V. D. Dinopoulou, C. Melolidakis

Abstract

Consider a continuously operating system. A problem that arises in practice and is related to the optimal operation of the system is how to allocate limited repair resources in a most efficient manner, i. e. to maximize a measure of system performance. In this paper, we discuss the problem of existence of uniformly optimal dynamic repair allocation policies in K-out-of-N two tier systems, where the underlying structure is that of -out-of- systems with i. i. d. exponential lifetime components, the failure rate of which belongs in a neighborhood of 0. It is proved that a unique sush policy exists, depending on the state of the system and the particular structure under consideration.

Keywords: Controlled Markov Processes, Reliability, Queueing System.