Graphic Modeling Using Heterogeneous Hierarchical Models

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Abstract
The importance of efficiently representing each abstract level of a complex model has become significant for many reasons. Because of the size of complex models, an organizational methodology is needed as an aid during both development and investigation of a system. In addition, some modeling formalisms are design to describe certain classes of systems while others are general enough to represent a broad class of systems. Therefore, the ability to use multiple formalisms is advantageous when the model is complex. In this paper, we define Heterogeneous Hierarchical modeling (HH modeling) as a modeling methodology which allows an investigator to use multiple formalisms and to organize these formalisms hierarchically. We then present Hybrid Model Theory which supports HH modeling by theoretically unifying graphic-based formalisms such as Petri nets, block models and state machines. An example is given which demonstrates top-down refinement of a partial model using a variety of established, well-known formalisms.

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