期刊
MATHEMATICS
卷 10, 期 21, 页码 -出版社
MDPI
DOI: 10.3390/math10214098
关键词
degradation process; optimal control problem; threshold-based policy; average cost; Markov death process; reliability function
类别
资金
- University of Linz
- RUDN University Strategic Academic Leadership Program
This paper investigates the optimal control problem of random degradation processes in dynamical systems with a random law of motion. It considers two degradation models and uses threshold-based control policy and Markov models for numerical calculations.
Optimal control problems are applied to a variety of dynamical systems with a random law of motion. In this paper we show that the random degradation processes defined on a discrete set of intermediate degradation states are also suitable for formulating and solving optimization problems and finding an appropriate optimal control policy. Two degradation models are considered in this paper: with random time to an instantaneous failure and with random time to a preventive maintenance. In both cases, a threshold-based control policy with two thresholds levels defining the signal state, after which an instantaneous failure or preventive maintenance can occur after a random time, and a maximum number of intermediate degradation states is applied. The optimal control problem is mainly solved in a steady-state regime. The main loss functional is formulated as the average cost per unit of time for a given cost structure. The Markov degradation models are used for numerical calculations of the optimal threshold policy and reliability function of the studied degrading units.
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