Unlike a typical tree structure network where one node can onlybe assigned to one predecessor, we extend the rule and stipulatethat each inventory stocking node in the network may have up totwo suppliers. Though the change from one to two may not seem tobe an ambitious one, the network we are interested in can be fun-damentally different from the others. Fig. 2 illustrates the generalnetwork, and each node from 1 to 4 contains an inventory storing