K18={X1,X2,X17,X20} K38={X1,X3,X17,X20}
K19={X1,X2,X18,X20} K39={X1,X3,X18,X20}
K20={X1,X2,X21,X22} K40={X1,X3,X21,X22}
③求最小径集
利用布尔代数化简法求成功树的最小割集,即为事故树的最小径集:
T/= X1/+A1/+A2/= X1/+X2/X3/+
X4/X5/X6/X7/X8/X9/X10/X11/X12/X13/X14/(X15/X16/X17/X18/+X19/X20/)(X/21+X22/)
=X1/+X2/X3/+X4/X5/X6/X7/X8/X9/X10/X11/X12/X13/X14/X15/X16/X17/X18/X21/
+X4/X5/X6/X7/X8/X9/X10/X11/X12/X13/X14/X15/X16/X17/X18/X22/
+X4/X5/X6/X7/X8/X9/X10/X11/X12/X13/X14/X19/X20/X21/
+X4/X5/X6/X7/X8/X9/X10/X11/X12/X13/X14/X19/X20/X22/
成功树的6个最小割集:{X1/};{X2/,X3/};{X4/,X5/,X6/,X7/,X8/,X9/,X10/,X11/,X12/,X13/,X14/,X15/,X16/,X17/,X18/,X21/};{X4/,X5/,X6/,X7/,X8/,X9/,X10/,X11/,X12/,X13/,X14/,X15/,X16/,X17/,X18/,X22/};{X4/,X5/,X6/,X7/,X8/,X9/,X10/,X11/,X12/,X13/,X14/,X19/,X20/,X21/};{X4/,X5/,X6/,X7/,X8/,X9/,X10/,X11/,X12/,X13/,X14/,X19/,X20/,X22/}
即事故树的最小径集有6个:
P1={X1}
P2={X2,X3 }

