Hl. Hartmann et Hc. He, CAPACITY ASSIGNMENT FOR CIRCUIT-SWITCHED REFERENCE NETWORKS WITH NONHIERARCHICAL ROUTING, European transactions on telecommunications and related technologies, 6(3), 1995, pp. 353-363
Capacity assignment (CA) implies the minimization of network cost subj
ect to several constraints, such as traffic demands, end-to-end Grade
of Services (GOS) and the non negativity conservation of flows. Real a
symmetric networks may be described by several statistical moments of
different orders. Thus a reference network may be characterized by the
mean distance between a given set of fully intermeshed nodes, the mea
n traffic offered per demand pair, and the mean GOS for all end-to-end
blockings. At first, we present an exact theoretical solution of the
CA-problem for symmetric circuit- switched networks. We start with the
formulation of the end-to-end blockinges with nonhierarchical two-lin
k path alternate routing for reversible and nonreversible scheme, resp
ectively. Next, we derive the Kuhn-Tucker conditions for the CA-proble
m. The corresponding solution is verified to be unique and stable. The
n, we proceed to approximate the relevant optimal parameters, such as
die economic high link blocking, the optimal size of routing sequences
and the minimum link size, by using least-square fitting. The results
form new rules of thumb for a wide range of traffic demand and GOS an
d may thus be used to support the initial dimensioning of asymmetric n
onhierarchical networks. Finally an approximation for asymmetric netwo
rks is proposed and verified, which is based on an appropriate CA deco
mposition and relevant traffic parameters of both the symmetric refere
nce and its asymmetric extension.