Browsing by Author "Finkelstein, Maxim"

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Citation - WoS: 4
Citation - Scopus: 4
On Optimal Maintenance of Degrading Multistate Systems With State-Dependent Cost of Repair
(Wiley, 2021) Finkelstein, Maxim; Eryilmaz, Serkan
This 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.
Citation - WoS: 7
Citation - Scopus: 9
Reliability of the Two-Unit Priority Standby System Revisited
(Sage Publications Ltd, 2022) Eryilmaz, Serkan; Finkelstein, Maxim
This paper deals with reliability assessment of the repairable two-unit cold standby system when the first, main unit has the better performance level than the second one. Therefore, after its repair, the main unit is always switched into operation. The new Laplace transform representation for the system's lifetime is obtained for arbitrary operation and repair time distributions of the units. For some particular cases, the Laplace transform of the system is shown to be rational, which enables the use of the matrix-exponential distributions for obtaining relevant reliability indices. The discrete setup of the model is also considered through the corresponding matrix-geometric distributions, which are the discrete analogs of the matrix-exponential distributions.