Abstract
The use of redundancy mechanisms is an important and effective way to improve the performance of the system. This chapter studies the optimal redundancy allocation problems in coherent systems. Both common schemes for allocating the redundant components to the system, which are called active and standby redundancies are studied. Consider a coherent system consisting of n independent components equipped with m independent redundant components. The effect of improving one or two components on both the system reliability and the system failure rate is discussed and a new measure of component importance useful for both active and standby redundancy problems is defined. Finally when the system components are dependent and in particular cases of series and parallel systems, a new concept of dependence (called it diagonally dependence) is defined to use it for stochastic ordering and redundancy allocation problems.
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