In this paper we consider the Ring Loading Problem, which arises in th
e design of SONET bidirectional rings. The issue of demand splitting d
ivides the ring loading problem into the two kinds. One allows a deman
d to be split and routed in two different directions and the other doe
s not. The former I;ind becomes a relaxation of the latter. We present
an efficient exact solution procedure for the case with demand splitt
ing, and a two-approximation algorithm for the case without demand spl
itting. Computational results are also shown to prove the efficiency o
f the proposed procedures.