using acceptance functions. Through computational studies, they conclude that the second and the third moments of the non-Poissonian traffic have significant impact on various performance measures.>