The Importance of an Item in a Multistate System
نویسنده
چکیده
A bstract We define the utility of the specified up state of the system, 2: Xi, consisting of n independent multistate items. A measure of importance of an item and that of a given state of an item are discussed with respect to the expected utility function. It is shown that., for non-decreasing utility functions, the perfect state of an item yields maximum contribution to the expected utility function. However, such a choice of a state is not obvious when the utility function is non-monotonic. In this case, we propose the use of the linear programming technique to decide the availabilities of states of an item so that its contribution to the expected utility of the system is maximum. Further, we derive sufficient conditions to compare the overall and the state-wise impact of any two items on the expec1;ed utility of the system. A numerical example is given to illustrate the procedure.
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