Multi-faceted approach to mathematical model representation and management

One of the essential issues in model systems is how to represent and manipulate mathematical modeling knowledge. As the bases of integrated modeling environments, current modeling frameworks have limitations: lack of facility to coordinate different users, perpectives and lack of mechanism to reuse modeling knowledge. In this paper, multi-faceted modeling approach is proposed as a basis for the development of integrated modeling environment which provides facilities for (1) independent management of modeling knowledge from individual models: (2) object-oriented conceptual blackboard concept: (3) multi-faceted modeling: and (4) declarative representation of mathematical knowledge. The proposed multi-faceted approach is illustrated using multicommodity transportation models.