Construction of a Steiner Streaming Network of the Second Optimality Rank

Mathematical models and the method of rank optimization for Steiner streaming networks are presented. The method is based on the nonlocal minimum condition and the dynamical decomposition of the current Steiner network into intersecting subnetworks to be optimized that have equal dimensions. Numerical experiments are described that demonstrate the efficiency of the method in the design of distribution pipeline networks for water and gas supply.