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Article Citation - WoS: 5Citation - Scopus: 5On Optimal Maintenance of Degrading Multistate Systems With State-Dependent Cost of Repair(Wiley, 2021) Finkelstein, Maxim; Eryilmaz, SerkanThis article considers an optimal maintenance policy for the multistate systems with the finite number of states. Each state is described by its level of performance ranging from the perfect one to the zero level for the state of failure. Moreover, we assume that the cost of preventive maintenance (PM; i.e., repair/rejuvenation in our case) also depends on the state of a system. Based on the proposed policy, the expected cost per unit of time is defined and the conditions for the existence of the unique and finite PM time are obtained in terms of dynamic reliability characteristics of the system. The results are applied to the three-state Markovian system and a parallel system with n components. The latter is also discussed for the case of the positively dependent components.Article Citation - WoS: 23Citation - Scopus: 26Lifetime of Multistate k-out-of-n< Systems(Wiley-blackwell, 2014) Eryilmaz, SerkanA multistate k-out-of-n system model is an extension of binary k-out-of-n system model by allowing multiple performance levels for the system and its components. Various definitions of multistate k-out-of-n system model have been proposed in the literature. Previous studies on these systems mostly focus on reliability evaluation algorithms. The present paper investigates the lifetimes of multistate systems. In particular, the lifetimes of two different multistate k-out-of-n system models are represented in terms of order statistics, and bounds and approximations are presented using these representations. The results are illustrated for a multistate system whose components' degradation occurs according to a Markov process. Copyright (C) 2013 John Wiley & Sons, Ltd.
