Equivalent and Efficient Optimization Models for an Industrial Discrete Event System with Alternative Structural Configurations

Autor: Juan-Ignacio Latorre-Biel, Emilio Jiménez-Macías, Mercedes Pérez de la Parte
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: Complexity, Vol 2018 (2018)
Druh dokumentu: article
ISSN: 1076-2787
1099-0526
DOI: 10.1155/2018/5341346
Popis: Discrete event systems in applications, such as industry and supply chain, may show a very complex behavior. For this reason, their design and operation may be carried out by the application of optimization techniques for decision making in order to obtain their highest performance. In a general approach, it is possible to implement these optimization techniques by means of the simulation of a Petri net model, which may require an intensive use of computational resources. One key factor in the computational cost of simulation-based optimization is the size of the model of the system; hence, it may be useful to apply techniques to reduce it. This paper analyzes the relationship between two Petri net formalisms, currently used in the design of discrete event systems, where it is usual to count on a set of alternative structural configurations. These formalisms are a particular type of parametric Petri nets, called compound Petri nets, and a set of alternative Petri nets. The development of equivalent models under these formalisms and the formal proof of this equivalence are the main topics of the paper. The basis for this formal approach is the graph of reachable markings, a powerful tool able to represent the behavior of a discrete event system and, hence, to show the equivalence between two different Petri net models. One immediate application of this equivalence is the substitution of a large model of a system by a more compact one, whose simulation may be less demanding in the use of computational resources.
Databáze: Directory of Open Access Journals
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