Performance control of Markovian Petri nets via fluid models: A stock-level control example

Author

Vazquez, C. Renato ; Silva, Manuel

Author_Institution

Dep. de Inf. e Ing. de Sist., Univ. de Zaragoza, Zaragoza, Spain

fYear

2009

fDate

22-25 Aug. 2009

Firstpage

30

Lastpage

36

Abstract

Petri nets is a well-know formalism for studying discrete event systems. Applications include performance evaluation in communication networks, production systems, supply chains, and the implementation of sequence controllers. Timed Continuous Petri Net (TCPN) systems are continuous-state models that can approximate the dynamical behavior of discrete Markovian Petri nets (MPN). Based on this, an estimator-based control structure is introduced here for applying a control law designed for a TCPN into the original discrete system. The result is a control policy for driving a MPN system in such a way that the mean value of its marking will reach a desired value, by applying additional delays to the controllable transitions. A stock level control of a Kanban-based automotive assembly line is synthesized as an application example.

Keywords

Markov processes; Petri nets; control system synthesis; discrete event systems; kanban; stock control; supply chain management; Kanban-based automotive assembly line; MPN system; communication network; continuous state model; control law design; discrete Markovian Petri net; discrete event system; discrete system; estimator-based control structure; fluid model; performance control; performance evaluation; production systems; sequence controller; stock level control; supply chains; timed continuous Petri net systems; Added delay; Automotive engineering; Communication networks; Communication system control; Control systems; Discrete event systems; Level control; Petri nets; Production systems; Supply chains;

fLanguage

English

Publisher

ieee

Conference_Titel

Automation Science and Engineering, 2009. CASE 2009. IEEE International Conference on

Conference_Location

Bangalore

Print_ISBN

978-1-4244-4578-3

Electronic_ISBN

978-1-4244-4579-0

Type

conf

DOI

10.1109/COASE.2009.5234183

Filename

5234183