More Complex Configurations Consider the configuration shown in the figure below. It is considered operational if there is an operational path between the input and output. This configuration is neither series nor parallel and not even obtained as a combination of these basic configurations. How can we still compute the reliability? We study three methods, one exact and two approximate. Exact calculation by exhaustive enumeration We can list all possible states of the system (see table on the next page) and assign ``up" and ``down" system condition to each state. Then the reliability can be obtained by summing the probability of the ``up" states. This usually yields a long expression, see next page. Even though the obtained expression may be simplified, this method is only practical for small systems, due to the exponential growth of the number of states. For N components there are 2N possible states, making exhaustive enumeration a non-scalable
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