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GRAFCET and Petri Nets Outline Introduction GRAFCET - EPFL

GRAFCET and Petri Nets Outline Introduction GRAFCET - EPFL

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Dining Philosophers<br />

t 7<br />

Exercise<br />

t 8<br />

eat p 11<br />

t 4<br />

p 4<br />

p 5<br />

p 10 p 6<br />

t 1<br />

p 7<br />

p 1<br />

meditate<br />

p 8<br />

t 2<br />

p 3<br />

p 2<br />

t 3<br />

p 12<br />

t 6<br />

<br />

A consulate let its clients enter then the entrance door is closed<br />

<strong>and</strong> the client may be served. After being served, each client<br />

leaves the consulate through another door. The entrance door<br />

cannot be opened again before all the clients have left.<br />

Design a PN with inhibitor arcs that represents this specification<br />

Modify the first solution so that only one client may enter at a time<br />

Describe the same case using an ordinary PN<br />

A maximum of 4 clients may enter before the door is closed. Model this<br />

case using an ordinary PN<br />

p 13<br />

p 5<br />

t 5<br />

Real-Time Programming <strong>GRAFCET</strong> <strong>and</strong> <strong>Petri</strong> nets 93<br />

© J.-D. Decotignie, 2007<br />

Real-Time Programming <strong>GRAFCET</strong> <strong>and</strong> <strong>Petri</strong> nets 94<br />

© J.-D. Decotignie, 2007<br />

Design <strong>and</strong> validation<br />

<strong>Petri</strong> nets properties<br />

<strong>Petri</strong> nets properties<br />

Design by successive refinements<br />

Analysis by reduction<br />

Structural properties<br />

Are only dependent on the topology<br />

Behavioral properties<br />

Depend on the initial marking<br />

Real-Time Programming <strong>GRAFCET</strong> <strong>and</strong> <strong>Petri</strong> nets 95<br />

© J.-D. Decotignie, 2007<br />

Real-Time Programming <strong>GRAFCET</strong> <strong>and</strong> <strong>Petri</strong> nets 96<br />

© J.-D. Decotignie, 2007

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