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Weighted Diagnosis with Asymmetric Invalidation
December 1996 (vol. 45 no. 12)
pp. 1435-1438

Abstract—Prior research has extended the classical PMC (or Symmetric Invalidation) Model to incorporate a priori weights or probabilities associated with units. We consider a similar extension to the BGM (or Asymmetric Invalidation) Model. In contrast to the PMC model, where deciding the weighted diagnosability number is co-NP complete, we show that the diagnosability number in the weighted BGM model can be obtained in O(m2) time, where m is the number of tests in the system. We also show that diagnosis in this weighted model can be performed in O(T(n)) time, where n is the number of units in the system and $T(n) \approx n^{2.376}$ is the amount of time needed to multiply two n by n matrices.

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Index Terms:
Asymmetric invalidation, weighted diagnosability, diagnosis, PMC model, BGM model.
Vijay Raghavan, "Weighted Diagnosis with Asymmetric Invalidation," IEEE Transactions on Computers, vol. 45, no. 12, pp. 1435-1438, Dec. 1996, doi:10.1109/12.545973
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