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1 1999

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Proposal of PFS-R as a modelling tool for complex resource sharing discrete production systems.

Hasegawa K., Miyagi P.E., Takahashi K., Ma L.-Q., Sugisawa M.

Systems Science

1999

Vol. 25, nr 1

57-70

Recently, the structures of discrete production systems with shared resources, which offers flexibility in dealing with production of multiple types of parts of products, are getting much more complex. Because of increasing complexity of the systems, the structure of graphical representations such as Petri nets becomes more and more elaborated, considerably decreasing the visual and intuitive understanding of systems, and thus, eliminating the value as an interface between system designers and modeller who are involved in the design procedure. This has been the biggest drawback of actual adoption of Petri nets as a modelling tool for such system control despite facts that their benefits have already been recognized. The authors propose a novel graphical representation "PFS-R" suitable for modelling of complex recourse sharing discrete production systems, e.g., FMSs. The PFS-R is an augmented version of PFS (Production Flow Scheme, previously proposed by authors) based on the correspondence from a set of system resources to a set of production steps in PFS. PFS-R is able to model system structures as well as system behaviour in more simplified and transparent manner than conventional Petri net representations. First, the paper introduces basic elements of PFS-R, and equivalent transformation of PFS-R model to hybrid net and Petri net model, taking into account the net conservativity. Next, we present three examples of discrete production systems to illustrate the effectiveness of PFS-R. In addition, we deduce through an example that the correspondence between resources and production steps in process flows has the three structure, which is effective to evaluete whether or not the object designed has a well-defined structure, i.e. so-called conservativity in the terms of Petri net theory.