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Mathematical Problems in Engineering
Volume 2013 (2013), Article ID 639306, 9 pages
Research Article

Greenhouse Modeling Using Continuous Timed Petri Nets

1ITESM Campus Guadalajara, Avenida General Ramón Corona 2514, Colonia Nuevo México, 45201 Zapopan, JAL, Mexico
2CINVESTAV-IPN, Unidad Guadalajara, Avenida del Bosque 1145, 45019 Zapopan, JAL, Mexico

Received 5 April 2013; Revised 21 June 2013; Accepted 21 June 2013

Academic Editor: Hamid Reza Karimi

Copyright © 2013 José Luis Tovany et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper presents a continuous timed Petri nets (ContPNs) based greenhouse modeling methodology. The presented methodology is based on the definition of elementary ContPN modules which are designed to capture the components of a general energy and mass balance differential equation, like parts that are reducing or increasing variables, such as heat, CO2 concentration, and humidity. The semantics of ContPN is also extended in order to deal with variables depending on external greenhouse variables, such as solar radiation. Each external variable is represented by a place whose marking depends on an a priori known function, for instance, the solar radiation function of the greenhouse site, which can be obtained statistically. The modeling methodology is illustrated with a greenhouse modeling example.