ICNPAA 2010: Mathematical Problems in
Engineering, Aerospace and Sciences

The goal of our work is to propose an approach based on modeling for the study of industrial metabolism, improving the metabolic flows of industrial processes and the appropriate use of materials. The industrial metabolism is characterized as a result of physical and chemical transformations to convert raw materials into manufactured products. We begin by using an ordinary Petri net model to show the main activities and different routes that make up an industrial metabolism. After this, we present a hybrid model using predicate transition Petri nets. These nets are combined with systems of differential equations for the allocation of resources such as industrial equipment, and quantity of materials to be used. A predicate transition Petri net with differential equations allows combining continuous and discrete aspects in a single model. Continuous part represents a set of differential equations which indicates, the quantity of resources (raw materials) to be used, maximizing production. Discrete part is indicated by the predicate transition Petri net where industrial activity for the production of a certain product is represented. Finally, it is presented a case study including hybrid modeling and simulations in the Java programming language for the analysis and validation of industrial metabolism modeling.