Solution exercise 5

Fault Tree


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Cut set(s) with 1 component (Total: 2)
   {Mo}
   {MP}
Cut set(s) with 2 components (Total: 4)
   {P1,P2}
   {P1,F2}
   {F1,P2}
   {F1,F2}

Unavailability [Qo(t)]

    t       Qo(t)
   0       0.0000e+000
   20     1.5035e-003
   40     2.2988e-003
   60     2.7297e-003
   80     2.9748e-003
   100   3.1204e-003
   120   3.2096e-003
   140   3.2656e-003
   160   3.3013e-003
   180   3.3242e-003
   200   3.3391e-003

Download CARA FaultTree file (Right click the link, and save)

Using the MOCUS algorithm, we obtain:

TOP
-------------------------
MP
G0
-------------------------
MP
G1,G2
-------------------------
MP
P1,G2
Mo,G2
F1,G2
-------------------------
MP
P1,P2
P1,Mo
P1,F2
Mo,P2
Mo,Mo
Mo,F2
F1,P2
F1,Mo
F1,F2

Since Mo,Mo could be replaced by Mo, we se that P1,Mo, Mo,P2, Mo,F2 and F1,Mo are not minimal, that is, we remain with the following minimal cut sets:

MP
P1,P2
P1,F2
Mo
F1,P2
F1,F2

which are identical with the results from CARA