On systems with shared resources and optimal switching strategies |
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Authors: | Maxim Finkelstein |
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Affiliation: | Department of Mathematical Statistics, University of the Free State, P.O. Box 339, 9300 Bloemfontein, Republic of South Africa |
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Abstract: | 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 be 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 a=t/2, where t is the mission time. |
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Keywords: | Resource Spare part Convergence in distribution Aging Optimal switching strategy |
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