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4 Pages

### L5-BDDorder

Course: ECE 591, Fall 2009
School: UMass Dartmouth
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Word Count: 378

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Ordering ECE591-S'08 Variable in BDD The size of BDD depends heavily on the input variable ordering used to build the BDD The poor ordering can significantly affect the size of the BDD, thus the reliability analysis solution time for large systems! Currently there is no rule-based means of determining the best way of ordering basic events for a given Referencestree structure fault J. B. Dugan and S. A. Doyle....

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Ordering ECE591-S'08 Variable in BDD The size of BDD depends heavily on the input variable ordering used to build the BDD The poor ordering can significantly affect the size of the BDD, thus the reliability analysis solution time for large systems! Currently there is no rule-based means of determining the best way of ordering basic events for a given Referencestree structure fault J. B. Dugan and S. A. Doyle. New Results in Fault-Tree Analysis Tutorial Notes of the Annual Fortunately heuristics can usually be Reliability and Maintainability Symposium, January 1997 used to find a reasonable variable M. Bouissou, F. Bruyere, and A. Rauzy. BDD ordering Based Fault-Tree Processing: A Comparison of Variable Ordering Heuristics, Proceedings of ESREL97 conference, June 1997. Dr. Xing L5-extra 1 Dr. Xing Example Heuristics H1: Top-down, left-right approach The indexing results results from a depthfirst left-most traversal of the fault tree Example: the order in which variables are visited for the following fault tree induces the ordering L5-extra 2 1 ECE591-S'08 Example Heuristics (Contd) H2: works in 3 steps Associate each terminal variable with weight 1 and propagate these weights bottom-up fault through tree by associating to each intermediate variable the sum of weights of variables occurring in its definition Sort arguments of connectives in increasing order of their weights Apply H1 on the resulting fault tree H2: Example Example: consider fault tree FT-BDD2 Associate weight 1 to a,b,c,d,e Compute the weights of g0, g1, g2, g3 Rewrite g2 as g0, g1, g3 keep unchanged! Perform a depth-first, left-most traversal of the resorted fault tree Dr. Xing L5-extra 3 Dr. Xing L5-extra 4 2 ECE591-S'08 Example Heuristics (Contd) H3: works in two steps Sort the arguments of each connective according to their number of references or fanouts Apply H1 on the resulting fault tree H3: Exam...

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