MPIDR Working Paper
On systems with shared resources and optimal switching strategies
MPIDR Working Paper WP-2008-025, 11 pages.
Rostock, Max Planck Institute for Demographic Research (October 2008)
Simple series systems of identical components with spare parts are considered. It is shown that the cumulative distribution function of a system failure time tends to a step function as the number of components increases and resources can be shared. An example of ‘continuous resources’ is also described. The time-sharing strategy for standby systems is investigated. It is proved that an optimal rule for a system of standby components with increasing failure rates is the single switching performed at t/2 , where t is a mission time.