Register to reply

Inclusion/Exclusion Expansion for minimal cut sets

by FizicistsRool
Tags: expansion, minimal, sets
Share this thread:
Feb9-13, 01:01 AM
P: 7
I am following the OpenFTA (Fault Tree Analysis) User Manual at Page 81 uses the inclusion/exlusion expansion to express the top-most fault in terms of minimal cut sets. Page 82 shows the same inclusion/expansion expansion broken up into components. However, it looks like there are typographical errors.

1) I suspect that the P1's are suppose to be P1, P2, P3, etc. based on the implied definition of Pi just before mid-page.

2) The third component [P3, if my point (1) above is correct] should have an addition rather than a subtraction.

3) The paragraph following the P1/P2/P3 says that each line has N-choose-r sub-terms. This should be N-choose-i (and N should not be capital).

4) In the same sentence, it says there are 2N terms. I believe this should be 2^N (same as the normal inclusion/exlusion expansion).

I am new to FTA and I arrived at the above 4 point by surfing the web for information on FTA. Can anyone confirm this?

Phys.Org News Partner Science news on
Experts defend operational earthquake forecasting, counter critiques
EU urged to convert TV frequencies to mobile broadband
Sierra Nevada freshwater runoff could drop 26 percent by 2100

Register to reply

Related Discussions
Inclusion - exclusion principle Precalculus Mathematics Homework 6
Inclusion/Exclusion in Probability Calculus & Beyond Homework 2
Inclusion exclusion Calculus & Beyond Homework 0
Inclusion/Exclusion Combinatorics Calculus & Beyond Homework 15
Principle of Inclusion-Exclusion Help General Math 6