Theory Of Petri Nets Under the guidance of: Dr. K.S Raju By:

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Presentation transcript:

Theory Of Petri Nets Under the guidance of: Dr. K.S Raju By: Jithin George 2011A4PS291H Venkatesh Mundada 2011A4PS279H BITS Pilani, Hyderabad Campus

OVERVIEW What are Petri Nets? Petri Nets and Civil Engineering Petri Nets & Systems Biology Other Field Of Applications: MCDM Game Theory BITS Pilani, Hyderabad Campus

Softwares : SNOOPY Charlie BITS Pilani, Hyderabad Campus

Petri Nets A graphical and mathematical tool A Petri net c = P,T,I,O consists of: -place -transitions -marking -tokens -arcs b a y BITS Pilani, Hyderabad Campus

Firing transitions To fire a transition t: a a b b b © Oscar Nierstrasz Petri Nets BITS Pilani, Hyderabad Campus

Vending machine: 15c 5c 0c 20c 10c Take 15c bar Deposit 5c Deposit 5c BITS Pilani, Hyderabad Campus

Irrigation Canal Problem: Mathematical Model: 1)rate of flow qbi as a function of the stored volume ρi: BITS Pilani, Hyderabad Campus

2) From the continuity equation at ith node: BITS Pilani, Hyderabad Campus

Discrete petri net model with of a canal with n reaches

Petri Nets & System Biology: Why System Biology? What are the applications of Petri Nets? BITS Pilani, Hyderabad Campus

The Niche Problem Niches are habitats Same species can live in different niches leading to clusters How can Petri Nets help? - Develop ESS strategy BITS Pilani, Hyderabad Campus

Other Applications: Feedback Inhibition Virus infected cells Prey-predator model BITS Pilani, Hyderabad Campus

Game Theory: Game Of Chicken: BITS Pilani, Hyderabad Campus

MCDM Applications: Compromise Programming Minimization through Petri Nets Constraint method- Siphon BITS Pilani, Hyderabad Campus

A ‘Real’ Investigative Tool BITS Pilani, Hyderabad Campus

Bibliography: Petri Net Modeling of Irrigation Canal Networks. Petri Net Modelling of Biological networks. A colored petri net model of tactical decision making A Survey of Petri Net Methods for Controlled Discrete Event Systems Peterson, J.L. (1981). Petri Net Theory and the Modeling of Systems. Prentice-Hall BITS Pilani, Hyderabad Campus

Thank You. BITS Pilani, Hyderabad Campus