Titlebook: Mathematical Foundations of System Safety Engineering; A Road Map for the F Richard R. Zito Textbook 2020 Springer Nature Switzerland AG 20

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Bounding the “Black Swan” Probabilityom any contingency plan. After all, if an event is unexpected, how can you know enough about it to calculate its probability? Yet, examination and comparison of a few classic, and catastrophic, mishaps reveal a remarkable common thread. Namely, one unexpected event often precipitates other rare even

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The Risk Surface Hazard Analysis. The first compilation details hazards at the beginning of a program, while the latter describes hazards at the end of a program after some mitigation has taken place during system development. Hopefully, there are fewer hazards after development than before. In addition to the work

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The Bent Pin Problem—I: Computer Search Methods of its two halves. A computer search game theory strategy is used. Finally, short-circuit probabilities are calculated on the basis of the number of paths found, path lengths, and the probability of any pin contacting its neighbor.

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The Bent Pin Problem—II: Matrix Methodstwo pins in a complex connector that undergoes a bent pin event when its two halves are joined. Only shortest paths are of interest in this chapter since these are most likely to form during a bent pin event. As in the previous chapter, short-circuit probabilities can then be calculated from the num

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The Bent Pin Problem—III: Number Theory Methodsinvolves multiple pins. Many short circuit paths are possible, and the enumeration of such paths is an essential step in determining the short circuit probability between any two pins. In this chapter, the third about bent pins, the enumeration of “simple” short circuit paths (without loops or switc

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The Bent Pin Problem—IV: Limit Methodscan involve single or multiple pins. Many short-circuit paths are possible between any two chosen pins. This chapter explores the monotonicity, convergence, and truncation properties of the probability series used to compute the total short-circuit probability P. for a theoretical connector having a

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The Bent Pin Problem—V: Experimental Methodscan involve single or multiple pins. Many short-circuit paths are possible between any two chosen pins. This chapter addresses the . f., and the probability that any one pin, when bent, will contact a neighboring pin. This probability is called the . P. These two numbers are fundamental, and underli

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