1. Apparatus for optimizing operation of a system of production, wherein parameters of production and distribution constitute an enhanced network optimization problem, the apparatus comprising: a) a data input for specifying the parameters of production and distribution and optimization criteria in an enhanced graph theoretic form having a base graph of the problem wherein the base graph is specified by a user; b) means for transforming the parameters of production and distribution and optimization criteria in the data input into a format specifying equations and constraints associated with the enhanced network optimization problem; c) an interface for submitting the data received for generating a solution optimized with respect to the economic criteria; d) a display for mapping the solution back to the base graph of the problem and for presenting the solution in the enhanced graph theoretic form.