Research Article
A Heuristic Methodology for Efficient Reduction of Large Multistate Event Trees
Table 6
Final reduced event table for case study 1.
| | No. of event tree branch (or implicant) | Blocks states | Outcome | | I | C | M | Q | U | X | E | I | V | W |
| | 1 | — | 2 | — | — | — | — | — | — | — | — | 4 | | 2 | 1 | 1 | — | — | — | — | 1 | 1 | — | 1 | 5 | | 3 | 1 | 1 | — | — | — | — | 1 | 1 | — | 2 | 2 | | 4 | 1 | 1 | — | — | — | — | 1 | 2 | — | — | 3 | | 5 | 1 | 1 | — | — | — | — | 2 | — | — | — | 3 | | 6 | 2 | 1 | — | 1 | — | — | — | — | — | 1 | 5 | | 7 | 2 | 1 | — | 1 | — | — | — | — | — | 2 | 2 | | 8 | 2 | 1 | — | 2 | 1 | — | — | — | — | 1 | 5 | | 9 | 2 | 1 | — | 2 | 1 | — | — | — | — | 2 | 2 | | 10 | 2 | 1 | — | 2 | 2 | 1 | — | — | 1 | 1 | 5 | | 11 | 2 | 1 | — | 2 | 2 | 1 | — | — | 1 | 2 | 2 | | 12 | 2 | 1 | — | 2 | 2 | 1 | — | — | 2 | — | 1 | | 13 | 2 | 1 | — | 2 | 2 | 2 | — | — | — | — | 1 | | 14 | 3 | 1 | — | — | 1 | — | — | — | — | 1 | 5 | | 15 | 3 | 1 | — | — | 1 | — | — | — | — | 2 | 2 | | 16 | 3 | 1 | — | — | 2 | 1 | — | — | 1 | 1 | 5 | | 17 | 3 | 1 | — | — | 2 | 1 | — | — | 1 | 2 | 2 | | 18 | 3 | 1 | — | — | 2 | 1 | — | — | 2 | — | 1 | | 19 | 3 | 1 | — | — | 2 | 2 | — | — | — | — | 1 | | 20 | 4 | 1 | 1 | 1 | — | — | — | — | — | — | 5 | | 21 | 4 | 1 | 1 | 2 | 1 | — | — | — | — | 1 | 5 | | 22 | 4 | 1 | 1 | 2 | 1 | — | — | — | — | 2 | 2 | | 23 | 4 | 1 | 1 | 2 | 2 | 1 | — | — | 1 | 1 | 5 | | 24 | 4 | 1 | 1 | 2 | 2 | 1 | — | — | 1 | 2 | 2 | | 25 | 4 | 1 | 1 | 2 | 2 | 1 | — | — | 2 | — | 1 | | 26 | 4 | 1 | 1 | 2 | 2 | 2 | — | — | — | — | 1 | | 27 | 4 | 1 | 2 | — | — | — | 1 | 1 | — | 1 | 5 | | 28 | 4 | 1 | 2 | — | — | — | 1 | 1 | — | 2 | 2 | | 29 | 4 | 1 | 2 | — | — | — | 1 | 2 | — | — | 3 | | 30 | 4 | 1 | 2 | — | — | — | 2 | — | — | — | 3 | | 31 | 4 | 1 | 3 | — | 1 | — | — | — | — | 1 | 5 | | 32 | 4 | 1 | 3 | — | 1 | — | — | — | — | 2 | 2 | | 33 | 4 | 1 | 3 | 1 | 2 | — | — | — | — | 1 | 5 | | 34 | 4 | 1 | 3 | 1 | 2 | — | — | — | — | 2 | 2 | | 35 | 4 | 1 | 3 | 2 | 2 | 1 | — | — | 1 | 1 | 5 | | 36 | 4 | 1 | 3 | 2 | 2 | 1 | — | — | 1 | 2 | 2 | | 37 | 4 | 1 | 3 | 2 | 2 | 1 | — | — | 2 | — | 1 | | 38 | 4 | 1 | 3 | 2 | 2 | 2 | — | — | — | — | 1 |
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