Sample 4 --- a non-series/parallel system

In this sample, we have a non-series/parallel system with 6 modules and 5 nodes.

1. Input the configuration of the system

NodesNum = 5      ModulesNum = 6 
InputNode = 1      OutputNode = 5

A = (1, 2)
B = (1, 3)
C = (2, 3)
D = (2, 4)
E = (3, 4)
F = (4, 5)

2. Click the first RUN, then you will get below:
Result:


The diagram is shown below: 
















System Reliability = 
     - Ra*Rb*Rc*Re*Rf
     + Ra*Rb*Rc*Rd*Re*Rf
     + Ra*Rd*Rf
     + Rb*Re*Rf
     - Ra*Rb*Rd*Re*Rf
     + Ra*Rc*Re*Rf
     - Ra*Rc*Rd*Re*Rf
3. Input the numeric value of reliability for each module:
0.9, 0.8, 0.7, 0.5, 0.9, 0.9
Click the second RUN, then you will get below:
Result:

The diagram is shown below















 
System Reliability = 

     - Ra*Rb*Rc*Re*Rf
     + Ra*Rb*Rc*Rd*Re*Rf
     + Ra*Rd*Rf
     + Rb*Re*Rf
     - Ra*Rb*Rd*Re*Rf
     + Ra*Rc*Re*Rf
     - Ra*Rc*Rd*Re*Rf

Given Ra=0.9, Rb=0.8, Rc=0.7, Rd=0.5, Re=0.9, Rf=0.9,
Rsystem = 0.8124300000000002

 

4. Input the numeric value of failure rate for each module:
1.5, 2, 2.5, 3, 3.5, 4
Click the third RUN, then you will get below:
Result:

The diagram is shown below:

System Reliability = 

     - e-1.5t*e-2t*e-2.5t*e-3.5t*e-4t
     + e-1.5t*e-2t*e-2.5t*e-3t*e-3.5t*e-4t
     + e-1.5t*e-3t*e-4t
     + e-2t*e-3.5t*e-4t
     - e-1.5t*e-2t*e-3t*e-3.5t*e-4t
     + e-1.5t*e-2.5t*e-3.5t*e-4t
     - e-1.5t*e-2.5t*e-3t*e-3.5t*e-4t



The diagram of R(t) vs time t is shown below: 















x10-1sec


R(t) = 0.8 when t = 0.0457763671875
R(t) = 0.5 when t = 0.1220703125
R(t) = 0.3 when t = 0.194549560546875
R(t) = 0.1 when t = 0.331878662109375

 

At time t = .1, R(t) = 0.5824351207217396
 

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