To keep abreast of the ever-tightening robustness standards of communi
cation services, we consider the topological design of the two-level n
etwork where a sufficient level of structural redundancy is imposed: t
he embedded backbone subnet is fully meshed and each user node is conn
ected to two different backbone nodes. This complicated design problem
for the dual homing full-mesh network is formulated as a 0-1 integer
problem so that the key structural characteristics of the single homin
g network design model are carried over. By applying the usual dual-ba
sed solution procedure, we develop ours, which consists of three dual
and one primal subprocedures. The computational experiments conducted
with a variety of test problems illustrate the effectiveness of the pr
oposed solution approach.