The generalized problem of center location

A mathematical model, which is a generalization of the Classical Problems of Location of Centers and Medians on Graphs, is described. The proposed model is called Generalized Problem of Center Location (GPCL). A general method of approximate solving GPCL is suggested. This iterational method is based on using the solutions of Assignment Problems of different types in each iteration. The method includes a nontrivial initial phase, on which a special version of the Taxonomy Problem is solved. The suggested method is elaborated for some particular cases of GPCL.