The alternatives aggregation Petri nets as a formalism to design discrete event systems

Latorre, J.I.; Jiménez‐Macías, Emilio; Pérez, Mercedes; Blanco‐Fernández, Julio; Martínez, E.

doi:10.1504/ijspm.2010.036019

Cited by 10 publications

(22 citation statements)

References 6 publications

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“…This best solution will be provided to the designer in order to support the decisions to be made in the process with a forecast of the behaviour of the system, thanks to the described optimization methodology [25].…”

Section: Decision-making Methodologymentioning

confidence: 99%

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Optimal Design of an Olive Oil Mill by Means of the Simulation of a Petri Net Model

Latorre-Biel

Jiménez‐Macías

Blanco‐Fernández

et al. 2014

International Journal of Food Engineering

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Global concurrence is a topic that affects many companies in most sectors of the economy. In particular, the improvement in the manufacturing, packing, storage, and transportation of food has allowed farming companies from all over the world to compete for customers of a global market. In order to achieve success in this complex environment, it is convenient for the companies to be efficient even before the beginning of their business activity. This paper presents a decision support methodology for improving the design and management of an olive oil manufacturing facility based on the development of a Petri net model of the system, the simulation of its behaviour under a selected set of alternative configurations, and the choice of the most promising one by means of an optimization algorithm.

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Section: Decision-making Methodologymentioning

confidence: 99%

“…This system is based on obtaining a model of the system using the formalism of the alternatives aggregation Petri nets [23][24][25] and simulating it under different configurations of the system to select the configuration that better fits with the objective of the design and management of the company [26].…”

Section: Introductionmentioning

confidence: 99%

Optimal Design of an Olive Oil Mill by Means of the Simulation of a Petri Net Model

Latorre-Biel

Jiménez‐Macías

Blanco‐Fernández

et al. 2014

International Journal of Food Engineering

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“…A significant effort has already been devoted to the development of reduction rules for Petri nets (Murata, 1989;Esparza and Nielsen, 1994). The application of six of them are discussed from the point of view of matrix operations (Latorre-Biel et al, 2015). These six reduction rules lead to some additional elementary matrix operations that can be applied to an incidence matrix for transforming the Petri net model.…”

Section: Matrix Operationsmentioning

confidence: 99%

“…Efficient algorithms for transforming Petri net models are performed by modifying their incidence matrices. As a consequence, it constitutes a convenient tool for supporting these processes, taking into account a range of available matrix operations and the properties of the original Petri nets that they preserve (Silva, 1981;Latorre-Biel et al, 2015).…”

Section: Introductionmentioning

confidence: 99%

Transformation of Petri net Models by Matrix Operations

Latorre-Biel

Jiménez‐Macías

Sáenz-Díez

et al. 2018

Linköping Electronic Conference Proceedings

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Petri nets constitute a modeling paradigm able to describe discrete event systems characterized by features such as parallelism, precedence, concurrence, and synchronization. Petri nets are applied extensively and successfully for modeling systems belonging to a broad range of fields. In this context, transformation of Petri net models constitutes a process with diverse applications, such as simplifying the model for developing structural analysis or for performance evaluation, as well as comparing different models, describing nets whose structure changes over time, or merging models with exclusive entities. The transformation of the structure of a Petri net can be carried out from different points of view. In this paper, this transformation is developed by means of matrix operations. A list of matrix operations is presented and the preservation of some significant properties of the Petri net is discussed as a practical tool for transforming Petri net models by operations in the incidence matrices.

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“…Another particular representation of an undefined Petri net is called the AAPN. 42 As its name says, the AAPN may be constructed from the aggregation of a set of alternative Petri nets, a process described by Latorre et al 44 . In this process, the set of exclusive entities is represented by a set of choice variables S A = { a 1 , a 2 , …, a n }.…”

Section: Simulation-based Optimization Of a Des On A Single Processormentioning

confidence: 99%

Simulation-based optimization of discrete event systems with alternative structural configurations using distributed computation and the Petri net paradigm

Latorre

Jiménez

2013

SIMULATION

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Decision-making on discrete event systems with alternative structural configurations is a field with application to the efficient design and operation of many systems, ranging from manufacturing facilities to communication networks. The solution of this problem may be afforded by its transformation into an optimization problem. A variety of statements for this optimization problem can be presented by using different formalisms able to describe the model of the system. These different statements allow developing diverse optimization algorithms for solving the problem, which may be very demanding for a computer. In this paper, several approaches are presented in order to reduce the computing requirements needed by the mentioned algorithms, some of them are implemented in one processor and others are based on distributed computing. In particular, this paper presents a new distributed methodology, which associates sets of alternative structural configurations of the system to different alternative aggregation Petri net (AAPNs), regarding the number of available processors. Under certain conditions, this methodology alleviates the computational requirements for every processor and speeds up the optimization process. A case-study is presented and different techniques are applied to solve it, for illustrating diverse distributed and non-distributed methodologies, regarding the available processors, as well as for comparing their relative performance.

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The alternatives aggregation Petri nets as a formalism to design discrete event systems

Cited by 10 publications

References 6 publications

Optimal Design of an Olive Oil Mill by Means of the Simulation of a Petri Net Model

Optimal Design of an Olive Oil Mill by Means of the Simulation of a Petri Net Model

Transformation of Petri net Models by Matrix Operations

Simulation-based optimization of discrete event systems with alternative structural configurations using distributed computation and the Petri net paradigm

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