The context of the problem is broad-band optical networks which carry
a wide range of traffic classes in an integrated fashion. The focus is
upon so-called stream traffic in which each class is allocated differ
ent quantities of broadband for the duration of a call on an equal sha
ring policy. An exact analysis of the blocking conditions experienced
by different classes of traffic demanding transmission through a netwo
rk with the star or the ring topology is presented. Thus, we calculate
blocking probabilities on tandem links by means of a recursive relati
on that considerably simplifies the complexity of the problem without
ignoring the interdependencies among links. Being a solution to a mult
iple classes-multiple links blocking problem, the present work is a mu
ltidimensional generalization of a well-known analysis for a single tr
unk. The efficiency of the solution lies on the linearity of the neces
sary computations.