Long-run availability of a two-unit standby system subjected to a priority rule

摘要

We introduce a basic two-unit cold standby system subjected to a priority rule and attended by two different repairmen. In order to determine the invariant measure of the twin system, we employ a stochastic process endowed with probability measures satisfying general Hokstad-type differential equations. The solution procedure is based on advanced methods of complex analysis (sectionally holomorphic functions). Finally, we derive the long-run availability of the system.