Department of Industrial Engineering2024-11-0920100377-221710.1016/j.ejor.2010.07.0192-s2.0-77957696846http://dx.doi.org/10.1016/j.ejor.2010.07.019https://hdl.handle.net/20.500.14288/7411We analyze mean time to failure and availability of semi-Markov missions that consist of phases with random sequence and durations. It is assumed that the system is a complex one with nonidentical components whose failure properties depend on the mission process. The stochastic structure of the mission is described by a Markov renewal process. We characterize mean time to failure and system availability under the maximal repair policy where the whole system is replaced by a brand new after successfully completing a phase before the next phase starts. Special cases involving Markovian missions are also considered to obtain explicit formulas. (C) 2010 Elsevier B.V. All rights reserved.ManagementOperations researchManagement scienceJournal Article283835900029Q11496