Question: I'm having trouble modeling these problems using Petri nets. Can you help me model them? For each of them, I need a drawing: 1 )

I'm having trouble modeling these problems using Petri nets. Can you help me model them?

For each of them, I need a drawing:

1 ) Give the stochastic Petri net associated with this system. 2) Give the marking graph. 3) Give the Markov process graph

PROBLEM 1:

A production station can be in two states of failure, mild and severe, depending on the severity of the failure. Severe failure is only diagnosed from the light failure state. Once the light or severe failure has been repaired, the station is back in an operational state. Failure and repair rates are random variables distributed with an exponential law, whose parameters are as follows:

Light failure (1) Severe failure (2) Failure rate : lambda1 = 2 lambda2 = 4 Repair rate : 1 = 6 2 =9

PROBLEM 2:

A maintenance team carries out two types of operations on a production site: maintenance operations on production equipment and maintenance operations on buildings. When the team is not performing maintenance operations, it remains on standby. Machine travel and repair rates are as follows:

Production equipment (p) Building (b) Displacement rate lambdap = 2 lambdab = 5 Repair rate p = 7 b = 9

Thanks in advance

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