Availability analysis of transport navigation system under imperfect repair

Abstract

The results of the classical renewal theory are used for the availability analysis of multistate systems under the assumption of imperfect renovation. A repairable system with the time of renovation ignored is considered. The system can be repaired after exceeding its critical reliability state, assuming that after a certain time or after a certain number of repairs the system cannot be restored to the state of full ability. The expected values of the times until the successive times of exceeding the reliability critical state, and the expected values of the numbers of exceeding the system critical state at a certain time point, are estimated. The theoretical results are applied to the availability evaluation of an exemplary transport navigation system. The results are compared for a single master navigation system and a navigation system with a back-up system.