We consider the model of resource allocation for ergodic and semi-ergodic resource networks with valve reachability. Approach for modeling the process of resource reallocation in network with valve reachability is proposed. This approach bases on using of the auxiliary network. Methods for finding the threshold value and the limit state for an arbitrary total resource value in a resource network with valve reachability are developed.

Keywords: resource networks, flows in networks, flow distribution, nonstandard reachability, limit state, threshold